Let P be (5,3) and a point R on y = x and Q on the X - axis be such that `PQ +QR+RP` is minimum ,then the coordinates of Q are

Let A(2,3) and B(2,-4) be two points. If P lie on the x - axis , such that AP = (3)/(7)AB , Find the coordinate of P.

A light ray emerging from the point source placed at P(2,3) is reflected at a point Q on the y-axis. It then passes through the point R(5,10)dot The coordinates of Q are (0,3) (b) (0,2) (0,5) (d) none of these

A man starts from the point P(-3,4) and reaches the point Q(0,1) touching the x-axis at R(alpha,0) such that P R+R Q is minimum. Then 5|alpha| (A) 3 (B) 5 (C) 4 (D) 2

A man starts from the point P(-3,4) and reaches the point Q(0,1) touching the x-axis at R(alpha,0) such that PR+RQ is minimum. Then alpha and |alpha| .

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (a) (4/3,3) (b) (3,2/3) (c) (3,4/3) (d) (4/3,2/3)

If from a point P , tangents P Qa n dP R are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot

The curve y = (x-2)^(2)+1 has a minimum point at P.A point Q on the curve is such that the slope of PQ is 2. Find the area bounded by the curve and the chord PQ.

Let P and Q be point on the line joining A(5,6) and B (3, -4) such that AP=PQ=QB. Then the midpoint of PQ is

Given that P(3,1),Q(6. 5), and R(x , y) are three points such that the angle P Q R is a right angle and the area of R Q P is 7, find the number of such points Rdot