Maths-
General
Easy
Question
In the given figure, find the values of x y, and z.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAABtCAYAAAAPvpXAAAAPHElEQVR4nO3deVRV9d7H8TcHBGS4EgLiBA7kjGM53EITLtehi/SUDZqAXiSHKJwV09ujZVwnHMJ57maiaWiaQoDmrE8kUs5Z3gwFUREZZPAMzx8oQaBs4BwP4Pe1FmvB3vvs82WxP/u39+Z3fj+TrNx8HUKIcqmMXYAQNYWERQiFTHQ6nVyGiVorO69Ab/uSlkUIhSQsQigkYRFCIQmLEApJWIRQSMIihEISFiEUkrAIoZCERQiFJCxCKGRWqVdpLvLZ+A/YmazFRGWGxV8a4Na5L68O8aWzo6meSxSieqhcy6K5w5m4ODLchzNyxNu88kJj7sTOxLujF7MP39FziUJUD5XrSFlwgimdX+bqrN+JfN3qwcIcEj8ZgNfGjnyZGIGXtX4LFU8PTcphVi+IYPvh89woqIujS1t6DvRn1AhPmllUbF/VtCOlNV3eC2Fg5k62HMzT327FU0VzdQsBL77G2rseTFodxZ4dq5n5eguurp9P5K8ao9ZWuXuWR6nbkhbOGZy8mokWS3l6ICoom5iPphHTdg4Jq4NwfXAANWvZCc83c8jBuPfD+g2LJp3bd82pZ2eFCmjTpg03btwoc1MTExPMzc31+vai+lKr1eTk5Dxy/apVq/B/swnfxGfRZ84bRUEpYm6Nsa/s9RqWrCM7iM18gam9C+9jLl++TPPmzalXr16J7e7du8f9+/eJi4srWqb5bSdhn4P/tFdwKeMEUvZ6LWlH1rLoP99x8febZKscaecdyMQxXjSVHFYrCQkJhISEEBISUmpdaGgoFy5cALUpKbcccG1S1wgVlk8vYdHmpZK4awlTJu6gyfQYhjX647SwdOlSBgwYUGL7U6dO4efnh6urK9yJZ96k5eyOj+ZkvQmMdXHFtXhVj12vJmNfDo19phD8UgfqZxzg439OYKL9IY7O6KjnZlNURXJyMs7OzkyePLnUuhkzZhR+Y2qFtWUOWZnaJ1ydMpU/nnRZRAU2wX6UDq3OggbtX+KNhfFMfbM9FXpgYe2Ob3AoHu73GbSxouvN6DR6MZ2Kfm5K8P8swuv492TTEbuK/1bCmMy78nyHLJbFf0/eyx5YGrueP6lcWMx7Mu98AfP0UYG5E627OJH3mx1mJpVYX5w2nbPnUnBwcaV6NuTisVRNeXvcGywJGMdUz53M/0dTzAFyLvH1oi/Iensmbzc33k1+LXpgpeHqlxP5+HhnQt57qWKtm6gmVNQftIRdi57nhzGdaPpsV3p0d8fF1YPQ4zocbMo7WxpWLbms15IWM5VX3z+N1+pvCWlXS36tp5I1HYav5Ij/QlJ+vsz1e+Y4u7Wisa3xu1HVgqNKw7U9E/EdfZheq6NZ7Nu4NjWXTy+VNQ1bd6KhsesopoYfV/mcW/82XsFneGXLtyzxbWrkf1uJ2szgLcuGDRs4dOhQiWWpqalF32uvreSVbtM5cu8ed3NV9HVaSdMR2/hpYd/y12tTiNkUxS9pdQn3fZbwhzs19yDsVBSjGtXwc0Etc/r0aZycnEotLyjQX/8tQzLoiJT29vYMHToUBweHUuscHR159913DfXWopq5e/cuSUlJZa4bOHAgBw8epFu3bnp/X312pDRoWJo1a0ZMTAytW7c21FuIWsDOzo6LFy/SoEEDve+7mvY6FqJ2k7AIoZCERQiFJCxCKCRhEUIhCYvQH+1Njqz/N0v3/or64aIbh1g7dx2H06pnt/uKkLAI/VHVp3XDq6wc7s+8H/JA8ysbRvmzJLkJ7Rxq/qFWC/qGiepDheOA+WwM9sYncCrP+CaxICuYr+b3o37Nz4oxw6Ll+o7phGy+RMkxO0xpNzgI12NLWXfovxTUd2fQhDBm+DSTZNcI1nSfvpEPDvXgvWW9WXVqAp2q26e4KsmIx5+Kel18GWmVQdHVrDaFqKnj2PPpce44TWTTtkHYnVlKUNAwLOO+Y1oHiUtNoP5lP7FXnHCzTmD7nksEjG1TO050OgNydXXVjRkzRnf9+nVF22dGj9a5Nfqrroe9u+6DhPsPlt7RbR7soOs8M1F3/7GvFtVC5lHdjO6uuv4R53S3D03RdXF4XjfjaFapzXJycnQbN27UBQYG6kxMTHSpqakGKScrN19vXwa/kszIyMDd3Z3Fixej0TxmkDTNOZZ/tB2n19y5V+BKS7eH5yIrWrRw5L/nzpNv6GJF1WhTiBo3gs9d57BqTFvsPWaxfoIFK0aMY9eNwuuH/Px8IiIicHNzY/v27XTp0gUrK6tydlw9PJGOlCYmJgQFBZGXl8emTZto06bNn7bUkrZtGF1DbVm+1IIJfmmEJUdSODKsmp9m9aDXsXe4EjMKR0MVKwwuLy8Pb29v6tatS1hYWFEvY+lIWUyrVq04cOAAAQEBeHp6cu7cuZIb5H/P4jmxtJswDW97C+rotBR/Kp9fUICJuTkyFFjNpdFoGDZsGI0bNyY6Otog3fENrcr3XZqLnzH+g50kl/ifkzUvTl5XYjuVSsXYsWOxtbXF29ubgwcP4ubmBmj5bdNs1qr92TGiORYZrjTSJJB6SwsuKkDDzbQMHJu6VLuhcYQyOp2O8ePHc/v2baKjo1GpauZz5KqH5c4Z4uIyeP2zyfSs82ChiTmNWpixtIzt/fz8uHbtGlOmTOGrr76CrHjmzj/FizPX8IIVqCy88HafRdS2i4yZ1Baz9Fh2HNDhseA5GbGlhjp69Ci7d+8mMTERC4tH/xXLPvGa0vKthcx/w8XgdZZHP0/0TJ3o8LcBDFB4n/b+++/TvHlzzp8/A7tns7XeO8S91ajwmtC0Le8umMiBIZ60j3TBMvU3TPovYpdPvfJ2K6qpFStWEBISgp3d44c9LPPEi4p6rewNXqMS+gmLNovkM0kkPThpqP7iQvvmzzxycysrK4YOHUpU1NdMn36Y21NKrrftNY2YS0H8cv538hxa0raxrfTLqaFu3rzJ3r17iYiIUPaCCp54nyS9hEWX+3+sDH6HyAdjoJm/OIPohT6PfY2joyOZmZmP3sC8Pi071ddHecKI9u/fT58+fXjmmUefPEtQX+Xw5g1kFx2ZKup39WVQJ+MPxquXsJhYe/Hxdw8f9ZaUn59f5lQD58+fp3379o+dhkDUfAkJCeX+nUv890J9iwvHj3Kv6FLCFFcH79oTlscJDg7m2LFjJZbpdDq0Wi0qleqPEdRFraTVFt6tz50795Hb1KlT548fLLsSFLG2zBOvsRk8LGvWrJHRXZ5iQ4YMwcfHh6FDhz5ym/Ju/KsLuW8WBmVnZ0d6erqxy9CLKrcs5j3nce62PkoRNVl2wud8uu9K0SckwYS6HV6jbYcO/PTjj4r3o8uKIrCJPaOKltSh87QD7J/STq/1Vkat6DktqgGtBrVaXRgW9RW+Wb4bq1Bf5vbtTsSSJeh0OkxMHj9lhHnPeZwv0MusPwYhYRF6YdM9gJndAe6wf6IXm/uGs22iO81VOiwsLDhw4ACenp7GLrNK5J5F6JGGq1+MZXTsC0SsCaCFaeGs1GPGjGHZsmXGLq7KJCxCb/KSwhk+I4V/bppP/2Ifuvfz8+P06dOsX7/eiNVVnVyGCb3QpscxLWANjrNjmdylZP9wW1tb9u3bR+/evXF2dmbgwIFGqrJqpGUReqDh0qoZrDjzO9Hvd8HR3h57e3ucfVdx/UEP4latWrFz504CAgLYs2cPBvzMocFIWIQemNIm9AT56lzupqeT/uArddcois8n1bNnTyIjI5k0aRJ9+vQhPj6+xkxkBBIW8YR5eXlx5swZAgMDmTRpEvb29mRlZRm7LEUkLOKJMzMzIyAggMTERLKzs7G1tTV2SYpIWIRQSMIihEISFiEUkrAIoZCERQiFjBoWzZW9fBoexQV1sWWXd7N4RSy/P2akVyGMwahhMXXQcHrxOBZEP3zOnsP+BeNYdkZFfVNjViZEaca9DLPtR9BbNuxat4NULWjTdrLqa3uGjepDNfwItnjKGfmexZznAwNofXA9my8XcOWLdRztFMgImYdFVEMGPSpzcnL45JNPsLcve0TB2bNnY/usH4Ee81m05jPSYn/mb/96q3CIY1GrnDhxgn79+pW5LjMzk5UrV/Lhhx8+4aoqxqBhyc3NJTk5uYwpJmDWrFlMmzYNW9uGDB7pw7+GhLC8yWj2vVwzRvoQFaPRaGjYsCGbNm0qtc7Dw4P8/Oo/+47Br3c8PDwIDQ0ttbz4OFK2f/fD12kbp0aMpJeM/l1r2djY0KNHj1LLi382v8Tg4CamWNRrjLv3MEa9+ZzRJ3Gt+ttrLrAxeDCvjVxOYiV7W6svH+eHXC+C/FsjD8Gebg8HB3cfHkRQoB+v9jAjdsLf8VtztcScPcZQ5ZZF/eNmlnyZSKY2iQ3DAunyUkWbhnscXL6BlJcXM7ih3KwI/jQ4uCf5MWuYc/kaalyMOqFVFY/OAhIio7g1YA5zXs5l95bvuFfRXWjvYtFrKqtC+1MzOmoLg3s4K8Pp79n/n/9l/aW/Mtqvm9Fnfqtay5J/gsidmfQL9+Efulgmj95KfHY/fGwqsA9VQ14cNrJKZYjapfisDJq8dFKznyHx2E9kd+xGRQ4tfatSy5J3OJLd+f15ra81Np6DGWC6j8joDH3VJp5ShbMynOTkyZMkJP3MhS/7c3bqaMJ/Upf/YgOqQlhyiI/cTbqrHWm7trBlVxp2zXKJ2bqX2jGyrdC3+/fvc+vWrVJf5bFx70FHm2SuXDFuWCp/GZb1LVv36WjdK4W4vSmFyxzbYBG/la9vvMXwBoU5DAsLIzw8vPTLs7Lw9/fH0lKmVX0apKenc/bsWZydnUut02g0mJs/4o5EfZOEdeuIVffio+eMe9dioqvkmDR3tr5Ju49bsCsxjO4PI6dO4IOu3px69yzfjGrE+rVrSUtLe+Q+mjVrhpmZdG0RMGjQICwtLSk4MYVOvZdwzcYaM3RotWbUb9efsf9eyPjeThW+FMrO09/oMZULi/Ymnw1uR3j7aBI+6laseVKT9GF3+hwZQVLse7jKk2BhZMYPixA1hD7DIud+IRSSsAihkIRFCIUkLEIoJGERQiEJixAKSViEUEjCIoRCEhYhFJKwCKGQhEUIhSQsQigkYRFCITN99soUojaTlkUIhSQsQigkYRFCIQmLEApJWIRQSMIihEISFiEUkrAIoZCERQiF/h+fXv3GgJnacwAAAABJRU5ErkJggg==)
The correct answer is: ![88 to the power of ring operator end exponent comma 68 to the power of ring operator end exponent comma 92 to the power of ring operator end exponent](data:image/png;base64,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)
![space I n space Q u a d r i l a t e r a l space D C E F space
angle space F D C plus angle D F E plus angle D C E plus angle F E C equals 360 to the power of ring operator space left parenthesis a n g l e space s u m space p r o p e r t y space o f space a space q u a d r i l a t e r a l right parenthesis space
space 112 plus 70 plus 90 plus x equals 360 space ring operator
space x equals 360 to the power of ring operator minus 272 to the power of ring operator
space x equals 88 to the power of ring operator](data:image/png;base64,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L21uPjxtbz4rPC9tbz48bWk+eDwvbWk+PG1vPj08L21vPjxtbj4zNjA8L21uPjxtbz4mI3hBMDs8L21vPjxtbz4mI3gyMjE4OzwvbW8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bW8+JiN4QTA7PC9tbz48bWk+eDwvbWk+PG1vPj08L21vPjxtc3VwPjxtbj4zNjA8L21uPjxtbz4mI3gyMjE4OzwvbW8+PC9tc3VwPjxtbz4tPC9tbz48bXN1cD48bW4+MjcyPC9tbj48bW8+JiN4MjIxODs8L21vPjwvbXN1cD48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtbz4mI3hBMDs8L21vPjxtaT54PC9taT48bW8+PTwvbW8+PG1zdXA+PG1uPjg4PC9tbj48bW8+JiN4MjIxODs8L21vPjwvbXN1cD48L21hdGg+gT5b5AAAAABJRU5ErkJggg==)
x+z=180 (linear pair)
z=180-88
z=92
y=90 (given)
Related Questions to study
Maths-
ABCD is a quadrilateral. AD and BD are the angle bisectors of angle A and B which meet at ‘O’. If ![C equals 70 to the power of ring operator end exponent comma L equals 50 to the power of ring operator end exponent. text Find end text left floor A O B](data:image/png;base64,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)
![](data:image/png;base64,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)
ABCD is a quadrilateral. AD and BD are the angle bisectors of angle A and B which meet at ‘O’. If ![C equals 70 to the power of ring operator end exponent comma L equals 50 to the power of ring operator end exponent. text Find end text left floor A O B](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
maths-
In the unit Square, find the distance from E to
in terms of a and b, the lengths of DF and AG , respectively.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOIAAACtCAYAAACtHqNuAAAW1ElEQVR4nO3deXxM9/7H8ddkJQmxVBBBiVpqvbRFtdTSJbWViqK2W5GIfQ2yVRIRSYgmQkhGKaXoRShtKe6lWltpqVt705vWlR9iSSIkkpnfH5ourlonc86Z83k+Hv2js3zP22Te8z3rjMFsNpu5Q97Nwjtvuiu3Mk4P9DghlPCg72M1sFM6gBBCiiiEKkgRhVABKaIQKiBFFEIFpIhCqIAUUQgVkCIKoQJSRCFUQIoohApIEYVQASmisKACPhvuhYNDTQK2FigdRlOkiEKogBRRCBWQIgrLMxdw7tCnfLJ5K99lmZROowlSRGF5potsCelNj54DmLNXO9cEKskgFwYLyzFx+eR+vj9fgBnA4EjVJm1pVFmZz3stXRgsRRQ2S0tFlFVTIVRAiiiECkgRhVABKaIQKiBFFEIFpIhCqIAUUQgVkCIKoQJSRCFUQIoohApIEYVQAR0WsZjCmzcpkqtzhIror4g3NzO8bjuivi9SOokQv3FQOoBtMnHlyFqS5q9ix7cZXDaXo1rtRjz3Sl/eGfQq9dyUzifURn8z4q+Ks3azaPpwBv99HPGfZmC5rzoykfXJGDq8HMG/vYcQu/ITtqyez5QeXpxeOJzwz/IttiRhO/R3PeLNjQypNYAvandj8EAfnuZr5s/6ivZrDzC3g+vjj5/3BYHN+3N24n4+G+WN/R/vu57B2Wu18Pa0/6tnCwuS6xHvq5gTy0bT500/Fn6rwIvl0JDhxpXMHjeUwePmE+tbwNoVuywyKxYc3MjWqx35+8A7SgjgWkdKKO5KmW3EoqOsTPyYb3NMHFk6kGF/ewlnRYIAOFKvXk2uff4LefDYOYr++18uPfEkNcve/n9T9l5WfrCHrGLA4EzD7iPp3kA2zcWfKTIjFn6zmg2XfIiO7sqNTz7iX4puNpnIycnFyd2dMhYYzd6tHGVzr3Kl5PBI0Q2uZWeTfekEm+bMYOVR7awuCetRoIgF7FudTs6rvnTv1odXi7awZkeelTMUU3Tr16Zc28+K9HO88Fp7ylpgZKeWbWiRv5utX10HwK5qJ0ZHz2Z29Ahe9NDtvjFxH9Z/Z9z8ktWfFPDamx1xdetEHx97Plv9OVetmaH4P3wwsBXPPN+GJo37srNNEgmDqlvkxbCrOYCgoc6sHDWSD/6d+/sdhTe4Ufg/+8WEABTYRry+YzWfXK5N/wsb+egjKKzwJDfWr+HTy30YUMkKAcr05IP/uwLF18g8nkFO+To0quX+vztWHpk7neO28EG5cUzvVJcZ1b2p5pBH1vlcKrQcTFBTDe5ptopiTi6fQEj6L5gAg70z7jWa8vLAAN56prLNH2ez8uGLXDYMbsiYU23p+FTJiuANTu/cSdXo42wYWtW2XvDia/x86ieu2FWhjrcn5WQfzT0Usi+oBa9948vyKW1wuJXHz7sXMuP9ssz4bjMBtR7+naGlwxfWfWtc+ZTVX1Ri0MbVxDxXsugivglpyctr0skaHICnLTXR3p2ajZpTU+kcGmLv0YQuPj64AHQqYGtaNGfOFUEt216TsOLb3sTFT9aws+ob9Gn5x/470KJvL+rsXcu6n+VMbL0z5f7CsSNH+O7gTlbMeJ9Tz49gUCvbLiGo7Mya4uJievfuTV5eHuXLl7fo2EooKCjA3t4eBwdZJ71TZGQkTZs2/cMthewLas5LS000q1sBA8XcvJzFtYpdmJaSzIhWD3+CrqyaPiKz2cymTZtwc3Nj7ty5mi9jUlISTz31FD4+PkpHUZXw8HAuXbp0l3sMuHaeyb9W+95eNSWPg+Ed6TIigXZ7w2mqqnerZanyn9alSxf27NnD8uXLlY7yyE6cOEFGRgbbt2/HxcVF6TiqkpSU9ICPdKNp62a4pWWQUYRNF1GVu0YSExPZtGkTn3/+udJRHll0dDQTJ06UEj6GoovfsGTJFxS1fYlnbHwzUZVF9PT0JD4+nhEjRpCXZ+2zbh7f6dOn2bZtG4GBgUpH0RgzuRuG4VWpEpUqVuCJp99ipes4Pl40yLb2pt+Fav95fn5+1KlTh7CwMKWjPLSYmBjGjRuHm5tcAfzgnGgTd5zCghwuX77M5StXuXrxLF+vmER7HZwaqNq1boPBQGpqKi1atKBfv360bt1a6UgPJCMjg82bN3PmzBmlowgNUfVHzVNPPUVYWBh+fn4UFmpjV3RMTAyjRo3S/B5fYV2qLiLApEmTcHBwIC4uTuko95WZmcmGDRsYO3as0lGExqi+iI6OjhiNRmJiYjh+/LjSce4pNjaWgIAAKlasqHQUoTGq3Ub8o1atWjFy5EiGDx/O7t27sbNT3+fHuXPnWLNmDSdPnlQ6itAg9b2j/0JERATnz59n8eLFSke5q7i4OIYNG0blypWVjiI0SBMzIoCLiwupqan07t2b7t274+XlpXSk32RlZfHhhx+qftVZqJdmZkSAzp0706dPHwIDA7nLueqKmTNnDkOHDsXDw0PpKEKjNFVEgPj4eA4ePMjHH3+sdBQALly4wNKlS5k8ebLSUYSGaa6IlSpVYv78+YwZM4bs7Gyl45CQkMDbb79N9erVlY4iNExzRQTo06cPbdu2VXwWys7Oxmg0EhQUpGgOoX2aLKLBYGDBggWsX7+e7du3K5bjvffew9fXV1U7joQ2aWav6Z1q1KhBbGws/v7+fP/997i6WuB3Kx7ClStXSElJ4dChQ1ZdrrBNmpwRS/j7++Pl5cW7775r9WUnJSXxxhtvULt2basvW9gezc6IAHZ2dqSlpdGyZUv69evHM888Y5Xl5uTkkJyczL59+6yyPGH7ND0jAjRo0IDg4GCGDRvGrVu3rLLM5ORkXn/9dby9va2yPGH7NF9EgKCgIMxmM3PmzCn1ZeXm5pKYmEhwcHCpL0voh00U0dHRkSVLljBz5sxSP+k6JSWFzp0706BBg1JdjtAXmygiwLPPPktAQAD+/v6YTKXzRcX5+fkkJCQQEhJSKuML/bKZIgJERUWRmZmJ0WgslfEXL15M+/btady4camML/RL03tN7+Tq6srixYvp27cvXbt2pUaNGhYb+8aNG8THx2v6Kx6FetnUjAjwyiuv0LNnT0aNGmXRKzSMRiOtW7emWbNmFhtTiBI2V0S4fSL2119/zfr16y0yXkFBAXFxcYSGhlpkPCHuZJNFrFy5MomJiYwePZorV6489nhLly6lefPmtGrVygLphPhfNllEgH79+tGqVSumTJnyWOMUFhYSExOjyS86Ftphs0U0GAwsXLiQtWvXsnPnzkceZ/ny5TRs2FAzX3AstMlmiwhQq1YtYmJi8Pf3Jz8//6Gff+vWLWbNmkV4eHgppBPidzZdRIDAwEA8PDyIiIh46OeuWrWKJ598knbt2pVCMiF+Z/NFtLOzw2g0kpyczOHDhx/4eUVFRURHR8tsKKzC5osI8PTTTzN16tSHukJjzZo1VKtWjQ4dOpRyOiF0UkSAadOmcevWLebNm3ffxxYXFxMdHU1YWBgGg8EK6YTe6aaITk5OpKWlERERwenTp+/52HXr1uHu7k6XLl2slE7onW6KCNC2bVv8/Pzw9/f/y9PfTCYTUVFRMhsKq9JVEeH2b9v/+OOPLFmy5K73p6en4+zsjI+Pj5WTCT2zqasvHoSbmxuLFi2if//+dO3a9U9fDGw2m4mKiiIiIuKO2bCYk8snEJL+C3+60tHem35zZ9O3lr214gsbpbsiAvj4+NCtWzfGjBnDP/7xj99u37x5M2azme7du9/xjGKuHNvO9qu+LJ/SBseSm+3cqV9JSigeny6LCDBv3jwaNWrEhg0b6NWrF2azmcjIyHtuG9p7NKGLjw8uVs4qbJ9ui1ilShUSExMZNWoUHTt2ZO/evdy4cYNevXr95XOKMr9k5dK83180u8q07NmN5hV0t6ktLEy3RQQYMGAAK1euZMqUKRw7dozQ0NB7/hpx0aUT7P0q//c9XPa1eeLlbjSvYJW4wobpuogGg4GUlBQaNmxIlSpV8PX1vefjy7QcTrLRV1ZNhcXpfp2qdu3aeHp6UlhYSGFhodJxhE7pvoi7du0CbhcyMjJS4TRCr3RfxMjISEJCQnj//fdJTEzku++++4tHmsndMAyvSpWoVPJf1U7E/VBs1bzCNul6G3HPnj2cPXuWQYMG4ejoyJQpU/Dz82Pfvn04OPzxpXGiTdxxCuMUiypsnK5nxKioKIKDg3F0vH2IPjg4mPz8fN577z2Fkwm90W0R9+/fz/HjxxkyZMhvtzk7O2M0GpkxYwZnz55VMJ3QG90WMSoqiqlTp+Ls7Pyn259//nmGDh16zys0hLA0XRbx0KFDHD58mGHDht31/piYGE6dOsWyZcusnEzolS6LGBUVRVBQEGXKlLnr/eXKlSMlJYVJkyaRlZVl5XRCj3RXxCNHjrBv3z78/f3v+bhu3brx6quvMnbsWCslE3qmuyLOnDmTSZMm4eJy/xPVEhMT2bFjBxs3brRCMqFnuirisWPH2LVrF4GBgQ/0eA8PD+bNm8fIkSO5du1aKacTeqarIkZHRzN+/Hjc3Nwe+DmDBg2iSZMmTJs2rRSTCb3TTRFPnDjBF198wejRox/qeQaDgUWLFvHhhx/y5ZdfllI6oXe6KeKsWbMYO3Ys5cuXf+jn1qlTh8jISPz8/Lh582YppBN6p4sinjlzhi1btjzWHtCxY8fi7u7OzJkzLZhMiNt0UcRZs2YxcuRIKlR49Evp7e3tMRqNJCQkcPToUQumE0IHV19kZGSQnp5+32/3fhDNmjVj4sSJ+Pn5sXfvXuzt5RvchGXY/Iw4e/Zs/P39qVy5skXGCw0NJScnh6SkJIuMJwTY+IyYmZnJ2rVrOXnypMXGLFOmDGlpafj4+PDGG29Qp04di40t9MumZ8S4uDjeeecdPDw8LDruiy++yODBgwkICJArNIRF2GwRz507x8qVK5k8eXKpjB8TE8MPP/zAihUrSmV8oS82W8T4+HgGDRr0p9+2sCR3d3cWLlzIhAkTuHDhQqksQ+iHTRYxKyuLZcuWERQUVKrL6dGjB126dGHcuHGluhxh+2yyiHPnzqV///54eXmV+rKSkpLYunUrmzdvLvVlCdtlc3tNL168iNFovMfXIlpW1apVmTt3LoGBgbRv3/6RTqETwuZmxISEBPr06UPt2rWttsyhQ4fSoEEDgoODrbZMYVtsakbMzs5m0aJFHDp0yKrLNRgMLF68mObNm9O/f3/atWtn1eUL7bOpGTExMZGePXtSt25dqy/b29ubGTNmMHz4cAoKCqy+fKFtNlPEq1evkpycrOjq4fjx43FxcWHWrFmKZRDaZDNFTEpKwsfHh/r16yuWwcHBAaPRSHx8PMeOHVMsh9Aem9hGLDkJe/fu3UpHoUWLFowfPx4/Pz+++uoruUJDPBCbmBEXLFhAp06dePrpp5WOAkBYWBiXL19mwYIFSkcRGqH5GTEvL4+EhAR27NihdJTflC1blrS0NLp160bPnj2teihFaJPmZ8SUlBReeOEFmjVrpnSUP+nQoQMDBgyQKzTEA9F0EfPz85k7dy5hYWFKR7mr2NhYjh49yqpVq5SOIlRO00VMTU3l2WefpWXLlkpHuasKFSqwYMECxo0bx8WLF5WOI1RMs0W8ceMGcXFxqp0NS/Tq1YuXXnqJCRMmKB1FqJhmi7hkyRKaNWvGc889p3SU+5o/fz5btmzhs88+UzqKUClNFrGgoIDY2FjVz4YlqlevTnx8PCNGjCA3N1fpOEKFNFnEZcuWUb9+fU2dXD1s2DC8vb0JDQ1VOopQIc0V8datW8TExGhmNixhMBhITU1lyZIl7N27V+k4QmU0V8QVK1ZQq1YtOnTooHSUh1avXj3Cw8Px8/OjsLBQ6ThCRTRVxKKiIqKjowkPD8dgMCgd55FMnDgRZ2dnZs+erXQUoSKaKuKqVavw8PCgc+fOSkd5ZCVXaMTGxvLDDz8oHUeohGaKWFxcrPnZsETLli0ZPXo0fn5+mEwmpeMIFdBMEdeuXUv58uV57bXXlI5iEe+++y4XLlwgJSVF6ShCBTRRRJPJRFRUFGFhYZqfDUu4uLiQlpbG9OnTyczMVDqOUJgmirhu3TqcnJzo3r270lEsqmPHjvTt25fAwEC5QkPnVF9EW5wN/yg+Pp7Dhw+zZs0apaMIBam+iJs2bcJkMtGrVy+lo5SKihUrkpyczNixY8nOzlY6jlCIqotoNpuJjIwkNDQUOztVR30svXv3pl27dkycOFHpKEIhqn53b9myhfz8fHx9fZWOUqoMBgMLFixg48aNbNu2Tek4iig+/yUpk96i83PNaNKiNR17DGX6op38pJOviFVtEUtmw5CQEF18E5qnpydxcXEEBASQl5endByrKs78iCEvvInx2otMTt3A5nWphPnWJfP9eFb/WKx0PKtQ7ZdHbdu2jcuXL9O/f3+lo1iNn58fq1atIjw8nISEBKXjWEkeW6OmsbVRNN+kDqf2r1PDk97N6fTWda5j+x/CoNIZ0Ww2ExERQUhICA4Oqv2ssDg7OztSU1NZvHgxBw4cUDqOdRQcYMuOXDq83fe3Ev7GyRVXJ0VSWZ0qi/jPf/6T8+fPM3DgQKWjWF39+vUJDQ3VzxUaRec5f+kJanqVVTqJolRZxOjoaKZPn46jo6PSURQxefJk7OzsiIuLUzpK6bN3wbXMdXJz9H3OrSqLePbsWYYMGaJ0DMU4OjpiNBrZtWuX7Z9x49SSZ5vk8uWOg9xUOouCDOa7/KXzbj7YKpFbmUdbgS8+uZwJIen8YjJg5+BM+ar1aNGxN75dm+BZxpEePXpY5We31c5sNtvk2UTr1q3jo48+omPHjoCJ7E3+PDfkW7qtSCe+W02cAK6fYtO8VeS+HcbbdR5th82Dvo/VQJEiFu4LosVr3+C7fArPmXPJOv4l6StWc/CJUbSrn41nmUcaVmjImDFj/vDLXdc5tmwSI8LWcrrMkzxZ8Rbnf7xAudYjSFj2Lq9WebQVNynifRTuC6JF10wifl6Nr8uvN17/llk+nVnW7GO+Te6M6yONLDTNdJ3zp8/w33wnqtWrT41yj3foQktFVM82ouvfGDPudXLSP2KXnjcW9MzOleoNmtPqb40eu4Rao6qDdGW961Lt6n4yc0xQxoqfEaaL7P1gAR/v/w8XcqGCd1t8A96hQw1VvTzChqnqnVZ8OZtrTu5UcLHyRG26wHf7MnBq1InuVYv4cUsSb/Y8x9Z9EbSy6itUzMnlEwhJ/4U/7cx3fYEpSybSVicHt/VIRUXMZc+6L8hpN5X2Lvd/tEU5NCZw8QdQnEfWTz9Rt4IP6X2/5kC2iVZVrfmhUMyVY9vZftWX5VPaUHIU1eDkSV0V/aWE5angz2viZta3bEwMYtI6L4K3DsTT2luuRWf5ePJwpn34Pabqdaj5xE3+U/QERUVWzvEre48mdPHxwdqfR0I5ihXRnLuBYV6VCDCbMDtXpfFLfZm7YypvNXa2epa89DBGra/CnAO/MLiuM1xbSvdaK6yeo4Qp9xeOHTnC7VfCjvK1GlOnonr2qwnLU6SITm3iOF6ontO3Cq7lUFCpBY29nIEizn9zhJ8Vu/rGzI0Dixjtv5rbh/KdeCH0c+Z2lwM6tkwFq6bKq9hrPCPTBvF6063ULVeAuWY1ChU7s8yAa+eZ/Gu1r6ya6ogUEbCr1IWYr04x8sSP5FasR0NPVxUdYBV6IEUsYV+Omo2bK51C6JR88AuhAoqcayqENci5pkKIhyJFFEIFpIhCqIAUUQgVkCIKoQJSRCFUQIoohApIEYVQgcc6xU1LB0yFULP/Bzt1OyGh2G6aAAAAAElFTkSuQmCC)
In the unit Square, find the distance from E to
in terms of a and b, the lengths of DF and AG , respectively.
![](data:image/png;base64,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)
maths-General
maths-
ABCD is a Parallelogram,
and
If DC=16cm, AE = 8 cm and CF = 10 cm, Find AD
![](data:image/png;base64,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)
ABCD is a Parallelogram,
and
If DC=16cm, AE = 8 cm and CF = 10 cm, Find AD
![](data:image/png;base64,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)
maths-General
maths-
Two Rectangles ABCD and DBEF are as shown in the figure. The area of Rectangle DBEF is
![](data:image/png;base64,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)
Two Rectangles ABCD and DBEF are as shown in the figure. The area of Rectangle DBEF is
![](data:image/png;base64,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)
maths-General
Maths-
In the g iven f igure, ABCD is a Cyc lic
and
then ![A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the g iven f igure, ABCD is a Cyc lic
and
then ![A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
Maths-
In the f igure be low
and
If
and
then which of the following is correct ?
![](data:image/png;base64,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)
In the f igure be low
and
If
and
then which of the following is correct ?
![](data:image/png;base64,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)
Maths-General
Maths-
If ABCD is a square, MDC is an Equilateral Triangle,find the value of x .
![](data:image/png;base64,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)
If ABCD is a square, MDC is an Equilateral Triangle,find the value of x .
![](data:image/png;base64,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)
Maths-General
Maths-
If PQRS is a Square and STR is an Equilateral Triangle,find the value of a
![](data:image/png;base64,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)
If PQRS is a Square and STR is an Equilateral Triangle,find the value of a
![](data:image/png;base64,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)
Maths-General
Maths-
In a Trapezium ABCD, as shown,
and
then length of AB is
![](data:image/png;base64,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)
In a Trapezium ABCD, as shown,
and
then length of AB is
![](data:image/png;base64,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)
Maths-General
Maths-
In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.
![](data:image/png;base64,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)
In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.
![](data:image/png;base64,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)
Maths-General
physics-
In a regular hexagon ABCDEF,
and
then find ![stack F A with rightwards arrow on top](data:image/png;base64,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)
![](data:image/png;base64,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)
In a regular hexagon ABCDEF,
and
then find ![stack F A with rightwards arrow on top](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM4AAAB9CAYAAADqQVwfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABTJSURBVHhe7Z13XJbV+8fp60rFkSvFVc6GlaPEXWJaWjh/fgNKKU0wt6akucjEAaQgICvn1z2AVCipRBEBB5KCoKYoCsoQBRGBh/H5cR3OY4CQojxwj/N+vc5L7+s5/uF97s99n3ENPQgEgnIjhCMQPANCOIKnJuHGVYSFhSPqQgSCg4IQHHISUZeuIiuPd1ARQjiCpybuygVMGzsAteu1wPc29nB1WYdZFuPQp3dv2G7w5r3UgRCOoFz4/DQFtZp3xQN+Tfy2ZSX09PQw28GLW5SPsoWTn42TR/2w8scfYLPSFi4uLqytc/gJ1isdcDs9n3cUPC377KagbqvuSNRwA2fFRCPo1TRAdFIWtygbhX9x8pF2NwnD3mwIg/fG4urVq6xduhCOeVMt4P9XAu8neFrKEs4Ffzf21XE5dJZblI0qpmozR3RDt+Gz+FUhmvt3cPvOfX4leFrKEs6NsH1MONbbA7hF2ahCOFM/eRs9Rs7hV0D67RiEX4zlV4LyUJZwzvs6M+FsOnKRW5SNKoQzZ4whmnXqA1d3D7g6O8LYqB8c94XwX5+P+/fvIz9fPWul/fZTmXCSSghn/tj3UL1pV8Q/UMfetCqEM2NEd3Tqb4ro6IuIioqEp701Nh54NuHExMTgwIEDWLx4Mfr37w8HBwd1CWe1Bao1fQup/Bq5D7HN/ltUr6YPD98wblQ+qhDOtIKpWvcRs/lVAdnpiE+8y/76b4/8vXv3EBwcjPXr18Pc3BzdunVDnTp12JSEWtu2bZGVpY5dJCIm6iy++e8gNG/VEQtt7ODi5AirmZYYNeZzHAqO4r3UgTq+OMO7FQin+OZAwasSRwMC2al3bm4uMjMzcfHiRezbtw/z5s3D4MGD0bx580ciKa1NmjQJ/v7+8PX1VXQ7ePAgjh8/jjzNQyQkpyAt9R5uxF7H9evXkZBU+AJSGwoXTj6yM+9jZNfGaPz2cNyIi8etW7cQG3MZaxZNh42HD+t1+PBhfPzxx6hRo0apAhGtsLm6ubH7JVC6cPKyEPyHT8F0Ygosp83GT2sdsW7dOtivXo6JljMRdSuDdUtPT0eXLl2YcDw8PDB//nwMGjQIzZo1K/UB0rZZs2axqVxgYKDi244dO9j/ecaMGapa05WFKqZqT2L69OnsodiyZQu3FHL37l320Dg7O2PcuHFsjVO7du1HwmnTpg2b4qmFvn37sv/3yJEj2fpPzaheOLt372YPw8SJE7mlbPLy8nDt2jV4e3tj0aJF6NOnDxwdHVXzBnZ3d3/00ujatSuio6P5L+pD1cK5cuUK2yV788038fDhQ24tH2lpaaoRTkJCAho2bPhIPLR5QpsjakS1wqGdNENDQ/znP/9BREQEtwqehKmp6SPhUKtVqxZbF6oN1Qpn9uzZbOB//vlnbhE8DbQ9XVQ42mZlZcV7qANVCsfLy4sN9vjx47lF8LTQlLZdu3aPCYfamDFjVLNpoDrh0OJeX18fnTt3xoMHRcOxBE8LHRCXJhxqHTt2xNmzyg8tUJVwaF1DO2E0wGoYXF0RFhbG1oZFBfPuu++ybXt7e3scO3aM91QuqhLO3Llz2SC7urpyi+BZoF3EXr16sXtJLyIjIyM0atQIN2/e5D2Uj2qE4+PjwwbazMyMWwTPg52dHfvqXL58GYmJiexgmLb11XIgrArh3LhxA/Xr12eLWoqfETw/UVFRxbaht2/fzl5MU6dO5RZlo3jh0Gn/gAED2KCePn2aWwW64Msvv2T3mb7uSkfxwlmwYAEbTFq4CnQLfc3bt2+Pl156CXFxcdyqTBQtHD8/PyaasWPHcotA14SEhLB7TvFMSkaxwqE3Hu30UJSm2j15KxsbGxsmHtpAUCqKFA5tlw4cOJANHr0BBZUL3X/aoqb7f+rUKW5VFooUDiXSoEFbu3YttwgqG+1OZqdOnVigoNJQnHAoDJpEQ8FWgqqF8jfQWDxNrJPcUJRwKJ9AkyZN0Lp1a6SkpHCroCqxtLRk4qGAQSWhKOEMGTKEDVJQUBC3CKqajIwM5lBbr149xMYqJ3uqYoTz448/MtHY2tpyi0AqkFMojQ1t2CglWlYRwjly5AgbGGNjY24RSI01a9awMaIXnBKQvXDIwfDll19GixYtkJyczK0CKUK560g8J06c4Bb5InvhDBs2jA1GQIA6ykvIGdq8IXecV155RfbOtrIWjvaEevny5dwikDqUsJ7GjPLUyRnZCufo0aNsAIYOHcotArlA2UBp7LZu3cot8kOWwqG1jIGBAUtRS2scgbygCg9vv/02C377+++/uVVeyFI4tHtGb6w//viDWwRy4/z58yyCtHfv3iwXhNyQnXDonIZEs2zZMm4RyBWqO0RjSb6FckNWwiGPALrRSo/1UBPkU0hjSmtWOSEb4VDlAKoO0LhxY8THx3OrQO4kJSWxc7hWrVqxMZYLshHO6NGj2Zvp119/5RaBUqAxpbH97LPPuEX6yEI4WncNKq0hUCaUe5rG2NPTk1ukjeSEQ59rSlOrJTQ0lN1QylSjlnIaaiQnJ4dlA61evbos6u5ITjgbN25ke/wE5XYm9wxy01BTlki1QoIh4ZCASEhSRnLC+fTTT9kXhrYoJ0yYwP6u1uJFaoSmajTmlNhdykhKOHSK/OKLL7Ibp22U5C47O5t9fUR1AXVAmwQ09hQGL1UkJRxtMFrRRtO0Bg0a4NVXX2X19gXKh9a5FP5O29RSDRWRjHDoq/Laa689Jhxq9BXasGEDS2crUAdaJ16pJl3RiXD+PhcK57V2WG1rD1c3d1at2GmtPX6wdUFyRukPvzY7TclGGfDPnDnDewnUxMKFC9kzQK45UkMnwsm4fw8/ThwEvZqtEBRxmZWCOBsSAJNRo/HnhQTeqzgli7JSo7eNiOpUL9pCYOQMSk6hUkJnUzXvNdNRp1U3FE0+m5FyG7fupPKrf6DIQEpeV1Q0lCxdIKCS+hR+QEcUFI5QFrkZdxFyPAC/Hf4d56JjQCd+6TqMMtWZcPasmoy6rXsgg19f/OsUbqdp+FVxHB0dHwmG0ght27aN/yIQgAW80bNBAXClcdzbE8bDR2HFT87w9T2Enz1cYDZ8CGav3MR7VDw6E87+NTNRvW4z2Kxxgp3NIrw/aDiiUx4XDnkD9OjRg92Y119/HSdPnuS/CAT/QKHW9IxQ6HVRwn3dUF+/CbxCr3JLIf6bVmLczOXQ1XaSzoSz124aXmzaEb+HhuFU6DEssFqAqITHz2ECAwPZDaGkGyKaU1AWaWlprKIeZWp9VPhYk4J+bWqj3/jSYrMyEXwiBJk68tLS3VRt9eSCNU53aGeZ95Jv42568fqQtL1MeYXnzJkjtpoFT+TcuXPsJWtiYsquE8IPsWvrzZUfy6O7qZr9VNQtEM6df3E5orcIeT7LwalPUPV4eXmhRo0aOHy40AUr4vAmJhwH73B2XZnoRDi5ORo4zKS8AE1xISkDef/i1WxiYoKaNWtKbrtRIC3WrVvHREJOvxpN4Vo56XxhHM9898r3ZdSJcC6Gn4D1/Fn48suv4brNB8np2fyXx7l06RKL6qTKaRQNKBCURFvHlVqxnbXc+zDu0hht+n7BDcW5fOkisnTkZK2zqVp50NaN7N+/v+TdyQWVB31ZtJWsta1kZqPrZ/zQUr8WTGasxI3EVOTm5iA1OR4+OzfD+/dQ5Opo6SwJ4RA7d+5kN8bc3JxbBGqG6rZ+8sknxURDOSeobEhJ4i4Ew8L0/zBijClmfTsPy1fa4tejp9khqK6QjHAISmVLN0gpGe0FzwbV0enZs2cx0VCbNGkS71E6mswMtuFUGVnaJCUc4quvvmI3aceOHdwiUBNUS4fOa0qKhtqhQ4d4r6pHcsKheS3lF6AbJSpGqwtvb2/o6+s/JhhqVMYlNfVxP8eqQnLCIciDgHbZmjZtqqjyd4KyOX36NIvHatSoERv3ksKRWnUDSQqHoHMdOuzq1q1bqQtCgbKgsHhan5AH9Pfff8/EQu41WuHs3buX95QGkhUOQXNaummjRo3iFoHSobwTFEZAaY4vXLjAQudr1aoluSrikhYOoT0xlnrWE8HzQ/6KVL2AUkTRwTixfft2SWb4lLxwiOnTpzPxUAi2QLloK1E4ODhwSyFS2hTQIgvhUMyONt+alFMGCZ6dyMhIvPDCC3j//fe5RdrIQjgELRwpcUedOnWEN7XCoClar169mLMv5aeQA7IRDkHx5w0bNkTHjh0lt1gUPDurVq1iswlaz8oFWQmHOHbsGLvJH374oQh+UwA0RaPx/OCDD7hFHshOOMTmzZvZzbawsOAWgRyh9E+GhoZsikazCTkhS+EQlJSdxEM7MQJ5op2iubi4cIt8kK1wCG0Sw/3793OLQC5ERESwXbSBAwdyi7yQtXAyMzPZbgxleiRfJ4E8oLUphQ3QFI08BeSIrIVDUBbQli1bMu/ZuLg4bhVImRUrVsh2iqZF9sIhKIaD3DRooUlfIYF00aZ4MjIy4hZ5ogjhEBTLQQNC6x6BNNHW+SSnTbntopVEMcIh7OzsmHhox00gPbSh8U8s25GbhXNnQhB4PAjBwcE4cTwAmzzc4O65ATt27YHTqsUYY2KO0Eu3+D+ofBQlHMLS0pINzqZNuku4LSg/f/31FxsXOrh+EvmaDBzzPwQvbx8cOHAQv/h4wdPVBVu270HgiRB4bXPHrLmLEBl7h/+LykdxwqEdGxocGiTyMhBUPXTQSVM0qqwXExPDrfJGccIhqIZkp06dWM0duW53KgntFM3NzY1bykfc1WgEHDmC8EjpOIAqUjgEeVBT4oc33nijWDwHfZHoDSioHLRTNIroLC+ae9dhZfkFLGZYwWmdE5ZYTcWI/5rj5OWqz/iqWOEQlPWRBm3o0KEspoegeHYp1pRUIrSL1r1792eaouVlJML43XYwnrwCRRMo71g1BfWbv4Gw2DRuqRoULRzC09OTiee7777DtWvXUK1aNfYVEp7VumfZsmXPPEXbvcoCetUNcOWxkkoZ6GVQDYami/h11aB44RDaAezQoQP7k1rJyl6CiiU8PJzd5yFDhnBLecjCqO7NYNDTpNSKatbm/aFXpzNiM3SZ5PbfUaxwKNDN2dmZnenQoSh9abSioSa3+A85QUklaYpG0br0lS83eSno06YGOn88hRuKs95qbMEYvoTTcVWXoF+xwqE8XVZWVsXEUrIdPVr5lbzUgLW1Nbu/Hh4e3FJeMjHinSZoUcYXx27KxwVfnA64/kB8cXQGneVQroKSoqE2YsQI3ktQUZDfIN3bjz76iFuejc1LPi9Y47TAlXRuKILxW43w7tiqLeevijUOnetok7kXbTR9o7m4oGKgKdo777zDpmjPm7pYcy8WfTs0xsgZa7ilkID/2aCJwes4ef0ut1QNqhCOFnLDodzERcVDhYsEFYN2ikY7mRVBanwkJpmOwoQp32LTtp2wtSlYr35ujiPnbvIeVYeqhENERUWx3F1a4dAZg9w9dSsCOnOhhI8HDx58pq+FdopGZ2YVzdH97mhTn8arJoJipRE2ojrhEPSQaBN7U5s1axb/Rd1QQS+6H5SCi2KbqN7m1q1b2cuGkqGXBU3RunbtWiFTtLJIi4/CHHNjGBqNxp8nI5CVU7XncKoUjhY/Pz9WHo9i30WetkJ69Ojx6IWibdpDY9rWd3JyQlBQUDE3pqVLl7J+FTVF+zcuhQezomO/B55GRhWWi1W1cIj4+HgYGxuzZN8TJ05UdaN0W1RWpaRwSmtURYAKgH3xxRfsWm3nYqoXDkFfGypmVLduXVU38ian6MySIimtNWjQgImMCj6ZmZmxrDVqQgiHQ/N0tTfatm/fvv1jIiEvc4qnoS19V1dXNlWjvmpGCEfwiCVLljChdO7cmR0OUzYaX19f3Lx585F3uaAQIRwBg3YaSSR0ICwyBT0ZIRyB4BlQtXAS4uOQKYJBK5SYqLPYs2sHdu/ejV2797Cit96/+CE+5SHvoQzUKxxNIob26wnv0yL7Z0WSknAT347tDb2aBvjlWAhCQgJhv3g62rV/C//7/RzvJX9UK5wI/5/ZQnjMXGdukQaJiYmQ+zLcy34K6rbpiaLBm4tNe6NG6964o+EGmaNO4eQ/gM3CeZjzjRlefKkDrqRW/nzt3u0r2LllE5YvXYDJ33yDKVOnYpqFOTq82g7fO+2FnGeQu1ZaoF7bnigaEeA88xPo6XdCvEL2HVQpnMvH92Cm9XpoMm6hZU09zHHx479UHlkZqbgcHYXIyAiWT5la+JlQeHkfwPUEebv/7LGdglpNOuG3kLMICzuNrS426PxKa6ze6s97yB8VCicftvOn4ZdTha7pqyYNQoOORkgXxxQVxl77aahezwB2rhvgsd4RZsYD0KhZB2z0CeI95I/qhJNxMwyDB/TD8jVOcHRch8UzPmdrnc0BlZvsTvMwFX8e2g83dw+4uboW/OmO7XsOIPmB/Lf5dq2YVDBVM0TRfTT3heMK7nNN7A8RmTxlyfa1i2C32Q/JSYm4fTsBd+7cwpj3WqLLsGm8R+WQn6dBbEQAmr2gh34m3+IPf198PbwPWr3RF6FXqj7h3vOwZ/Vk6Ld5DylFvuIJZ33YC2rJlkBukTeqEk5a7BmMGmWK+KIZ7go4trmwnui+0Mp+G6aid5v6mGzvVXiZdQNta+nB0GRh4bVM8fxuLPT02yMm9SE0mmyk3IqB5addUad5F0TeKiWJgAxRjXByHqTA2Xoaho0yg//J89xaMGV6cAfbHJeif78+MLOci8iY2/yXSiAnCYYFwvl6xU5uyMfg9jXRss94fi0/osKCMHPCZxjwwWBYLf4B9narMWeaBSZMnomwy5V4b3WMaoSTn5+HXB40mJ39z2EC2XPytHOKgr9rO1UGBcLp1bY+xi3dDE1ODkK8ndiXb6Hnb7yD/Mgp+MJoycvNYfdaifsuqlvjSIrcJAzo0Ah9R0/GRk83TBpvCrsNXrI+w1ELQjhVCZ+qTVq5C3l5Qi5yQginKslNLpiqNWDCEcgLIZyqJDMO7WrrYeQ8d24QyAUhnCoi+8FdHNy2HkONPoDJ17MRFBbNfxHIASGcKoJ28zSaf9Y1mhyxxpETQjgCQbkB/h9ID3HzXgo83QAAAABJRU5ErkJggg==)
physics-General
physics-
The resultant of the three vectors and
has magnitude ( R= Radius of the circle)
![](data:image/png;base64,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)
The resultant of the three vectors and
has magnitude ( R= Radius of the circle)
![](data:image/png;base64,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)
physics-General
physics-
A man of 80 kg is supported by two cables as shown the tension ratio of
is
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)
A man of 80 kg is supported by two cables as shown the tension ratio of
is
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)
physics-General
physics-
If ' O ' is in equilibrium then the values of the Tension
and
are x, y, if 20 N is vertically down. Then x, y are
![](data:image/png;base64,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)
If ' O ' is in equilibrium then the values of the Tension
and
are x, y, if 20 N is vertically down. Then x, y are
![](data:image/png;base64,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)
physics-General
physics-
In the arrangement as shown below the strings P, Q are being pulled downward with a speed ' V ' each. If the pulleys are fixed, the mass M moves upward with a velocity of
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)
In the arrangement as shown below the strings P, Q are being pulled downward with a speed ' V ' each. If the pulleys are fixed, the mass M moves upward with a velocity of
![](data:image/png;base64,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)
physics-General