If Q is the harmonic conjugate of P w.r.t A,B and `AP=2`,`AQ=6` then `AB=`

Harmonic conjugate of (0,0) wrt to (-1,0) and (2,0) is

Find the harmonic conjugates of the point R(5, 1) with respect to the points P(2,10) and Q(6,-2)

If P(3,7) is a point on the line joining A(1,1) and B(6,16), then the harmonic conjugate Q of point P has the coordinates

The Harmonic conjugate of (2,3,4) w,r.t. the line joining (3,-2,2) and (6,-17,-4) is (x, y, z) then x + y + z=

If t_n denotes the nth term of an A.P. and t_p= 1/q, t_q= 1/p then which one of the following is necessarily a root of the equation (p+2q-3r)x^2+(q+2r-3p)x+(r+2p-3q)=0 (A) t_p (B) t_q (C) t_(pq) (D) t_(p+q)

The sum of first q terms of an A.P. is 63 q-3q^2 . If its p t h term is -60 , find the value of p . Also, find the 11 t h term of this A.P.

If a circle touches the side BC at point P, extended side AB at Q and extended side AC at R. Then AQ is equal to :

AB is the diameter of a semi-circle.Through A draw any straight lines AP,AQ meet the circumference again at P and Q. Draw PM,QN perpendicular to AB. Then the ratio AM:AN is equal to (A) BP^(2):BQ^(2) (B) AP^(2):AQ^(2) (C) AP^(2):AQ^(2) (C) AP^(2):AQ^(2) (C) AP^(2):AQ^(2) (D) none of these