If R(x,y)is a point on the line segment joining the points P(a,b)andQ(b,a),then prove that x+y=a+b
Find the ratio in which the line segment joining A(1, 5) and B(4, 5) is divided by the x-axis. Also find the coordinates of the point of division.
Find the locus of a point, so that the join of (−5,1) and (3,2) subtends a right angle at the moving point.
Let A≡(3,−4),B≡(1,2)˙ Let P≡(2k−1,2k+1) be a variable point such that PA+PB is the minimum. Then k is 7/9 (b) 0 (c) 7/8 (d) none of these