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

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

Given points P(2,3), Q(4, -2), and R(alpha,0) . Find the value of alpha if PR + RQ is minimum.

A point charge -q is carried from a point A to anther point B on the axis of a charged ring of radius r carrying a charge +q. If the point A is at a distance 4/3 r from the centre of the ring and the point B is 3/4 r from the centre but on the opposite side, what is the net work that need to be done for this

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

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

Show that the points P(-2,3,5) ,Q (1,2,3) and R (7,0,-1) are collinear

If a point Q lies between two points P and R such that PQ = QR, prove that PQ = 1/2 PR.

A ray of light passing through the point (1,2) is reflected on the x-axis at a point P and passes through the point (5,3) , then the abscissa of the point P is-

Consider the point A(3,4) and B(7,13).If P be a point on the line y=x, the co-ordinate of point P if PA+PB is minimum.

If the points P (1,2,3), Q(4,5,6) and R(7,8,9) are collinear then Q divides PR in the ratios of -