Home
Class 12
MATHS
If P is the middle point of the straight...

If P is the middle point of the straight line joining a given point `A (1, 2) and Q`, where Q is a variable point on the curve `x^2 + y^2 + x + y=0`. Find the locus of `P`.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If the middle point of the line segment joining (3, 4) and (k, 7) is (x, y) and 2x+2y+1=0 , find the value of k .

The line joining the points (2,\ 1) and (5,\ -8) is trisected at the points P and Q . If point P lies on the line 2x-y+k=0 . Find the value of k .

The locus of a point which divides the join of A(-1,1) and a variable point P on the circle x^(2)+y^(2)=4 in the ratio 3:2 is

If O is the origin and Q is a variable, point on x^(2)=4y , find the locus of the mid-point of OQ.

A is (-2, 0) and P is any point on the curve given by y^(2)=16x . If Q bisect AP, find the equation of the locus of Q.

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is

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

If O is the origin and Q is a variable point on y^2=xdot Find the locus of the mid point of \ O Qdot

Let P and Q be the points of trisection of the line segment joining the points A(2, -2) and B(-7, 4) such that P is nearer to A. Find the coordinates of P and Q.

Find the vector joining the points P(2, 3, 0) and Q( 1, 2, 4) directed from P to Q.