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Find the point on the curve \( y^2= 4x\) which is nearest to the point ( 2, -8 ).
cbse
class12
modelpaper
2012
sec-c
q24
math
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Jan 4, 2013
by
thanvigandhi_1
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Find point on the curve \( y^2=4x\) which is nearest to point (2, -8).
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Jan 30, 2013
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A helicopter is flying along the curve \( y = x^2 + 2\). A soldier is placed at the point (3, 2) . Find the nearest distance between the soldier and the helicopter.
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Show that the normal at any point \( \theta \) to the curve \( x=a\cos\theta+a\theta\: \sin\theta\) and \( y=a\sin\theta-a\theta \cos\theta\) is at a constant distance from the origin.
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Feb 3, 2013
by
thanvigandhi_1
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sec-c
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Find the equation of the plane passing through the intersection of planes \( 4x-y+z=10\: and \: x+y-z=4\) and parallel to the line with direction ratios < 2, 1, 1>. Find also the perpendicular distance of (1, 1, 1) from the plane.
asked
Jan 30, 2013
by
thanvigandhi_1
cbse
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q24
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Solve the following systems of equations using matrix method : \[ x-y=3;\: 2x+3y+4x=17; \: y+2z=7\]
asked
Feb 9, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
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Solve, using matrices : $ 2x-y+3z=5;3x+2y-z=7 ; 4x+5y-5z = 9$
asked
Jan 11, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
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0
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0
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Find the equations of the tangent and normal to the curve \( 16x^2+9y^2 = 144\) at \( (x_1, y_1)\) where \( x_1=2\: and \: y_1 > 0.\) Also, find the points of intersection where both tangent and normal cut the \( x\) - axis.
asked
Jan 9, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-c
q24
math
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