AB is a chord of the circle `x^2 + y^2 = 25/2` .P is a point such that PA = 4, PB = 3. If AB = 5, then distance of P from origin can be:

A variable line through A(6,8) meets the circle x^(2)+y^(2)=2 at B and C.P is a point on BC such that AB,AP AC are in H.P.Then the minimum distance of the origin from locus of P is

AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of AB and AC from the centre, prove that 4q^2 = p^2 + 3r^2

AB is a chord of the circle x^(2)+y^(2)=25. The tangents of A and B intersect at C. If (2,3) is the mid-point of AB,then area of the quadrilateral OACB is

AB and AC are two chords of a circle of radius r such that AB=2AC. If p and q are the distances of AB and AC from the centre Prove that 4q^(2)=p^(2)+3r^(2) .

AB and AC are two chords of a circle of radius r such that AB=2AC. If p and q are the distances of AB and AC from the centre Prove that 4q^(2)=p^(2)+3r^(2) .

Equation of chord AB of circle x^2+y^2=2 passing through P(2,2) such that PB/PA = 3, is given by

P(3,2)" is a point on the circle " x^(2)+y^(2)=13 " .Two points "A" ,"B" are on the circle such that PA=PB=sqrt(5) .The equation of chord "AB" is

In the figure, seg AB is a chord of a circle with centre P. If PA = 8 cm and distance of chord AB from the centre P is 4 cm, find the area of the shaded portion.

Tangents are drawn from P(3,0) to the circle x^(2)+y^(2)=1 touches the circle at points A and B.The equation of locus of the point whose distances from the point P and the line AB are equal is