`(6,0),(0,6),a n d(7,7)` are the vertices of a ` A B C` . The incircle of the triangle has equation. a `x^2+y^2-9x-9y+36=0` b `x^2+y^2+9x-9y+36=0` c `x^2+y^2+9x+9y-36=0` d `x^2+y^2+18 x-18 y+36=0`

The centres of the three circles x^2 + y^2 - 10x + 9 = 0, x² + y^2 - 6x + 2y + 1 = 0, x^2 + y^2 - 9x - 4y +2=0

If x and y satisfy te equation xy-2x^(2)-9x+3y-16=0 then

In triangle A B C , the equation of side B C is x-y=0. The circumcenter and orthocentre of triangle are (2, 3) and (5, 8), respectively. The equation of the circumcirle of the triangle is a) x^2+y^2-4x+6y-27=0 b) x^2+y^2-4x-6y-27=0 c) x^2+y^2+4x-6y-27=0 d) x^2+y^2+4x+6y-27=0

Equation of the circle cutting orthogonal these circles x^2+y^2-2x-3y-7=0 , x^2 +y^2+5x-5y+9=0 and x^2+y^2+7x-9y+29=0 is:

Area of the triangle formed by the lines y^2-9xy+18x^2=0 and y=9 is

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y^2+4x+6y-19=0 is

Area of the triangle formed by the lines y^2-9x y+18 x^2=0a n d y=9 is____

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

Which of the following line can be normal to parabola y^2=12 x ? (a) x+y-9=0 (b) 2x-y-32=0 (c) 2x+y-36=0 (d) 3x-y-72=0