The tangent at any point on the curve `x=acos^3theta,y=asin^3theta` meets the axes in `Pa n dQ` . Prove that the locus of the midpoint of `P Q` is a circle.

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

If x=acos^3theta,y=a sin^3theta then find (d^2y)/(dx^(2))

Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin^3theta at theta=pi/4 .

x=acos^(3)theta,y=asin^(3)theta then find (d^(2)y)/(dx^(2))

The tangent at any point P on the circle x^2 + y^2 = 2 cuts the axes in L and M . Find the locus of the middle point of LM .

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

If x=acos^3theta,y=a sin^3theta, then find the value of d2y/dx2 at θ=π/6

The tangent at any point P on y^2 = 4x meets x-axis at Q, then locus of mid point of PQ will be

A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2asintheta, where theta is a parameter. The locus of the point P is a/an circle (b) aellipse unbounded parabola (d) part of the parabola

The tangent drawn at any point of the curve sqrtx+sqrty = sqrta meets the OX and OY axes at points P and Q respectively, prove that OP+OQ = a.