Let P a point on the line `y=3x` and `Q` lies on `2y+x=2` and the mid-point of `P Q` is (2, 3). The distance `P Q` is (a)4 (b) 6 (c) 8 (d) 10

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

The image of P(a,b) on the line y=-x is Q and the image of Q on the line y=x is 'R' find the mid-point of 'P' and 'R'

The point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

Let P is a point on the line y+2x=2 and Q and R are two points on the line 3y+6x=3 . If the triangle PQR is an equilateral triangle, then its area (in sq. units) is equal to

The line 2x−y+4=0 cuts the parabola y^2=8x in P and Q . The mid-point of PQ is (a) (1,2) (b) (1,-2) (c) (-1,2) (d) (-1,-2)

Let P be a point in the first octant, whose image Q in the plane x+y=3 (that is, the line segment P Q is perpendicular to the plane x+y=3 and the mid-point of P Q lies in the plane x+y=3) lies on the z-axis. Let the distance of P from the x-axis be 5. If R is the image of P in the xy-plane, then the length of P R is _______.

P lies on the line y=x and Q lies on y= 2x . The equation for the locus of the mid point of PQ, if |PQ| = 4 , is 25x^2 - lambda xy + 13y^2 = 4 , then lambda equals

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

P and Q are points on the line joining A(-2,5) and B(3,1) such that A P=P Q=Q B . Then the distance of the midpoint of P Q from the origin is (a) 3 (b) (sqrt(37))/2 (c) 4 (d) 3.5

A point P lies on the x-axis and another point Q lies on the y-axis. Write the ordinate of point P.