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

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),a n dR(alpha,0) (i) Find the value of ( i i )alpha( i i i ) (iv) if ( v ) (vi) P R+r Q (vii) (viii) is minimum (ix) Find the value of ( x )alpha( x i ) (xii) if ( x i i i ) (xiv)|( x v ) P R-R Q|( x v i ) (xvii) is maximum

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 :

The mid-point of (3p,4) and (-2, 2q) is (2,6). Find the value of p + q:

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 the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Find the ratio in which Q divides PR

If the points P (0,3,2), Q(1,2,-2) and R (4,-1,t) are collinear, find the value of t.

The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q

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