Home
Class 11
MATHS
P(x , y) is a variable point on the para...

`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 a/n parabola (b) hyperbola hyperbola (d) circle

Promotional Banner

Similar Questions

Explore conceptually related problems

let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The locus of the midpoint of PQ is

A tangent to the parabolax^2 =4ay meets the hyperbola xy = c^2 in two points P and Q. Then the midpoint of PQ lies on (A) a parabola (C) a hyperbola (B) an ellipse (D) a circle

If P is a point on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 and Q be the focus of the parabola y^(2)=8x then locus of mid-point of PQ is

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

The mid point of a variable chord AB of the parabola y^(2)=4ax lies on the line y=px where p is a constant,then find the equation of the locus of the points of intersection of the tangents at A and B.

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is