Maths-
General
Easy
Question
Line
makes angle
with
If these lines and the line
are concurrent, then
- 2
The correct answer is: ![a to the power of 2 end exponent plus b to the power of 2 end exponent equals 2](data:image/png;base64,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)
We should find some relation between a and b using given conditions
Lines xcosα+ysinα=p andxsinα−ycosα=0 are mutually perpendicular. Thus ax+by+p=0will be equally inclined to these lines and would be the angle bisector of these lines. Now equations of angle bisectors is
xsinα−ycosα=±(xcosα+ysinα−p)
x(cosα−sinα)+y(cosα+sinα)=p
or
x(sinα+cosα)−y(cosα−sinα)=p
Comparing these lines withax+by+p=0, we get
cosα−sinαa=sinα+cosαb=−1
a2+b2=2
or
cosα+sinαa=−sinα+cosαb=−1
a2+b2=2
Hence option 2 is correct
Related Questions to study
chemistry-
In the given transformation, which of the following is the most appropriate reagent?
![](data:image/png;base64,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)
In the given transformation, which of the following is the most appropriate reagent?
![](data:image/png;base64,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)
chemistry-General
physics-
Two identical square rods of metal are welded end to end as shown in figure (i), 20 calories of heat flows through it in 4 minutes. If the rods are welded as shown in figure (ii), the same amount of heat will flow through the rods in
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)
Two identical square rods of metal are welded end to end as shown in figure (i), 20 calories of heat flows through it in 4 minutes. If the rods are welded as shown in figure (ii), the same amount of heat will flow through the rods in
![](data:image/png;base64,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)
physics-General
chemistry-
The decreasing order of boiling points of 1 , 2 , 3, alcohol is:
The decreasing order of boiling points of 1 , 2 , 3, alcohol is:
chemistry-General
maths-
In ΔABC, if
then ![a plus square root of 2 c equals](data:image/png;base64,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)
In ΔABC, if
then ![a plus square root of 2 c equals](data:image/png;base64,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)
maths-General
chemistry-
Consider the following reaction, ![](data:image/png;base64,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)
![p r o d u c t space X space i s](data:image/png;base64,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)
Consider the following reaction, ![](data:image/png;base64,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)
![p r o d u c t space X space i s](data:image/png;base64,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)
chemistry-General
physics-
A liquid cools down from
to
in 5 minutes. The time taken to cool it from
to
will be
A liquid cools down from
to
in 5 minutes. The time taken to cool it from
to
will be
physics-General
Maths-
If one of the lines in the pair of stright lines given by
bisects the angle between the coordinate axes, then k![element of](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAMCAYAAABr5z2BAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAGNJREFUeNpjYMANNIB4AhCfA+JvQPwLiP8zEAmCgPgKEGcAsTEQszGQAGShtnIxkAkmAXEAAwXgKRAzUWIALLBwYdq7YAKlYQCKhTNAzEOJIeFI6cAAiFnIMQQ9Jf4hJSUSDQC2pRnou82QIwAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIwODs8L21vPjwvbWF0aD4h58XOAAAAAElFTkSuQmCC)
If one of the lines in the pair of stright lines given by
bisects the angle between the coordinate axes, then k![element of](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAMCAYAAABr5z2BAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAGNJREFUeNpjYMANNIB4AhCfA+JvQPwLiP8zEAmCgPgKEGcAsTEQszGQAGShtnIxkAkmAXEAAwXgKRAzUWIALLBwYdq7YAKlYQCKhTNAzEOJIeFI6cAAiFnIMQQ9Jf4hJSUSDQC2pRnou82QIwAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIwODs8L21vPjwvbWF0aD4h58XOAAAAAElFTkSuQmCC)
Maths-General
chemistry-
Order of reactivity of halogen acids towards an alcohol is
Order of reactivity of halogen acids towards an alcohol is
chemistry-General
chemistry-
Which of the following is an example of elimination reaction?
Which of the following is an example of elimination reaction?
chemistry-General
physics-
A body cools in a surrounding which is at a constant temperature of
. Assume that of obeys Newton’s law of cooling. Its temperature
is plotted against time
. Tangents are drawn to the curve at the points
and
. These tangents meet the time axis at angles of
and
, as shown
![](data:image/png;base64,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)
A body cools in a surrounding which is at a constant temperature of
. Assume that of obeys Newton’s law of cooling. Its temperature
is plotted against time
. Tangents are drawn to the curve at the points
and
. These tangents meet the time axis at angles of
and
, as shown
![](data:image/png;base64,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)
physics-General
chemistry-
The most unlikely representation of resonance structures of
nitrophenoxide ion is
The most unlikely representation of resonance structures of
nitrophenoxide ion is
chemistry-General
chemistry-
is stronger acid than
because:
is stronger acid than
because:
chemistry-General
Maths-
In the figure, area
and
Find area of ![parallel to to the power of m end exponent A B C F](data:image/png;base64,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)
![](data:image/png;base64,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)
In the figure, area
and
Find area of ![parallel to to the power of m end exponent A B C F](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
Maths-
In the given figure, area (parallelogram ABCD) = 48
and
Find area of ![text IIgm end text text ABEF end text](data:image/png;base64,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)
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)
Hence option C is correct
In the given figure, area (parallelogram ABCD) = 48
and
Find area of ![text IIgm end text text ABEF end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE0AAAAPCAYAAAChmULXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAcFJREFUeNpjYECA/wyYAJvYQINKAvL/ofgxEN8A4nVALI1DDTZMSA3BABpsgWYAdZMGgUBDBpFAfJIMfxHl96EQaIuBeC4UE+sPJiD+NdCBZgnEZ4D4BxDfBeJELOpgfC8ktWuAmAcq7giNfZD4USBWI8J9stDsBgLXoHxi/AFSd24gA00DGlC2UL4SEC/FEWhpQLwfiLWgYvFAPAkakMjisdCAJQR6gDgLygbRXQT8AUphbkB8EIiNBzLQ5kMDg5C6/9CUxYQmDkpZM7GI/yHgNh5oZLFB+SxAfB8p5eIq5F8CsQ4BNbgKeYKVALGB9hqIBYkMNA4c6jjIiFVQjVmLJgbil+MxCxTALkC8BYj1BjKl/SdS738SHYLPgSzQVIYeWSD+LSypFluRsn8gA+0bFkfSOtAyCLSrkokw68dABtoOaO2JHuO0DLQr0AoHG5CHyhNqcnwZyEAD1XyHgVgc6hgPpKYDLQLNC1qh4APLoeqwmQUK1GogXjjQ7TRQdngKbTCCAswUiD/RKNAOQs3HB4yhEYmt1vsBbRALktmNohkApbq9DKMAL9iEFPuSUH7iaLDgB6FAfAmpG1Uw0gIAAB8JxYRfIuvQAAAAa3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGV4dD5JSWdtPC9tdGV4dD48bXRleHQ+JiN4QTA7QUJFRjwvbXRleHQ+PC9tYXRoPs5Rz5IAAAAASUVORK5CYII=)
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)
Maths-General
Hence option C is correct
maths-
In the given figure
ABC is right angled at B in which BC = 15 cm, and CA = 17 cm Find the area of acute-angled triangle
DBC, it being given that ![A D parallel to B C](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure
ABC is right angled at B in which BC = 15 cm, and CA = 17 cm Find the area of acute-angled triangle
DBC, it being given that ![A D parallel to B C](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM0AAAC6CAYAAAANm8kQAAAgAElEQVR4nO2dZXgUVxuG77UoCfEEdwhOcSe4u3txt+JQKMWlOMW1uFPcJVBKcYfi7k1INrYye74fISF8QEtgJTL31R8lMzvvM7Pz7HvOmfecUQghBDIyMl+M0tYCZGQSG7JpZGTiiWwaGZl4IptGRiaeyKaRkYknsmlkZOKJbBoZmXgim0ZGJp7IppFJOCSSx+xqWwuQkYlFEcnt/Zs49TACyd4RjUlHlM6IJACTQLimxDVVFnL75ydPGkeURPtMYWWZsmlkEhAG3vx9jgsnT7P34CWCPfJTOE8GfJxVmEwR6OxCefpCg5dfMao3a0KVkrlIn8IGMoWZCb65V+w/dV9oJcnch5ZJ6phi/uekGF02myjbZ4u4HhZne9QpcWhuN1E3t5tIm6+M6Lvykgg1feI4Fsa8fZqop2wdWpdGHeZwJtiAZNaDyyR5YttZrnip7bDThaMNiXMX2RejQrcZTF86hAqa8+yeO4Vlf1lfpvlMI0zor89j0WlffJ4c4uDVcPSya2S+CgnTZ4rvBXZkKtqSjm0b4XDzCkd37uS1ldWZzTRChHJx83GialSmiNtDjuy/RpjsGhkzE52M0pIuey6Ket7h2c3zXAixrgYzmcaIKWwfcxd7MGTsBBqUduPJwX1cD9PLTTQZi+CS0gPPNOFow5/y8qV1Y5vHNEYd2t17OB7QhJI+3pSrUxSXhwc4fCOcSNk1MhZAkowY9aBU2qHRWDe2GUxjQh91gyWLj9Kmb3PSAt7l61LY5QGHD90kLNL07SFkZD5Axz+vnvH4sQ+enlnJkMa60b/dNCYduttHOaAeTMtCkURGRqJ3L0bFfA48OniQW+ERyLaRMSuR17lx7jxn9f5kLlSCQnbWDf/NDzcNkeEcmjeW61edqJJlzPsNChPG0L0E3upOAe8UuMoFOzLxQPC5qprHHJ47l1njd+HZdBC16hXFyp751kyjQxd1khN7O7L8yTPuPHjM7QePuf3wGff+nEiA10MOHrmFNkzONTLxQPuQB7ooIpRKlMqYWzQM3dPVzOnQlB4/HkBXbQJD+46gQQbry1MI8Q2r0RhCeHtgFIUP1uLOtIr/t/Epq5uVZdSBMow8O43GmTxw+DatMkmef9jWtTrj99/lSRgolGrs1CqUSgUYjRhTe+KSuSHta7SlfZ2spPSwft0ZfItphJHIi3v4udkKFMs2MaHkx7sEr2tOpSGHcOk8kyn9GlPEUS51k/k3BIZwLZFGEwIFIGL+i0apQKmyx97OHnuNLewSzVeaJpKgBxsZXrAPW4wCx1TpKTl8N2vapI3d4+Xa1tQbtY87L8JR2NmhyN6DJUv7UiOHlzwfQSZR85WmEUiGMP55/IZItRKFAI17GlK5vs8kkvY5z4L1CBQohIRR6YqPrxvOdiozypeRsT4fmEYIgUJhu7QHYDKZ4nT+oomvrk/t/6njmoNvvWaf/LwQ8Jlj2vrc4hNLmEwo4vFdWuLcPhfvS2N9ar+PMs3ihQtYv2Y1Ts7OREZE0KR5c4oULUa/3j1xcXHFaDTg75+TkaPH0qheHZycnACBRmPHpm3bAWjSoB5RUVHooqJYtX4D3t4+9Ovdk79v3kSj0aDVhjJ1+iwuXDjP2tWrcHJyIiIinMZNm9O5azdOHA9k5PChODg4kDtPXqZMm8HzZ89o27I5Do6OODk5sW7TFoQQNKxbG0mKLjuIjIxk1boN+Pj48EOfXty8cYOoqEjGT5pC8RIlmTdnNls2b8TJyZmIiHDafN+eHP7+DBnYHxcXVwwGPfkLfMeAwUNp2rA+zs7OCCFwdHJk/aatceIZ0el0rN24BXd3d3p268L9e/dQq9VotaHM+nU+J44fY8umjTg6OhEeHkbnrt1JlTo1P/04HBcXF/R6Hd8VLMT4SVN49OghHdq0xtHJERdXV1av24gkGWlQp3bs96LTRbFmw2Y8PDzo1b0r9+7eJTIykl+mzaBg4cLMmPYLu3fuiI3XqUs30qRNy8jhw97F01OkaDF69O5NyyaNcU6RAiFMuLi4snr9RiRJomHd2ggh0Ov1bNiyDRcXF7p2bM+TJ4+JjIhk5q9zyZM3H5MnjOfQwf04ODgSHhZGr779SJEiBePHjiZFChd0Oh3FS5Rg1Jhx3L17hy4d2uHo6ISHpycrVq1Bp9PRqF4dlEolkmRk49btODo6AtC1UweePH5EZEQkM+bMJW++fEyZOIGD+/fh4OhImFbLoKHDSOnmxrBBA3FxdUWn01GmbFnatutA21bNSZHCBZPJhIeHBytWr0Wv19Owbm2USiVGo5FNW3/H0cmJDm1b8+rVSyIiIpi7YDE5/P0ZO3oUJ44dw2Aw0G/gIGrVrvOR4T7qmf998wYHjx3HQQVREuQrUIDMWbJy5PhJHFSglyA4OBiDXs/Bo4E4qKJ/GB0cokfLWzZrwh8njmMymQgPD0ev0wPw58k/OH3uIvbvjvvmzRv+vnkz9hhREuTNlx+Aly9ecOT4SRRAWFgYABERERw4Goi9Alxc3888OrB/L0aDBIroY0RFRsbG++vsBQTw6l1x0vXr1zh49P25lShZCg8Pj9hz00mg0+nQRUVx6N01ECZI4eL8UbwoU/S+ACdPHOfy1Rto3h03ODiIG9euceDI+3OrVLkqSqWCI8f/iP2b0WiEd+d48Nhx7ABPL/d3v3qC/fv2xk5NjJJAHyfexSvXMQFv3kTX+F69cvmDeBUrVUGtVn8QT6lUEhkRyaHAEziowGQCDw+32F/U/fv2IEwQZQKDwQDA8cBj3Lp9DyMQFBQEwKVLF9h/+FjscevUq4+buzuHA9/H0miiby1taCiHjp1AA6RO7Rt9bpLEvr37UanAIIH07joAnAg8xs1bd5GAoKB/ALh44TxHjx7D09Mdg8HA2NGjkCSJ02fOx17zFClS0KhJs1gNkgSpUvkAIEkS+/fuR/kuXsx1P3bsKA8fPsEIhIS8jY51/hz7Dh8FoGGThx8ZBj6RaW79/Tf3791FrVZjNBrJlDkzXt7enD51Co1Gg8lkIqWbGwW+K8iRQwdRq9UIQKVUElChIml9PdFo7HgbHIxKpeLRi9c4Ozvz16k/CQ0JQalUYjAYKFKsGEH//MO9u+9jZcyUmRz+/rx8+ZIL586iUqlwc3enSNFiREREcPzYUVRqNWq1moDyFQA4fPAAJhE91mKUJMoFBODg4Mjpv04R8vYtkiRRqHARvH18uHnjOg8fPIiNlzVbNlxTunHuzOnYc3P38CRvvnwcOXwIzbtzU6tUBFSo+EE8kyQRUL4Cdvb2nDp5Em2YFqVCgcFgoFiJkrx88YKHDx+gVqkwGI3k8PfHydGJC+fPodFokEwmPD09KVS4COFhYZw4HohKpUZjp6FcQHmEEBw+eCD2e5EkiXLlK2Bvb8+pP0+iDdUiSUaKFC2Gp5cX165e5cnjx6jV7+Ll8MfJ2YkL597H8/byxj9XLo4dPRJ7bhrNx/Ekk4nyFSqi0Wg4+ccJwsPDkYxGipUoibu7O1cuX+LZs2ex55YrV27UGjWXL16MjiVJePv48F3BQmi1ofxx4gRqlQp7ewfKlCuHJEkcOXQQhUKBSQgqVKyEShXd1/0wXgnc3T14/foVA/r1Zd+eXQiTIDRUS7MWLejSvQfhYWFIkoSvnx9Zs2Xn+LGjaDQahBDY2dtTtlwAJpOJwwcPxMYrX6EiarWaE8cDiYqMxGg0UqJUaVKmTMmlixd4+eIFJpOJ3Hnzki5d+n83zbe2z00mE9kypkOn0zFn/kK6d+5ImbLlWLF6LQ4OX/aU5lMazNGnsVR/zSJ9mnjub81zi08sc5wbwO9btzB5wjjOnjlP1x7diIqKwsfHhzHjJ37xsT8R7KN+45ee7wfNM3NdeJMkUa9+A5wcHWnWqAFtWjTD18+P0WPH4+7h8a8X81N/j68ucxzjW2JZ8vO2Prf4xPrac4u5P5YtWcztW7c4dHA/Z85fok2r5oyfOJnFCxfw6NGnm07xCPZFej/1N8s8bVQoCA0NoUq16ixYsozgoCBGDBvC61evmLdw8X8aRyb5EnNfbFi3hmlTJnHj7zuYgDatmjNu4mScU6RAq9XaVKMFH9FHG6Jx02YApEqThk7t2tKzWxdmzpmLl7c3kDCGuWVsT8x9oFAo2LxxA6NG/MjtO/fp2rUzWbJkpV7DhqRJE/3w3Nb3i1XqWoQQ1K5Tl3mLltC9c0f69e5J0WLFqVOvPhkyZpSNI4NCoWDNqpXo9XomTxjH3Tv3adGyOT/9PAZvn+hRsIRyn1jFNAqFAiEE9Rs0JCI8nPPnzjJl4nhO/nGCaTNnkyp1aiDhXBQZ67Pj920MGzyQJ89eYqdW0LhpY6bPmo2Hh+cHWSghYLUKyhjjtGzdhpat21C2XAA9u3WhX++eNGnWnLz58pMte3bZOMmQfXt2061zR0JDQ/n++zao1WomTJqSYPu+Vi07jjs6Urd+AwwGA1s2baR/3z4U+K4A8xYuwS9VqgR5oWQsw5FDh2jbqgV6vY6q1arz6/yF2Nvbx27/ZAkMAs27hQFsca/YpOA4Jus0atKUNRs2MW/RYs6dPUuXju14/frVB+aSSZocDzzGH8ePU7dmNSRJokzZANZv3vqBYT6HAvj75k1ePH9umx/Xb1id8yMkSRKZ06UWqbzcRUhIyBd9xmSKXlf0wP59Iq2vl6hVrYq4euWyuHf3jjmlySQgTgQGChcHjXBSK0TdWtVFzaqV4/X5LZs3ijQ+nqJ7l04WUvjv2HxWWEzWqVS5CstWrmb4kEHUrl6VTJkzs2X7LlKmTGlriTJm5NSfJ6laqTxubm7kyZuXbTt2x+vzQgjqN2jE61evOH/2rIVU/jsJYj5YXOP8de4i6zZt4cb169SrVZ3goCCeP3tma4ky34DJZOLhgwecP3eWiuVK4+HhQQ5/f/YePBLvY8U0xyIjIm3W700QpoG4HT5B0WLF2bXvIPfu3iWtrxf1a9eIrSiWSXz8efIPcmTOROXy5fDy8iZLlqwcOnbC1rK+mgRjmvdEm+e7ggXZsWc/Pr6+BAe/pWSRgphM8qo2iY0TxwOpHFCWVKn9SJsuHRkyZuTIiZO2lvVNJEDTvCdf/vzcf/KcvYcO8/jxYwrmyw1ETzaTSfgEHjtKtYrl8fL2Jmu2bFy6dpPAkzZ4N4aZSdCmiSFTpsycu3SV58+ekSG1LwXz5rK1JJnPIN49Jjh6+BC1qlbGzd2dnDlzceBIoI2VmY9EYRqAdOnT8zIohPNXrhEUFIR/loy2liTzCbZv24p7CkfatWmFs7Mz+QsUiJ0JmVRINKaJwdPTixu37xEcFESOzBnImiFt7PRVGduyacN6OnzfBrVaRdFixXn+z1u2xnNIOTGQ6EwD4OHpyfXb9wgODkarDSVXtszo9Xpby0p2iDgVG2tXr6Rnty6YJImq1WuwfvNWAOzsLLPSskCgVqs/0mENEqVpgOh58bfucuPOA8LDw8mfK0fsohoylke8q/laMPdXcmbNxE8/Dic4KIR6DRqyau0Gi8dPkcKFFcuXMnL40ORRe2YuvL298fDw4OLVG2i1WsqVKs53eXLyzz9vbC0tSRNjmHlzZjNh3Bju339AtRo1efX2LVNnzrKKBqVCQUSUkeDgYKvE+yC21SNaAG8fH06fv8TLly+5ceMmFcqU5mXMO+Xkok+zEmOYObNm8svkiTx/9pJuPXowdcYsUqZMibu7h1V0ROmikCB2FRtrkiRMA5A6TRr2HDjM9Vu3iYyMpEr5sjx5/Dh2AQVrt3uTGjHXT6FQMGv6NGZNn8qjx8/o1bcPEyb/Eluqby2+b9+RH4cOITTEym+pJQmZBiBnrlxkzpKVfYeOoNcbqFOjKlUrBnDj+vXY+jaZ+BOTXcaP+ZkmDeoxc/pUbj94zA/9+/Hz2HFfvDyXOXFyciJL1qwYJeuPnNq8ytkSZMqcmVXrNhAREU7v7l1p0bQRq9dtIFfuPIA8rTo+xFyrXyZNZMWypdy6/4hRI4ZTvkIlcuTMibOz838fxEIYjQYUNnhDTZI0jRCCQoULA7B24xZaNG1E986dyJ4jB+07daZ4iZKycf4DEWde/rRfJrNg3lzuPXzMiGFD6D9wMClcXD7YLzmRJE0Td+anf86crFyzji4d27No2QquXrnC7LnzKVSkSLL8wr+EmOsyYexowsPDWbxwAS+DQhg+ZBCDhw7HOcX7tbST4/VLkqaJIaYfkztPXiZPnc69u3dYsmgRndq3ZcGS5RQpWhRInr+W/4ZCoWDmtKnMn/srj56/Ysyokfj6+tGkeYsPDJNcSdKmgffGKVmqNCVLlSZ/gYJ06diOvj270bhpc/IVKECFipVk48Rh3q+zmTxxPMFBQQwdNIBBQ4db7Ml+YiRJjZ59jrjNtbz58rFg8TLsHRzpN2AgQwb25/SpU/JiHu9YsmghA/r2IeTtW3r07sPYCZMSrGGE4INVaaxFks80cYnJOnnz5WPy1Ols2bSBC+fP0aVjO4b+OBJPLy8qVqqcLLPOimVLUCqVdO/chX4DfgBg4pSpNlb179jZabh27Sp/nfqTYsVLWC+wOVfp+JrVaGxBzAo4Qghx8+YNUb5MKQGIPDmyiXNnzny0T1Jn1W8rhIuDWmhA9Oza2dZyvpi1q1cJQDRr3MCqcZNF8+z/idsUy5HDn3kLF9O6RTPSpU9Hk4b1uHzpUrLJNBvWraVzh3Y4OTnTrv33zJ63wNaSvpiYt7W5pHCxatxk1Tz7f2Kaazn8/flt9VqePX1K4/p1qV+7Bhs2b8MoGa2b9q2EJEkcDzzG27fBNGveglTeHlR991qUxETGTJn4Lm+uWPNYDXOmrcTSPPs3Xr18KUoUKSiUINL5eYubN2/YWpJZMZlMYv3aNUIFws3ZQTSqX0e0aNLI1rLiTUzz+fetW0SDurWsGjtZZ5pP4e3jw849+6lXu2b0uzZLFufEX2fQ6w3kzJW41yYQQrB54wZaNm9BmlQ+BJSvwIrVa20t66uIaT6Hh4ejtHJTWjbNJ/Dw9CTw5Cl0Oh2lihWmQJ5cODk5cercBTJlymxrefEmKiqK169fcfrUKZo2bUa61L6ULRfwzjDvXh8t88Uky4GAL8Xe3p6/zl0kS9as2NnZUTh/nujpBomMDevWkDF9Bnr36Eah7/JRqkxZfluz7t2zDdkw8UXONP+BSqXi4tUb5PXPhpeXF/lz5eDq33dwcHTE3d3d1vL+k2WLF9G9S2dS+3pRvUZNFi5dDsilQ9+CnGm+kCs3b3Ph6g3SpE1LwXy5yZTGjwcP7tta1r+yaP48enbrgruHOzVr14k1DCS1Qkt5jYAEzeUbt/Dy8sLL25uCeXNz795dW0v6gJile+fNmc3A/v1I6eZGg4aNmb9oiY2VWQ5rL1csm+YruHzjFncePiFLlqwUypubO7dv2VpSLJPGj8XT1ZkRw4bQo1dvnr0OYva8+baWZTGcnJzYuX0nrVs0tVpM2TRfQUzT5szFy+Tw96dyQFl8PVy5eOG8TXWNHjWS6VN/wWg00qN3X8ZNnAwktabYpxFWLNiUTfONnDp3kTRp06HXG6hasTxnT5+2Wuy4N8rI4UOZP2c2ERHhDBw8lJ/HjrOajoSB9X4YZNOYgZ37DvD6rZb8+QvQtFF9smZIy6ED+wHL/QLGjH71692TPDmysWLZUl7985aRo0bz40+jLBJTJhrZNGbAzc0NtVrN7gOHyOHvz+tXr+jYri379u6xyCo4MYbp26sHWzZt5OatOwwZ9iOv//mHHr37mjVWQsdgMKDHyk1Qc9bkJIXas28lIiJc1K9dQyhApE/lI3bu2B67zRzTDWKO0btHN5ExjZ9QgZg3Z3aymsoQF4PBIObOmS1qV69qtZhypjEzjo5OzPx1Hvfu3aVkqdL06dGNSgFlWbNq5TdlnZjPKRQKfujTi9Urf+PB0xfM+XUOnbp2Sxad/U+hVqvJkCEDJkmyXkyrRUpGpEuXHoB5ixbTq1tXVq3bwL27d1AqlTRr0RKI3xP5mH27depA8Ntgtm/dyrxFS8iVOze5cuexydKsCQmj0WjV55uyaSyEEAI3N3fGTphE9169Wb50CYMH/MDunTsoXbYsnbt2/2LjKBQK+vTszu5dO3n0/BWLFsynVZu2yd4stkI2jYWIaYplyJiRDBkzkj1HDhCChUuXc/78Oezt7GnbvsMXGWdAvz4sWbQAnd7Egnlz6dCpEwqF3LK2FbJpLEjcadWenl6MmzQZtUbD3AWLGPnjMJQqJa3btovd5//NM/CHviiVSmbOmMXCxYtwcHCgafMWsmH+D8GHq9JYun8nm8YKxGQdLy9vhv04ksJFinDpwkUG9OvLo4cP8fTyomv3nh984cOHDGLZksUEh4Yze/Ys2nXoaOOzSLjYaTRcvXKFVb+toFWbtpYPaM6hOHnI+d+JOywcHBQkunZsLwCRLWM6sXLF8thtP48cIdyc7YWbs4OYPnWKLaQmKvbv2ytUIKpVKm+VeHKmsSJxm2tu7u5MnjodgGVLlzJqxHD0eh3BQcH8MmkC9g72DBw8jL4/DLCl5MSBEKiVWO0NBrJpbEBMc83F1ZXps+Zg7+DAutWr+KFPb5QKBb5+fnTv2Zt+AwbaWqrMJ5BNYyNiso69gwN58uZDMpnQqNUIIDIyku8KFrKtwESE0WhEZyL2rXeWRjaNDdHr9cyeMZ0Bg4eQOV1qataqjdFoxGAwUL1yRbZs34FJCGrWqm1rqQmadOkzUKFsKfQ6vVXiyaaxASEhIVy+eIELF84zasRwvm/dAm9vn9g+DkQvTVS/Tm00GhUbt/xOtRo1bag44SKEIE/evIyfNIWhg6zUnDXnqII8evbf6HRRYtKEcQIQ3m4u4qcfh8du+/+iy0b16ojU3h5CDWL/vr3WlpqoOLB/n6hQtrRVYsmZxooYjUamTp7EsBE/kTldalq1acuoMWM/eFVfXDZu/Z26NatjMpmoXb0aew8ewsvLm5y5csklNDZENo2VMJlMTBg3hhm/TKF08SIElK/Az2PH/+cT7N937QGgQZ1aNKhTi7dhkezZvYuq1WtYS3qiwVqV3rJpLIxWq0UIwcxpUxk3ZjSjx45j0NBhQPxKPrZs30mdGtV4/foV9evUYtvO3Xz3XUHc3N3QaBLmS5esiUKhQKeLQqfTYW9vb9lg5mzryX2ajxnUv5/QgPBKmUL8MnmiEOLbJ6M1bVhfeKdMIdQgtmzaaA6ZiZ7jgceEnQJRvkwpi8eSK/8sSL/ePZn/6xw8PFIyfORP9B84GPj2ZsS6TVuoWLkKvj6etGzamE0b1ptDbuJGCFRKcHR0sHgo2TRmxmg0AtCre1dWr/wNB0cHRowabfZymLUbN1MuoDxe3t50aNua9WtXA9ZfOC85IpvGzHRo2xo/j5SsXLGMaTNn8zIolB69elsk1qp1G3j0/BXNW7WmV/duuKdwZPHCxPMms8SKbBoz0rJpYw7s30d4eDgLFi+zeJl6TDNv/qIlNGveAoVCwbDBA5kza4ZF4yZ3ZNOYieaNG3Jg/z6C/glm+ao1NG3ewqrxZ82dT7sOHYmIiGDalMlkTOPHuDE/A/Jr3s2NbBoz0LRRfTZv2sLKtet5E6qlTr36NtExZvxEQiJ0fN++A69evmTenNmMGTXSImuvJTQkSSJSstKzGnMOxSW3Iefa1auI4oW/E45qxN7du20t5wPGjh4lFF9QqpOU2LZlsyhdvIjF48iZ5itpUKcmJwID+evsBbbu2E3V6tVtLekDevfpx5MnTxj240hmTJ1CuVLF6d+3d5LOOn6pUlll9FCuCPgKGtWrw64du9l/5DBeXl7450x4L7B1cXXFxdWVXn37Ri9h238Ajx89QqlUMmVa9ECBSGJvQ5OstGCgbJp40KheHRRKBTu272DX/n2UCyhva0n/iUqlpnuv3ihVKnr37cfKFct5+OABvn5+zJ47P8kZR62OvqUtel7mbOsl5T5N88YNha9HSqEBsWfXTlvLiTdarVYcPXJYLFowTwAiYxo/0b9P73dbk0Y/5/SpU8LP000MHzLIonFk03wBbVo0E2oQKZ3sxY7ft9lazjdhMBjEr7NnCTWIdH7eYlD/fraWZDbOnj4tHFWIEkUKWjSO3Dz7DEaDgb69emASgo3r17Fx8yYkSaJWnbq2lvZNqNVqunbvgSQZ6d/3B36dPSt2YCDuzNHEiACUSiUODpatP5NN8wn0Oh29e3Rj1W8rUKlVrFi9lnoNGtpaltlQKpX06NUHJydn9Hod3Xv2xtvNBQcHB0aPm2BreQkfc6atxNw8i3l+ERERLrp26iB4936ZVb+tsLEyyzN18iTh6mgnVCDGjBppazlfzZnTp4WzRinKlylp0TjJPtOIOFONtVotgwf8wPq1a5g5fSr29g60bN3G1hItzg8DB2E0GlGqlAwdPBRHJydUSiV9+8vrrn2KZG2aGMO8fPmCndu3c/PGddauWsmMOXNp2679B/skdWJmk+p1OkYMHYIADEYjAwYNSTTnL0lGwg0meQF0SxFjhuDgYMaM+olf5y8kra8XU2fOpm279p9d7CKpM2zET+j1ehYvXMCgIcNwdHDE08uLeg0a4ujoaGt5/0qq1Klp0qAez54+tWwgc7b1EkOfJm7tVVBQkOjSsb1I7e0henTtLObMnPHRPsmVQf37id49uglPV2ehADFl0gSh0+lsLeuzxHxnd+/cEQXz5rJorGSVacS77PHk8WMePXzAujVr2LRhHVNnzE52zbH/YtIv0wBwdXVl9crfGDJ4aOyom8UXrvgKYr6z0NAQlBZe3ipZmUahUBAaGsrY0aNYsHgp6VP5MG3mHNp83y7ZNsf+DSEEY8ZPRJIk1q9dQ/+Bg1Gr1JQuW5bMWbLi5uZma4kfoVAoiQgP59bff0e/fc4SmDNtJfTmWXh4uGjXuqVQgcieKYNYsWypEB94tUQAAAxISURBVEJujv0bMddm4A99RY0qlUQ6P28BiPFjRgu9Xm9jdR9z9coV4aRRijw5slosRrIxTVRUlGjZtLHIkNpXlChSUDZMPIh7jUaN+FFkSptKKEGM/XmUePrkiQgODrKhug+5euWKcHFQW7SUJsmb5s2b1yI0NFS0aNJIuDnZi21bNsdukw0TP2Ku16gRP4pC+fOIzOlSCwWIIQP721jZe2TTmIE6NaoKRxXCzzOl2LVjuxBCNsu3EPfaTftlskjj4ymcNUrRv2/vf/mU9bCGaZL0zM0aVSpy8cIFPDw9Wb5yDTXevedF7ux/Pe+vnaBf/4EMHjacFC4uLJo/j769egAQFRVlO4FWIMmZxmAwAFC1QgDHAwNZv2krT16+kRcMNzvR5unVpx8/jR6Do6Mj27dtxT2FA927dLKxNsuS5EwTULoEaX29OH36L44c/4PiJUvaWlKSp1uPXrwICmHshEkIAbt2bKd186ZA0lw+KkmZpkSRgjy4f5/Q0BCOHP+DwkWK2lpSsqJFq9YsWrqciIhwThwPJEMqH+rXTnpvcEsypilRpCBXr1zhyImTvA7Wki9/AVtLSpY0btqM31av48XzFxiMRs6dPUOdGlWtFl8IE3qdEQWW67cmCdOULFqIq1eucO7SFbJnz4G9gwNKZZI4tURJrTp1eROq5bfVa3n9+g2XLl6kdvUqVomdJ28+Av88hTZMa7EYibqMpnih71AoFVy9coUzFy6TPYe/rSXJABqNBo1GQ6UqVdm5dx/Vq1QlMvIUJYoUxNXFlX2Hj1o0voeHhwXzTCLONKWKFebG9WtcuXyZv85fxD9nTltLkvkEAeUrcOf+fbbt3M3Zsxe4efMG1StXtGhMhVLBs6dPaVjXMq+ST5SmCShVgutXr3Lq3AX+OneRXLly21qSzGdQq9VkyJiRkqVKc/DIYV69esXVK5ct2s9RoMBgNHDnzm2LHD/RNM8iIiJoVK82KpWKS5cucuzkKXLKZklUlAsoz669B6hVvQqHDh6kYd3aSJKRbTv3WCCaAo3aMrd3gjaNeFeuH6bV0qBuLQ4eCcTLzYWDRwLl0bFESoVKldhz4BDCJKhepSKurq40qleHTdu221raF5NgTRNjmLfBwTRr3CB6OPnIYSRJolCRIraWJ/MNxCznu23nblo2bcTRI4do36YVksnEoqXLsLNLeJPc4pLgTCPiTAZ7/fo17Vq34PKlS2zc+julSpextTwZM1K1WnWWrVxDp+/bsHLlapwc7ZCMRhYtW4Gjo2OCnUVrEdMIIXB1dY33ZyC6IPDB/fvMnD6VO7dvceniRdZs2ESp0mUS7EWU+Xpq16nLjDlzUSgUDB7wA1u3bEaj0TDr13m4vLuHEtr3bhHTqNVqfh45AnsHe/iP2qPIqCiqVq1OydKlAXj86BE9u3Xm+rVr9B80hE5duxNQvkKCu3Ay5qNZi5YAqFQqBg/oz/JVa3BydsbX15fO3brj55cqQX3/FjGNSqVi3JixmOCzD5kE4GinIlwv4e3tTcnSpXn48AG9unXh+rXrLFq6nIqVo58iJ6QLJmMZhBA0atIUrVZLWJiWaVMm8+DpCx4/esS4iZPx8fWN3e+/7gWTSSIsQgcWumcsYhpJkhg0ZBD29vafTTT2DvYcPniAM6f/4tyZM2zdvIm1q1dx7epVFixZSsXKVeTFLpIRMW9oa9ehIwDe3j6M+fknli3/DScnJ/IVKED5ipXInDnLfxrHw9OLbl07czww0DJizTmjLWbmpp+n2xftP3L4UOHp6izcUzgKQOT1zyb27d0jhJBnVyZnYr771StXiDz+2YQmumEi2rVuKZ49ffrBPp8jJCREZEjtK7Zv22p2fRbJNDFLJX1uMEC8+6UwmUzodTpKlCpNxkyZqFmrNlWqVpObY8mcmKzTolUbIiIiuXD+HGfPnGbFytUAjJ/8C35+fsDnm2thWi2hoSH06NqZ2nXrmVWfVYecRZzm1pPHj7h39y46nZHGTZvSsXPXD/aRSd7EGKdj5y4AbFi3lrGjR/HbytUoVSradeiIr68vWbNl/+w9o1AoLbI2m1VrzxQKBbf+vsmF8+fo1O57dvy+DecUjkRFRn2wj4wMvL8XhBA0adacET/9TM4cWVm/dg2ly5Rl+JDBvHn9+v09Y6VZolbNNG/evKZ9m9a8ev0K/5w5yZY9B7dv37KmBJlESEzWady0GSaTicUL56MN1bL9921IksTkqdNRKpVkzJTJKnqslmlCQkKoVa0KT548ZtPW39m+ay81a9chPMpgLQkyiZgY4zRt3oIDRwIZNWYs6dOn5+iRQ/hnzUqXju3Rai038SwuFjfNi+fPCQ4KonJAGZ4+ecLuA4diiy0NBr1FJwvJJC3iNteq1ajJnHkLSJ0mLXnz5ub0X6eoW7Na7PJRlpy5a7Ejq1RK9Ho9lQLKULhAXoKCgjh07IQ890Xmm4nJOpWrVuPy9b+Zu3ARrq6uXLl8iSoVyiFJEm/evLZY/9hifRqdTkexggUICQnhzIXL+KVK9fmd5XQjE0/iGqJY8RJs27mb2tWrcP/ePdL4eKBQKHF2drZIbIuYxs7Ojnw5s6OL0nHh6g28fXzQ6XQf7GNvb48kSSgAo9EI8NE+MjJfyncFC7F1x26qlC9HynfDzCaTySKxFEKYb5zOZDKRLWM6JEl6/0ch+FyAuL8WZpQhk0z5/+aYyWTCzc2NyzfMO0Jr9kwjSdKHppGRsRFCmJAk82cbs2Ya4L1hhMBkMiJJJoTgs9lGRsaSKBQKs79g9yszjQnt8+PMa96I+Y9S4uKkQegj0RnflTMIEPnyUbdGL7p2rEzmRLnmjYzMp/nqTCNMeiJePeTJ+cV0bL8Kl8G/s7RZaoQApfoJf44bztBd9zDm7MeaZe0o7OUsD5LJJAm+OgcolHY4+2UmfZH85EKJvVtq/FKlJlXq1Pj6FKH22A1MrqtGeWEMS/e/4nXSfmWJjE0xEn51M7/2qE59/+zky5OfIkU603P2FYJ4zbbJa3lixmjfOBAgYVKqsQOEiNv5V6BycSeznz0Oxle8emvEII8NyFiCqEecWj2aWfMvo6jcnu/nBZDdR8KgN/D47Bw6FbrAo2xd2WLGkGYYPRMIBagcU37wV8ODlSzf8JSHKVoxqIw7XpZ5ziSTrHnD9T3zGD77MurqQ1g5uAZuKR2we7c1R/oeeKnm02fMfZ4A6cwU1QymUSD0kVybWpuay+2IHidTY9DeQso4lAXzW1MvrycJeyUrmcTImwt7WDd9Na9d69K/awN8Pvzdxt4zH0UbDaT9jgmEEH1nmqNfbZbnNAqVBt/SrekS4Bn9b+VLLu/bwaFj+9i6JQWO3u2onM4eR3kkQMZsPOXv08fZf82RDO0rUCXDZ3ZzyUTj8b0wYr5qLbM0z1Cq8Sxcjzr1vN79zUS5IgFUTT2UpstncNMhGwV6lSO9W4Jbm1AmsfL2GS8e3OGGS1pyZs/O5yobFQpwz5nXrKHN9gTFpI/84LCuqfwpPKQTtZ3DebJkK2devUWeOSNjNqKiiIoIR+tkj52LdTvM324apQrV57bpIghTqhFhYURIRuQBNBmz4eyMs6sbHqERRAYFWzX0N5rGDmedljcKBSoHlw83Bd9l98ilHLj/kFT1a5HX0xOHbwsmI/Mel3SkyZqdPFGv0N59TjBYrVbrKzsZAp32IWfWLefo5ZOcDnuL47ZfmPHcDYFAoVASfCuQAzufUrxOT+r1qEZ2T415lcskc7zJ9V0JKhXYx6Izx9j1tBqt0nw6B0RcPMOLAkXIbKbIX1lGI4gMvsaeXyax95+UuLnYIyK1hOnfV5QqVCoyZSlDrXatyOlpJrUyMnHRv+Tq5ol0nrqLyHw9WDqyNf4ZPYgtz9Q+4NKZs9y670bODpXIY6awZq9ylpGxDu+euoQ/4q/Voxm75gbKjBUoWiwP2d2jB5hd1HoePX6IXY2f+D6H+SLLppFJxLwzjknHw8CtrN90jFOPHgIK1A4u5KzRjVaNy5HNzINrsmlkZOKJPNNFRiaeyKaRkYknsmlkZOKJbBoZmXgim0ZGJp7IppGRiSeyaWRk4olsGhmZeCKbRkYmnsimkZGJJ7JpZGTiiWwaGZl4IptGRiaeyKaRkYknsmlkZOKJbBoZmXgim0ZGJp7IppGRiSeyaWRk4olsGhmZeCKbRkYmnvwPAfyvbB/Lk5AAAAAASUVORK5CYII=)
maths-General