Let A(2,3) and B(2,-4) be two points. If P lie on the x - axis , such that `AP = (3)/(7)AB`, Find the coordinate of P.

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

If A(-6,-6) and B(-6,4) be two points that a point P on the line AB satisfies AP=2//9AB . find the point P

Consider the points A(-2,4,7) and B(3,-5,8) . i. If P divides AB in the ratio k : 1, then find the coordinates of P. ii. Find the coordinates of the point where the line segment AB crosses the YZ-plane.

Consider the point A= (3, 4), B(7, 13) . If 'P' be a point on the line y = x such that PA +PB is minimum then coordinates of P is (A) (13/7,13,7) (B) (23/7,23/7) (C) (31/7,31/7) (D) (33/7,33/7)

If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P on AB such that AP = (3)/(7) AB.

Let A(1, 2, 4) and B(2, -1, 3) be two points. (i) Find vec (AB ) (ii) Find a unit vector along vec(AB)

Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at any points P in the plane in such a way that area of Delta PAB is 8 square unit, then number of possibe position(s) of P is

Let P_(1):x+y+2z-3=0 and P_(2)=x-2y+z=4 be two planes. Also, let A(1,3,4) and B(3,2,7) be two points in space. The equation of plane which passes through line of intersection of P_(1) and P_(2) upon which length of projection of the line segment AB is the least, is

Let P_(1):x+y+2z-3=0 and P_(2)=x-2y+z=4 be two planes. Also, let A(1,3,4) and B(3,2,7) be two points in space. The equation of plane which passes through line of intersection of P_(1) and P_(2) and upon which length of projection of the line segment AB is the greatest, is