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 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

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0

The ratio in which the point Q(5,4,-6) divides the line joining the points P(3,2,-4) and R(9,8,-10) is

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

Find the equation of a straight line passing through the point P(-5, 2) and parallel to the line joining the points Q(3, -2) and R(-5, 4) .

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

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^2=4xdot