Maths-
General
Easy
Question
The maximum and minimum values of
are
- 8,7/2
- 10/13
- 3,5/7
- 2,8/7
Hint:
Hint: Here we have to find the maximum and minimum values off(x) = 4x3 + 3x2 -6x + 5. For that, find the first and second derivate and then local minimum and local maximum value. And put these value in the function to find the actual minimum and maximum value.
The correct answer is: 10/13
Here we have to find the maximum and minimum value.
Firstly , we have,
f(x) = 4x3 + 3x2 -6x + 5
first derivative,
f'(x) = 12x2 + 6x – 6
second derivative,
F"(x) = 24x + 6
To find the local maximum and minimum values of the function, set the derivative equal to 0 and solve.
12x2 + 6x - 6 = 0
12x2 + 12x - 6x - 6 = 0
12x(x + 1) - 6(x + 1) = 0
(x + 1) (12x - 6) = 0
so,
(x + 1) = 0
x = -1
&
(12x - 6) = 0
x = ![6 over 12](data:image/png;base64,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)
x = ![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
The final solution is all the values that make 12x2 + 6x - 6 = 0 true
x = -1, ![1 half](data:image/png;base64,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)
Evaluate the second derivative at x= (-1).
If the second derivative is positive, then this is a local minimum.
If it is negative, then this is a local maximum.
24x + 6
=24(-1) + 6
=-24 + 6
= -18
x=(-1) is a local maximum because the value of the second derivative is negative. This is referred to as the second derivative test.
Find the y-value when x=(-1)
f(x) = 4x3 + 3x2 -6x + 5
F(-1) = 4(-1) + 3(+1) - 6(-1) + 5
F(-1) = -4 + 3 + 6 + 5 = 10
Y = 10
Evaluate the second derivative at x= (
).
If the second derivative is positive, then this is a local minimum.
If it is negative, then this is a local maximum.
24x + 6
= 24(
) + 6
= 12 + 6
= 6
x=(
) is a local minimum because the value of the second derivative is positive. This is referred to as the second derivative test.
Find the y-value when x=![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
f(x) = 4x3 + 3x2 -6x + 5
F(
) =
+
-
+ 5
F(
) =
+
- 3 + 5
F(
) =
= ![13 over 4](data:image/png;base64,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)
Y = ![13 over 4](data:image/png;base64,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)
Therefore, the maximum and minimum number is 10 , ![13 over 4](data:image/png;base64,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)
In this question, you have to find the maximum and minimum value of the function. Firstly find the local minimum and local maximum value put for that , put the value of 1st derivative in 2nd derivative to find local maximum and minimum value. If the 2nd derivative is positive then it is minimum else maximum. Put the same value to the main equation and find the minimum and maximum value.
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Study the given pedigree carefully the trait indicated is,
![](data:image/png;base64,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)
Study the given pedigree carefully the trait indicated is,
![](data:image/png;base64,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)
biologyGeneral
biology
This is paedigree for autosomal recessive disease albinism (aa) what is probability of II - I is homozygous Normal
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)
This is paedigree for autosomal recessive disease albinism (aa) what is probability of II - I is homozygous Normal
![](data:image/png;base64,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)
biologyGeneral
biology
The pedgree show the occurence of albinism which is a recessive trait. If person 4 is homozygous, the carrier for the trait is
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)
The pedgree show the occurence of albinism which is a recessive trait. If person 4 is homozygous, the carrier for the trait is
![](data:image/png;base64,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)
biologyGeneral
biology
In pedigree analysis symbol
is used for
In pedigree analysis symbol
is used for
biologyGeneral
biology
Predict from the following chart
![](data:image/png;base64,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)
Predict from the following chart
![](data:image/png;base64,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)
biologyGeneral
biology
Equilibrium of gene frequencies is
Equilibrium of gene frequencies is
biologyGeneral
biology
Given below is a pedigree chart of a family with five childeren. It shows the inheritance of attached ear-lobes as opposed to the free ones. The squares represent the male individuals and circles the female individuals
![](data:image/png;base64,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)
Which one of the following conclusions drawn is correct -
Given below is a pedigree chart of a family with five childeren. It shows the inheritance of attached ear-lobes as opposed to the free ones. The squares represent the male individuals and circles the female individuals
![](data:image/png;base64,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)
Which one of the following conclusions drawn is correct -
biologyGeneral
maths-
A weight of 10 N is hanged by two ropes as shown in fig., the tensions
and
are
![](data:image/png;base64,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)
A weight of 10 N is hanged by two ropes as shown in fig., the tensions
and
are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMUAAACJCAYAAACcovznAAAQlklEQVR4nO3deVRU9fsH8PcwDPumAqKCotLxKGoulZqliSGyDjuKyCJuSVlWmnkyPW6Je8QxEE+mHBEwFAInQFBIExdIRSVMtBQ47HuCA87c3x/+8JtXzQFm5g7M8/pT7tz7eOA9997P5/ncy2MYhgEh5CkNrgsgRNVQKAhhoVAQwkKhIISFQkEIC4WCEBYKBSEsFApCWCgUhLBQKAhhoVAQwkKhIISFQkEIC4WCcK4rjdrKaOrWVPgRCHkFHo+H2tpaFBYWory8HLq6upBIJOjo6Hhmm2nTpmHEiBEKr4dCQVRCeXk5jh07huTkZNTW1kJTUxPW1tbg8XiQSqXg8/nYvn27UkLBo0VGRJWcP38ee/fuxTvvvINVq1Y993OGYcDj8RRaA50piEpgGAYnT57EgQMHYG9v/8JAAFB4IAA6UxAVERsbi/j4eDg4OGDlypWc1kKhIJyLjo6GSCSCk5MTli1bxnU5dPlEuPXdd98hJycHQqEQAQEBXJcDgEJBOBQZGYmcnBy4urrC19cXWlpaXJcEgCbvCEdiYmKQnZ0NV1dX+Pj4QE9PTykTc7KgMwVRqsePHyM+Ph6pqalwd3eHn58fdHV1lTLUKisKBVGatrY2iEQixMXFQSgUIigoCHw+X6UCAVAoiJK0trYiMzMTMTExcHZ2fmaUSZUCAVAoiBKIxWKkp6fjwIEDmDt3Lj766COuS/pPFAqiUFKpFCdOnMCRI0fg6OiIjz/+mOuSXolCQRTqhx9+QEpKCpycnLB06VKuy5EJhYIoTEREBM6ePQtnZ2csXLgQ2traXJckEwoFUYjdu3cjLy8Pzs7O8PHxgb6+PtclyUyuk3ePHj1CYWEhampqXrqNqkzQEMXZs2cPLl68CCcnJ3h6esLY2JjrkrpEbmcKiUSCa9euYf/+/dDQ0EBHRweMjY1hZGQEPT09mJqaYvr06Xj99dfldUiiYm7cuIG0tDRcvnwZbm5ucHNzQ//+/bkuq8vkFgqpVApDQ0O88cYbaG5uRl1dHfbt2wcrKyvMmjULurq6zywvJL1feXk5CgsL8ffff6O6uhpXr15FZWUlQkND4eHhARMTE65L7Ba5hUIgEMDW1ha2trbP/FtZWRksLCwwZswYjBo1Sl6HIxxra2tDTU0Nrly5giNHjuDu3bsAgF27dmH+/PkwMDDguMLu42/cuHGjonZub2+Pjo4OZGRkoKSkBHp6ejA3N4eurq6iDkmURCwWQ1NTEx0dHbh16xYqKysxduxYREVF9aqb6hdReJfsvHnzcPDgQVhYWGD79u2IiIjA/fv3IRaLFX1ookAGBga4ffs2oqOjUVxcDEdHRwQFBfWaYdf/otSVd1evXsWGDRtQUlKCjRs3QigUQktLS+V6X8irZWVlYfPmzSgrK8O8efMwduxYvPfee7CwsOj9v09Gyerr65mYmBhm3LhxTEBAAHPv3j1ll0B6qL29nVm0aBFjZWXFREREMG1tbUxjYyPXZcmN0hcZ9evXD0FBQRCJRDA1NcWUKVOwc+dOPHz4UNmlkG7au3cvampqsH79eoSGhkJHRwdGRkZclyU3nD64oKqqCmfOnEFsbCx0dHQQFhaG2bNnA1DO831I133zzTf4/fff4ebmBnd3dxgaGnJdktxx/jQPsViM27dvIyUlBampqZg0aRLWrl0La2trLssiLxAeHo78/HwIhUK4uLj02nmIV+E8FJ0qKyuRlJSE8+fPQ1tbG3PmzIGXl1efGM3o7SQSCSIjI5GbmwsPDw+4urr22UAAKhSKTgUFBThx4gSKioowdOhQBAUFYdKkSVyXpbba2toQGxuLtLQ0eHt7w8PDo09eMv2byoUCePKLOHr0KI4dOwYbGxu4ublh6tSpGDBgANelqZXm5mYkJycjISEBnp6e8Pf3V4uJV5UMRaeKigrs2LEDx48fx9KlSzFt2jSYmZnB0NAQAwYMgLGxMd2MK0hzczN+/vlnxMXFwc3NDaGhoRAIBFyXpRQqHQrgySiUUChEamoqAMDU1BSurq4ICQnBu+++y3F1fVNrayuOHz+OhIQEuLi4YPny5dDQUJ9HhKn8/5TH4yExMRFvvfUWtLS00NDQgEePHkFHR4fr0vqkx48f48iRI0hMTIRQKFS7QAC94EzRKT09HWlpaRCLxThz5gzKy8vx6aefYtu2bVyX1qfs3r0bubm5cHd3R2BgIDQ11W9xZq/5Cpg7dy4AICQkBIWFhdi6dSvi4+NhZ2eHCxcucFxd37Blyxb89ttv8PX1hb+/v1oGAuhFZwoAuHPnDgYPHgx9fX20trbi5s2bSElJQWZmJhwcHLBu3Tro6elxXWavtHHjRty6dQteXl5wcXHp1esheqpXheJFqqqqkJ+fj8TERNy9exeffPIJvL29uS6rV9m8eTMKCwvh4+ODuXPn9qk+pu7o9aHodOnSJRw/fhy3b9/G+PHjERgY+HSlH/VRvVh7ezsiIiJw4cIF+Pn5wdHRUe0DAfShUABAU1MTkpOTkZOTg4cPH8Le3h4+Pj59uiWhu1paWhAbG4uMjAz4+flBKBT2+hVz8tKnQtHp+vXr2L17N6qqqjBr1iw4Ojpi/PjxdLb4f42Njfjpp5+QnJwMHx8fzJ8/X2VemKIK+mQogCeXTImJiYiPj4e2tjbc3d1hZ2cHc3NzrkvjVGNjI06cOIGkpCR4enoiODgYfD6f67JUSp8NRaeqqiqEh4cjKSkJISEhWLx4MczMzNSy+/aff/5BXFwcUlJS4OHhgcWLF3Ndkkrq86HoVFBQgC1btqCiogJr1qzB7Nmze92T63qivb0d+/fvR1ZWFjw9PbFo0SKuS1Jdil3tqlra2tqYmJgYZuDAgUxwcDDz4MEDrktSmm3btjFz5sxhoqKiGKlUynU5Kq3XzGjLg46ODhYuXIiLFy9CX18frq6uCA8PR319PdelKdSGDRvw66+/wt/fHyEhITTg8Apqc/nE1tDQgNOnTyM6OhpaWlr47LPP8P7773NdltytX78eBQUFCAgIoGFXGaltKIAni5n+/PNPiEQinDt3DsOHD8eqVatgY2PDdWk9JpFIsHnzZly+fBmBgYFwdnbu8yvm5EWtQ9GptrYWIpEIGRkZaG1thZeXFwICArguq9taW1sRERGBnJwcBAUFwdXVVa17mbqKQvEvBQUFSE1NRXFxMYYMGQJ/f39MnjyZ67K6pKmpCYcOHYJIJMKCBQvg6+urFktI5YlC8QKxsbE4fPgwrKys4OzsDDs7u17xnoW6ujokJCQgOTkZ3t7eWLRokdq2f/cEheIl7t+/j127duHevXuYOnXq01YRVW2HqK+vR0JCAk6ePAmhUIiwsDCuS+q1KBSvIBKJsG7dOgwcOBBhYWGYNWsWDAwMVGpYs6WlBYcOHUJaWhrc3Nzw4Ycfcl1Sr0ahkEFTUxMiIyORlpaGyZMnY8WKFRg1apRK9AyJxWJ8++23yM7OhqenJ5YtW8Z1Sb2f8ucLe68bN24wnp6ejJmZGRMTE8N1OYxEImE2bNjAODg4MIcOHeK6nD6DzhRdVF9fjzNnziAqKgra2trYtGkTZyNUa9euxfXr1xEUFAQvLy+1eS6TolEoukEqlaKoqAg7duxAZmYmZsyYgejoaPTr108pxy8vL0dkZCRKSkoQFBQEe3t7tez6VRS16n2SlytXruDrr7/GgwcP4ODggIaGBgQGBiIpKUnhb4AVi8VYs2YNwsPDUVJSgqampqc/o+83+aAzRReJRCJ8//33sLGxgZOTE0aMGIHa2lqcOnUKly5dgq2tLZYsWYLRo0fL/dgtLS3Yt28fTp8+DRcXF/D5fJw7dw42Njb44IMPMHLkSFqPLgcKfTtqX5OXl4ejR4+if//++PLLLzFhwgT0798flpaWGDduHAQCAe7cuYMLFy6goaEBVlZWcnvkTl1dHQ4ePIjc3FwsXrwYy5cvx+jRo8Hj8XDx4kUUFhZiyJAhGDRokFyOp84oFDJqampCbGws6urqsGnTJgwePPiZn+vp6WHixIl47bXXUFRUhLNnz6K0tBTGxsbPbdtV1dXVOHr0KDIyMjBv3jwsWLAAPB4Purq6mDBhAszNzZGamoqbN2/CycmJZrF7iEIho9zcXOTn52P69OmYMWPGS7czMzODnZ0ddHV1kZWVhevXrwMATExMutWlWlNTg7i4OKSnp8Pb2xuhoaHPXR4NHz4cfD4fOTk5MDQ0hK2tbZePQ/6HbrRlVFBQAIFAgJkzZ75yW4FAAF9fXyQkJMDKygqff/45oqKiUFxc3KUb8cbGRvz4449IT0+Hl5cXlixZ8tJt7ezsMHPmTMTHx8u8f/JiFAoZlZaWQiqVYtiwYTJ/RkdHB1u2bEFcXBzy8vKwcuVKpKWloaGh4ZWfffToESIjI5GdnQ0/P7//DAQAWFhY4M0330RZWRmqq6tlrpE8j0Iho7a2NjAM063r9SlTpiAzMxPe3t5YsWIFli1bhps3b750+46ODuzZswf5+flYuHAhQkJCZDqOrq4uzMzMUFpa2uUayf9QKGRkbW0NPp+PsrKybu8jNDQU2dnZGDBgAJYsWYLt27ejpaXlmW0kEgm2bt36dMWcn5+fzPvX0tKCsbExpFJpt2skFAqZWVtbo7q6Grm5ud3eB5/Px+jRo7Fz506sW7cOWVlZmD59On755RcATybmNm3ahGvXriE0NLTLI0mNjY3466+/YGlp2e0aCUBjdzIKDg7G/fv3kZ2djQULFnR7PzweDwYGBnB1dcWYMWOQmpqKU6dOwdzcHH/88QfKysrwxRdfYNq0aV3et46ODoYOHUpzFT0k04x2bW0tjh07hlOnTqlEuzQXtLS0cPXqVVRUVODtt9+Gvr5+j9oq+Hw+NDQ0UFZWhqKiIgwbNgw8Hg8VFRWYOHEiDAwMIJFIZNpX5xDtgwcPUFpaipkzZyq83UTVicVijBs3DqtXr+7yPJFMoWhqasLp06eRl5entqFgGAY6OjrQ1NREa2srpFJpj9opOtsxBAIBtLW10djYiL1792L16tXQ1NTE48ePu7w/gUAALS0tPHz4UO1bPdrb2zFy5EjMnz8fpqamXfos9T6pCIZhwOfzIZFI1P4Pmmt0o60iOucuZJnDIIpFoSCEhUJBCAuFghAWCgUhLBQKQlgoFISwUCgIYaFQEMJCoSCEhUJBCAuFghAWCoUKod5M1UChUBE8Hg8aGhrUIasCKBRy1t1vexMTE3z11VcwMTFR6nHJ82g9hQIcPnwYYWFhEAgEMn/zMwyDlpYWGBoadukzHR0diIyMRHBwcE9KJv9Ca7QVoLS0FBYWFkhISEBzc7NMn+HxeE8XGcn6PWVkZAQ/P78ePWGEPI9CoQAMw8DS0lIpL3OxtLSkSyc5o3sKBeDxeDI/dKCnaPmq/FEoCGGhUBDCQqEghIVCQQgLhYIQFgoFISwUCkJYKBSEsFAoCGGhUBDCQqEghIVCoQCdj9VXBj6fTw2BckZdsgrA4/FQWVmJ4uJimVvHu8PIyAiVlZXUEChnFAoFGDRoEEpKSjB58mSF/sEyDAOxWEzvuJMzWnlHCAvdUxDCQqEghIVCQQgLhYIQFgoFISwUCkJYKBSEsFAoCGGhUBDCQqEghIVCQQgLhYIQFgoFISwUCkJYKBSEsFAoCGGhUBDC8n9Ehux4qXuunwAAAABJRU5ErkJggg==)
maths-General
maths-
If f(x), f (x), j (x) are continuous on [a, b] and differentiable on (a, b)
(a, b) then ![open vertical bar table row cell f left parenthesis a right parenthesis blank ϕ left parenthesis a right parenthesis blank phi left parenthesis a right parenthesis end cell row cell f left parenthesis b right parenthesis blank ϕ left parenthesis b right parenthesis blank phi left parenthesis b right parenthesis end cell row cell f to the power of ´ end exponent left parenthesis c right parenthesis blank ϕ to the power of ´ end exponent left parenthesis c right parenthesis blank phi to the power of ´ end exponent left parenthesis c right parenthesis end cell end table close vertical bar equals](data:image/png;base64,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)
If f(x), f (x), j (x) are continuous on [a, b] and differentiable on (a, b)
(a, b) then ![open vertical bar table row cell f left parenthesis a right parenthesis blank ϕ left parenthesis a right parenthesis blank phi left parenthesis a right parenthesis end cell row cell f left parenthesis b right parenthesis blank ϕ left parenthesis b right parenthesis blank phi left parenthesis b right parenthesis end cell row cell f to the power of ´ end exponent left parenthesis c right parenthesis blank ϕ to the power of ´ end exponent left parenthesis c right parenthesis blank phi to the power of ´ end exponent left parenthesis c right parenthesis end cell end table close vertical bar equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJoAAABGCAYAAAA0A41DAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAo9ZE6ZAAABnhJREFUeNrtnV+EX0cUx8dakYcIq6JWRF+iKqrCqlUVVfpQqyryEnmIqFJVUVWlD7GqVll5qMhbVVUfqkStqKpSVbGqStVaVRWi8hCxQtSqili2c+y53J3O3Dszvzlnzvx6vhyJ++/32fl979yZe+85P2P2tGtUqv9qV/wBA3rDxmrC9qu4z/+NSQqXeKPN2HjUWfaUjZ8yjvUj7kshiUySuEQb7UUb9zF+szHba4STGcdbsLGeyfIPmn7oi+FmijWMBC6xRgNT3ek10gn89yQ2Xq7WsRFTdNzG5sD6GkwxksQl1mhnbHzhWX7ZxsUJjvtm4nilY/l8YH0NphhJ4hJrtPdsvOtZ/q2NU4Gx3Ps2tmw8tLFh4zHPds/Y+D7i8w8gw582djDu2rhUkemojY/RAJ1esnELL+2f2ThYgatZo63hcbo411u3jSZw9bWNqzbmsCGv2TgdMNB2hMnW8Us93jsWNPxtG28723MwHcFB/ZPOpfF67/ir+HmcXM33aH/YOOZZvuNZdg4bqy84u5cCx34Y0ZteDbDABOXnCkxXPPt+aWPRGdf+xczVtNFm8FJgIo32A/Y2fd0IXA7GGm8GLymPBFgO2bhXgemeZ9nfngnUNiNX80ZbxAbxyXc5cG89+L6E2MvBgjNTc1kWPeMWaibY9xfPjNJto+dsfMfI1bzRoHv/NLAOGvJZZ5l7tsP6XwP7jw1wX8YxYogFJigrzEzGMRDorKeNYJZ+npmraaPB+Oi1hCn7HWe2tYzjF58u4jHMQOPedlhexf/P42cdY2YCfWTjcWfM1m+j8zjL5OZqftYZGpz6bkKu4Bcxg2MNuOf1TWD/mJuQv+PxDtv4Clmex9sIFyoxncBbLWfxktZxwYnxCRpitgJX00a775x1rmCa7z6Hu4SzqWXcd8szZY99rHIUbxs8wL/nAV6GTlVk6nrb6zim2sXZ8Epgds7J1aTR4H7R3ZFtYh4UH/EsS31QfMC5XSCBSTJXM0a7gmdpzGOP103a45HLA+O+kJaciYEEJslczRgNuuszRo4umP03bpVrysZoqumTGk2lRlOp0dRoKjWaSo2mUqOp0VRqtH1KzVM0RmZeJxeXBDbRRiuZ0wmSmNdJzSWFTazRUnM6x/IuQTXyOqm5Ys1Sm02k0VJzOsfyLvvizOuk5oqRFDaRRkvN6Twd2N4nzrxOaq4YSWETabTUnE7YHt6xglxFeMUI3h+D9+nnPdty5nVScJXK7aRga8poOTmd17ChwZxdruKHgTOWM6+zNFfJ3M7SbE32aCk5naCbvXFcp8MDjcOR10nBVSq3k4It1xe7EUFitNScztD2BzMbrVReJwVXqdzO0mxN9mipOZ2h7UPjCq68ztJcJXM7S7M1abTUnM7Q9jCOWs4Y2JbK6yzNZUy53E4KtuYunak5nbD9K54zcDMwg+LK6yzNBSqV20nB1uSsMyWncw0Hti/0pv9rnobsxJXXScFVKreTgq05o6XmdG7h5e4mDnw3jL8EUzf+4srrpODqetxJczup2JoxWqmczpBq53WW4pLOJtpolDmd3VhFWl5nLpd0NtFGk5bTaYzs/MnWcjv1DVuVGk2lRlOjqdRoKjWaSo2mRlOp0VRqNDUavHZzy+x/AVGZGzBaS1/cE2bvOeh8QyarwSzOaC1+caopvHSmpPZzlRuYJl4q5mpG85U7GFPOWwjU5QamiZeSuYrRQuUOYv6g1J9tpiyDII23hKiY2Y0WKncwpkl+tpmiDII03hKiZGY3WqjcwZgm+dlmijII0nhLiJKZ3WihcgdjCqX2gw5hI0FPCfmH8ELgXG89RRkECbyp5RFqMrMabajcwZhCqf3QAPAzgB+YvWQS2OYdbPC+gUqXQajNm1MeoSYze48WKncwpp2B6XVMY5Yug1CbN6c8Qk1mVqMNlTvIaYSuTMDchI2QUwahNm9OeYSazKxGGyp3kNOtPx15K4CiDEJN3tzyCDWZWY02VO5gTL7U/thMIIoyCDV5jckrj1CTmdVoQ+UOcqbeCziWGhNFGYSavKCc8gg1mdlnnUuZxw3dTNzA2dAszoje8pyVFGUQavPmlEeoycxqtLFyB2Py/Wwz9DQ3cCC72euJ+mckVRmEmrxdT5xaHqEWM5vRYsodjInjIXVKqQEJvK0wsxgtpdzBmFJS+znKINTmbYWZxWgSyx2E1OLPSLfArDkDqraM9i/PrId55PsbjAAAAwt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBjbG9zZT0ifCIgb3Blbj0ifCIgc2VwYXJhdG9ycz0ifCI+PG10YWJsZT48bXRyPjxtdGQ+PG1pPmY8L21pPjxtbz4oPC9tbz48bWk+YTwvbWk+PG1vPik8L21vPjxtaT4mI3hBMDs8L21pPjxtaT4mI3gzRDU7PC9taT48bW8+KDwvbW8+PG1pPmE8L21pPjxtbz4pPC9tbz48bWk+JiN4QTA7PC9taT48bWk+JiN4M0M2OzwvbWk+PG1vPig8L21vPjxtaT5hPC9taT48bW8+KTwvbW8+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtaT5mPC9taT48bW8+KDwvbW8+PG1pPmI8L21pPjxtbz4pPC9tbz48bWk+JiN4QTA7PC9taT48bWk+JiN4M0Q1OzwvbWk+PG1vPig8L21vPjxtaT5iPC9taT48bW8+KTwvbW8+PG1pPiYjeEEwOzwvbWk+PG1pPiYjeDNDNjs8L21pPjxtbz4oPC9tbz48bWk+YjwvbWk+PG1vPik8L21vPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bXN1cD48bWk+ZjwvbWk+PG1pPiYjeEI0OzwvbWk+PC9tc3VwPjxtbz4oPC9tbz48bWk+YzwvbWk+PG1vPik8L21vPjxtaT4mI3hBMDs8L21pPjxtc3VwPjxtaT4mI3gzRDU7PC9taT48bWk+JiN4QjQ7PC9taT48L21zdXA+PG1vPig8L21vPjxtaT5jPC9taT48bW8+KTwvbW8+PG1pPiYjeEEwOzwvbWk+PG1zdXA+PG1pPiYjeDNDNjs8L21pPjxtaT4mI3hCNDs8L21pPjwvbXN1cD48bW8+KDwvbW8+PG1pPmM8L21pPjxtbz4pPC9tbz48L210ZD48L210cj48L210YWJsZT48L21mZW5jZWQ+PG1vPj08L21vPjwvbWF0aD4SmxmKAAAAAElFTkSuQmCC)
maths-General
maths-
Statement - I : An equation of a common tangent to the parabola
ellipse ![2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text is end text y equals 2 x plus 2 square root of 3](data:image/png;base64,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)
Statement - II : If the line
(m
0 ) is a common tangent to the parabola ![y to the power of 2 end exponent equals 16 square root of 3 x text and the ellipse end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then end text m text satisfies end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAiIAAAATCAYAAACtDWYLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAACEJJREFUeNrtXW9oXEUQX0IIoQSxxFBKlUgIJUgI+WDREIsEipRQQpCGGkopJRKk+CH4RQsGFRHFD1HUL0WDSKlCqbWUEIUiIQSRSIihlBIqIiISpBChSDxC9Nzh5sjzZfft7L93e+/2B0Mve7tvd2ZnZmdn910Zo6OMtM3pO07drBhoS/BmQhEReSAU+yuqH4iISOJ0nfv3wttpE6fznFYLws9znBai3UVE+2toPxARUUUvLt5F2GgW3k5LBeHja07PR9uLiPbX0H4gIgKwn9P3nA6xYmW8C2mnT3NaLAAfD3H6E/+NiIj215h+ICKiiqucBvBzUQKRQtrpQVZJW3V57OMwp2lOa4p6Rzhd4XQfI74bKHQqXuD0laB8iNM8py187l1O73Nqr9M5K+fczvfYy4GOtYpBdGigl9uox6fryP5CG8cJB/Mb73PlI7PjnH7mtJNqXw/yf5nTGc9j9ukb8rZTU16s7RkChDlkzicucZpUDHYSA4/D+PcDKIQljX7gbshJSfmznFoSZf2cvimoQ9mMgYhTwO5jnFUuQgMeQ2cw7iBAz8P+QhoHyPCOxvyGrMshYtNxIPIr6ns9yj+PFxJ8+YZa2KkJL7r2LIys5nHBr/UCCgyvWD77UU73OLVqtLlf0ECkXIBAJHR0crplubMxtT+X8srbD1zkNKHBQ8i6XJSsR57PqxfZlGvoG0JZrym8ZNrzLKdTgvIpTm/hZ2CqJxBFuOgggnyF08ca9SG1tZ7xPQj3HUH5m/hdFkY4LbNKeguOgQYlchhjlbRnCaPRRwTPgqOpNXwW1D2nMJKs6L/69zCrXODK6hfm4zes8ykxwKO0Mc2IwN99OF6QxQanlyTzChmwrYwdkAlvIpQs9MbG/qhOMjQ/AHbwrQYPeemyjj2m8RqrHAEc4PQBpz9QN4fxe7gsOYOZCtj4XFD4JJXuZvkW1c6/rNkfRf46cqbw51O+eQUiMt9gw0st1ussXkj2fJbTu6myfai47RlpK90Ul266S1Zv3UG66UdWOc9U4QAu5ncTCiDDKtavAtp9ROjjMttNZ0Kb2wI5jOEcdSbqpS8g9WDaqzeRObpqmRGZSCm1qN8ncE7AEcPrYpNoIFmgtrEJRCBNeAKfXz0rTQewK+isbcepwgD2b6o3Niljat2Q/EAL7qw6NXnIQ5ep9ijCFVxgVlAXm/EZv6COLmIw2IxjKKV0Q0d3qb6FKktKf9SMFEXOlP58yjevQETmG2x4qcV6ncULyZ6Hkel0NDYdaGoMBA7nX9cwWt7GyRJdlGkTlPViZNmsMTlThPEeTxjTsUT0p4Mm5Cc9liFCvVlJpsgmELlM6PeaoN8NRZ/UNjaByH6BkaQXiy1BPVve0mjFXemgR71x4SRD8gOQJXrRgIc8dJlqjyLcxflN69zvmKEVlcs2XSrdpfoWqiwp/VEDEYqcdflzLV8fNqbjG2rFC/PAC8me21ORcgemHFtZbZGl1KvoOJvRwAZx4s5jnW5M90Hdp1Lt3+b0HnEMMNmjKGDKGzk32e7xSLsjvqnGvcHoxxvU51Oe95dgV6G6T0NtYxOIiBzxVqpslGVfsDLhLa0/1zk9k4Pe2O5wQvEDfYJdlYtAxJUum95DqerfPs1yGVS6a+NbRN9R+qPKhiJnXf5cy9eHjVF9Q568uEAWL1r2nGRihpgB8J3qkdUDhT0kKO/HqBDwKgYi8DshP6TqQWrrcU2e2jAYUWEKdx19Gs+exiBqh9HPV0XlO4YOsmxZbjLH1DYuAxEm2bW24Q7jDtt9C8uGtyq60Di7PemNj91aCH5gWSAzX5dVTXTZNBCB44gFB+VU3bXxLbLvVP259hmq/nzL11dGROUb8uTFdr1W8aJlz0v4wC7cBTWx2kM22PmM8aUXGsiQ/JuIvp/k9BPLPpaRQfXrdNX3qmc0oni4eDuW2q2ZOr6SRC6+A5FNQYSuArWNy0CkJRGoinCB7f0pZBPeAD3oQCltTfTGl5MMwQ/YOMU8dNk0EBnHzZFtOVV3bXyL6jtRfz59hqy/vOTr0sYovqGWvLj2c1r2/BmrXAyCc9QzLAzIJheCi1MSoSxLdnmf4+cPOb1uMJY+3FlkRYU3cEIgioc7K5QUO+U4gmrcC2zv+Vw7wUi2NQOYdDkYwISmPKltXAYioDOzGX2JztBNeIOg9wox2DXVG19OMkQ/oMNDHrpsGojAmw+TDsqpukvxLdsZwWZZsz+fPoNyB8enfF3pJ9U31JIXH36OLK8pdNK36sD5wM52ERW5OZGagrEfE9T/hNPfWPceU7/WtIg7ier9E7iYBsc5ZyX1OzBLk1xA4G2NSwQe1xMGCcdN8NrmBvv/0ZPOTfSb2LYJx0D5z5vWmN4l13R5N+6eq+eDnbigZYHaxiYQgQW+NxFIrrPsY5IJtje9acLbHKO9OmejN74CkRD9gA4PeeiyaSACFzSHHZRTdZfiW2TyUvEj6s+nz5D1l5d8Xekn1TfUkhfmmBcteY3ilyOBOB1VOrYDU0Jw6WkHg4ejkuc9yOkfTl+yym8IqHAUhVxCWsAFQhYUXWPiOytfMPUrwrBArmK0v4zBxBus8s64ieODc9TrOG4IQvoJRjKE/dmchR/B/mAubhP1iNLGJhA5x3Z/bnpVoh9V/drBoOCgA94oaUhbvfGFkPyAiaPPQ5dNAxE4jmh1UE7VXYpvkclLZlMqW3EtZ1V/PuWb19omWuOKxIuWrYwQF+l6xRKjv4YbUf+Iv6RphqL7gYiIiIABEedAgfk7govTw3GqYyAS0bB+ICIiIlDAOfpcA/B5Mk51w6AURRD9QERERPj4D41CJ9gbIVzBAAAB93RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT55PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz49PC9tbz48bW4+MTY8L21uPjxtc3FydD48bW4+MzwvbW4+PC9tc3FydD48bWk+eDwvbWk+PG10ZXh0PiYjeEEwO2FuZCYjeEEwO3RoZSYjeEEwO2VsbGlwc2UmI3hBMDs8L210ZXh0Pjxtbj4yPC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PG1zdXA+PG1pPnk8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPj08L21vPjxtbj40PC9tbj48bWk+JiN4QTA7PC9taT48bXRleHQ+dGhlbiYjeEEwOzwvbXRleHQ+PG1pPm08L21pPjxtdGV4dD4mI3hBMDtzYXRpc2ZpZXMmI3hBMDs8L210ZXh0Pjxtc3VwPjxtaT5tPC9taT48bW4+NDwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+MjwvbW4+PG1zdXA+PG1pPm08L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPj08L21vPjxtbj4yNDwvbW4+PC9tYXRoPglDJmIAAAAASUVORK5CYII=)
Statement - I : An equation of a common tangent to the parabola
ellipse ![2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text is end text y equals 2 x plus 2 square root of 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANMAAAATCAYAAAAK7zhtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA6ZJREFUeNrtWkFo1EAUHZZSpARRVlmKQmWRUqSIBwWLSimIiMiySEUXkSJ6EPHQo4KiIKJ4qIJeRIuIqCBVi5QqiCxSRCqiRUSkIh499CD0sJaixv/xL4aQ3c7PzGRmt3nw6HYySf68/P/nzyRCmINPnAe+Aq4VduCKHSnchxfwlzg0jgzwGPCdZaFcsSOFu9gPLDeCoXOpHSkcx1PgEdeN7AW+TO1I4TBWAH/QXyVsAY4AZ2ltMQU8oMnIdlqr5C2LlaQduxk1tN8gzmbSR1yw6yjwcUR7H3AcWKGqZhp4BZitdSHM1iVagCHWkeOVFAfaCRwjR7aJJO1ADT81YTCZ8hFX7MK1Un+N9j3A1kDbBuAzzsU7gB8UZwKM6KUxztXpYCp2xMF14OEGChIVqPqIKR/g2rUGOANcwjhnVsdiHR3lYkT7OTpWBTpwl2Ehh4H7ItoHgec12BGn5HjBHEO4X56yYUXIbbnKaGASKj5iMqFyNppOAG8w+uMz+swxpoemyyjg9nIu8P8h4LUIMeLuw8v2HQBeCrW1UV2bjWGHyruEVsqGHYrB9BZYYGglo4GuMer2EVPBVM+uKLwH7pTol6NxoLa7ZC+O090kZdoo4I2H6Pf2QDZOeorHAT0ItZ0BnrZQ8mAmPh5jDOF+OCMtZ9zXlgamfcQ3YJcX0dYN/A5sYSTZQVlj8EGOAncs0O+5+LfVPFVvZ4MhXJxsiff9GPh/JfArs/bVgfURmTBuMBWZC2gbGpjwER0zZi278KuXW3SNraFjF4CXGeMuUrD2ytSCo0LukxuMznlyJJuLz0rg9xAna2h8oJMRmqns5nlUw+OuYKdmDVSdNikf4c5M9ew6RcGE75HehI59A25k3sujZ14TXfQA2yQX2iP04EqWg2mChMxTRs5YKPFUnLPe8ZNC7vOnpDRI0kd8A3bh52R/Amu5zcAvC5R47A2OHNXdLZIZ4AkZ7tGCOWsxmG7Tgv0u8KBwBzreM2Uos7ugQdI+4huwqzqL36PfV4FnY5b107UOjgm57WOsx8dDwuDb/jsWgwlLiWFh7n2HzWDCbeSyIxok7SO+ZruquAn8ScE3I3EuvhTeS/0xufVRaTgQp0ypArd+HwFXRZx/X8htLZpAkewsNEkwVXX/RU7Z7ogGrvoIt7xeBvwNfAh8LXH9bRSwc8QyJYemREFSlGZGqgEPE4K5xb1YgNm7J9Vg0WvAwSYKptWpFP/RTVNwqkEKLvp1X/AvtOBqdlAWz50AAAEbdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bXN1cD48bWk+eTwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+PTwvbW8+PG1uPjQ8L21uPjxtdGV4dD4mI3hBMDtpcyYjeEEwOzwvbXRleHQ+PG1pPnk8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+MjwvbW4+PG1zcXJ0Pjxtbj4zPC9tbj48L21zcXJ0PjwvbWF0aD4fvI17AAAAAElFTkSuQmCC)
Statement - II : If the line
(m
0 ) is a common tangent to the parabola ![y to the power of 2 end exponent equals 16 square root of 3 x text and the ellipse end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then end text m text satisfies end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24](data:image/png;base64,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)
maths-General
chemistry-
Equilibrium constant of some reactions are given as under
Equilibrium constant of some reactions are given as under
chemistry-General
physics-
Two concentric shells of masses
and
are having radii
and
. Which of the following is the correct expression for the gravitational field at a distance r :–
![](data:image/png;base64,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)
Two concentric shells of masses
and
are having radii
and
. Which of the following is the correct expression for the gravitational field at a distance r :–
![](data:image/png;base64,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)
physics-General
physics-
Potential energy and kinetic energy of a two-particle system are shown by KE and PE. respectively in figure. This system is bound at :
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)
Potential energy and kinetic energy of a two-particle system are shown by KE and PE. respectively in figure. This system is bound at :
![](data:image/png;base64,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)
physics-General
physics-
Find the distance between centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of Earth
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)
Find the distance between centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of Earth
![](data:image/png;base64,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)
physics-General