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

Let P(1,1) and Q(3,2) be given points. Find the point R on the x-axis such that PR+RQ is minimum

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

If P, Q and R are three points with coordinates (1, 4), (4, 5) and (m, m) respectively, then the value of m for which PR + RQ is minimum, is :

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

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

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

Value of R.Q of fat is

If P,Q and R are three points with coordinates (1,4),(4,5) and (m,m) respectively,then the value of m for which PR+RQ is minimum,is:

If P-=(-2, -3) and Q-= (3, 7) , then point A on the X- axis such that AP^(2)+AQ^(2) is minimum is