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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
math
0
votes
1
answer
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
modelpaper
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
modelpaper
2008-1
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q25
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0
votes
1
answer
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
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sec-b
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ch2
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
q6
q6-b
0
votes
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
class12
ch6
q34
p138
exemplar
math
sec-c
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