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

Let P be (5, 3) and a point R on y=x and Q on the x-axis be such that P Q+Q R+R P is minimum. Then the coordinates of Q are ((17)/4,0) (b) (17 ,0) ((17)/2,0) (d) none of these

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

P and Q are such two points on the line segment obtained by joining the points A (-2, 5) and B (3, 1) that AP = PQ = QB. Then find the coordinates of the mid-point of PQ.

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

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 value of 4x-3y+5

If the tangent at a point P, with parameter t, on the curve x=4t^(2)+3,y=8t^(3)-1,t in RR , meets the curve again at a point Q, then the coordinates of Q are

Let P be a variable point on a circle C and Q be a fixed point outside C. If R is the midpoint of the line segment PQ, then locus of R is

Let P be the point (-3,0) and Q be a moving point (0,3t). Let PQ be trisected at R so that R is nearer to Q. RN is drawn perpendicular to PQ meeting the x-axis at N. The locus of the mid-point of RN is

Let P and Q be the points on the prabola y^(2) = 4x so that the line segment PQ subtends right at the vertex . If PQ intersects the axis of the parabola at R , then the distance of the vertex from R is _