A man starts from the point `P(-3, 4)` and will reach the point `Q(0, 1)` touching the line `2x + y = 7` at R. The coordinates R on the line so that he will travel in the shortest distance is

A man strats 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|= .

A ray of light generated from the source kept at (-3,4) and strikes the line 2x + y = 7 at R. and then teminated at (0,1) . Find the point R so that ray travels through the shortest distance.

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

If the line x+y=1 touches the parabola y^(2)-y+x=0 ,then the coordinates of the point of contact are:

A point Q at a distance 3 from the point P(1, 1, 1) lying on the line joining the points A(0, -1, 3) and P has the coordinates

The coordinates of the foot of the perpendicular drawn from the point (3,4) on the line 2x +y-7 =0 are

A man starts walking from the point P( -3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then 50 ((PR)^2 + (RQ)^2) is equal to __________ .

A man starts walking from the point P( -3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then 50 ((PR)^2 + (RQ)^2) is equal to __________ .

Point P(-1, 7) lies on the line 4x+3y=17. Then the coordinates of the points farthest from the line which are at a distance of 10 units from the point P are