Home
Class 11
MATHS
A point P(x , y) moves in the xy-plane s...

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 (A) circle (B) ellipse (C) unbounded parabola (D) part of the parabola

Promotional Banner

Similar Questions

Explore conceptually related problems

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.

P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) is another variable point, where c is a constant. The locus of the midpoint of P Q is an (a)parabola (b) ellipse (c)hyperbola (d) circle

The locus of the point of intersection of perependicular tangent of the parabola y^(2) =4ax is

If theta is a parameter, then the locus of a moving point whose coordinates are x=alpha cos^(2)theta , y=alphasin^(2)theta is:

The locus of a moving point P(a cos^(3)theta,a sin^(3)theta) is:

Find the locus of midpoint of family of chords lamdax+y=5(lamda is parameter) of the parabola x^(2)=20y

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

If theta is a parameter, find the equation of the locus of moving point, whose coordinates are x=acos^(3)y=asin^(3)theta .

If theta is a parameter,find the equation of the locus of a moving point whose coordinates are a cos theta ,b sin theta .