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 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 student of IIN starts from a point P(-3,4) and reaches point Q(0,1) via R(alpha,0) such that perimeter ofthe triangle PQR is minimum, then the value of 10| alpha| is-

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

Consider the points P(2,-4):Q(4,-2) and R(7,1). The points P,Q,R

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

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 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 __________ .

Locate the points P (3,4), Q (1,0), R (0,4), S (4,1) on a graph sheet.

If P=(1,1),Q=(3,2) and R is a point on x-axis then the value of PR+RQ will be minimum at