" 8."6x^(2)-x-2=0

I. 6x^(2)+x-1=0 II. 8y^(2)+10y+3=0

(3,-4) is the point to which the origin is shifted and the transformed equation is X^(2)+Y^(2)=4 then the original equation is (A) x^(2)+y^(2)+6x+8y+21=0 (B) x^(2)+y^(2)+6x+8y-21,=0 (C) x^(2)+y^(2)-6x+8y+21=0 (D) x^(2)+y^(2)-6x-8y+21=0

Through the point P(3,4) a pair of perpendicular lines are drawn which meet x-axis at the point A and B. The locus of incentre of triangle PAB is (a) x^(2)-y^(2)-6x-8y+25=0 (b) x^(2)+y^(2)-6x-8y+25=0 (c) x^(2)-y^(2)+6x+8y+25=0 (d) x^(2)+y^(2)+6x+8y+25=0

A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y^(2)-12x-4y+4=0. The equation of the parabola is: (1)x^(2)-6x-8y+25=0 (2) y^(2)-8x-6y+25=0(3)x^(2)-6x+8y-25=0(4)x^(2)+6x-8y-25=0

Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-6x-8y+12=0,x^(2)+y^(2)-8x+6y+k=0

The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

For the given circles x^(2)+y^(2)-6x-2y+1=0 and x^(2)+y^(2)+2x-8y+13=0 , which of the following is true?

The equation of the circle which pass through the origin and cuts orthogonally each of the circles x^(2)+y^(2)-6x+8=0 and x^(2)+y^(2)-2x-2y-7=0 is

For the given circles x^(2)+y^(2)-6x-2y+1=0 and x^(2)+y^(2)+2x-8y+13=0 , which of the following is true?