Q.No-
39) From a point P(1,0) , a tangent PA is drawn to the circle x2+y2-8x+12=0 , A being the point of contact. Find the equations of the tangents to the circle from the middle point of PA if A is in the first quadrant.
41) A tangent is drawn to the circle (x-a)2 + y2 = b2 and a perpendicular tangent to the circle (x+a)2 + y2 = c2 . Find the locus of their intersection and prove that the bisectors of the angles between them always touch one or other of two other fixed circles.
90) The base of a triangle through a fixed point (a,b) and its sides are respectively bisected at right angles by the lines y2-8xy-9x2=0. Prove that the locus of the vertex is a circle. Find its Equation.
Q.No-
39) From a point P(1,0) , a tangent PA is drawn to the circle x2+y2-8x+12=0 , A being the point of contact. Find the equations of the tangents to the circle from the middle point of PA if A is in the first quadrant.
41) A tangent is drawn to the circle (x-a)2 + y2 = b2 and a perpendicular tangent to the circle (x+a)2 + y2 = c2 . Find the locus of their intersection and prove that the bisectors of the angles between them always touch one or other of two other fixed circles.
90) The base of a triangle through a fixed point (a,b) and its sides are respectively bisected at right angles by the lines y2-8xy-9x2=0. Prove that the locus of the vertex is a circle. Find its Equation.