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Prove that the curves \( y^2 = 4x\) and \( x^2 = 4y\) divide the area of the square bounded by \( x = 0, x = 4, y = 4\) and \(y = 0\) into three equal parts.
cbse
class12
modelpaper
2012
sec-c
q34
math
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Dec 29, 2012
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thanvigandhi_1
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votes
0
answers
Prove that the curve \( y^2=4x\) and \( x^2=4y\) divide the area of the square bounded by \( x=0,x=4,y=4\: and \: y=0\) into three equation.
asked
Jan 30, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q25
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0
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1
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Using integration, find the area of the region bounded by the parabola \( y^2=4x\) and the circle \( 4x^2+4y^2=9\)
asked
Feb 10, 2013
by
thanvigandhi_1
cbse
class12
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2012
sec-c
q25
medium
math
0
votes
0
answers
Find the area of the region enclosed between the two circles \(x^2+ y^2 = 4\) and \((x – 2)^2 + y^2 = 4\).
asked
Dec 22, 2012
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q34
math
0
votes
0
answers
Using integration find the area of the region bounded by the parabola \( y^2 = 4x \) and the circle \( 4x^2 + 4y^2 = 9 \).
asked
Dec 19, 2012
by
thanvigandhi_1
cbse
class12
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0
answers
The sum of the surface area of a rectangular parallelepiped with sides x,2x and $\Large\frac{x}{3}$ and a sphere is given to be constant.Prove that the sum of their volume is minimum,if x is equal to three times the radius of the sphere.Also find the minimum value of the sum of their volumes.
asked
Jan 11, 2013
by
sreemathi.v
cbse
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p138
exemplar
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sec-c
0
votes
1
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Prove that \( tan^{-1} \bigg(\frac{\large 1}{\large 4} \bigg) + tan^{-1} \bigg( \frac{\large 2}{\large 9} \bigg ) = \frac{\large 1}{\large 2} cos^{-1} \bigg( \frac{3}{5} \bigg). \)
asked
Dec 26, 2012
by
thanvigandhi_1
cbse
modelpaper
2012
sec-b
q12
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medium
0
votes
0
answers
Find the area of the region bounded by the curves $x=4y-y^2$ and the y-axis.
asked
Apr 10, 2013
by
sreemathi.v
isc
class12
modelpaper
2012
sec-a
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q6-b
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