If the centroid of an equilateral triangle is (1,1) and its one vertex is (-1, 2), then the equation of its circumcircle is: is `x^2+y^2-2x-2y-3=0` b. `x^2+y^2+2x-2y-3=0` c. `x^2+y^2+2x+2y-3=0` d. none of these

If the centroid of an equilateral triangle is (1,1) and having two diameters along the pair of lines x^(2)-y^(2)-2x+4y-3=0 is x^(2)+y^(2)-2x-2y-3=0 b.x^(2)+y^(2)+2x-2y-3=0cx^(2)+y^(2)+2x+2y-3=0 d.none of these

Three sides of a triangle are represented by lines whose combined equation is (2x+y-4) (xy-4x-2y+8) = 0 , then the equation of its circumcircle will be : (A) x^2 + y^2 - 2x - 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x + 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

Three sides of a triangle are represented by lines whose combined equation is (2x+y-4) (xy-4x-2y+8) = 0 , then the equation of its circumcircle will be : (A) x^2 + y^2 - 2x - 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x + 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10 pi ,then the equation of the circle is (A) x^(2)+y^(2)-2x+2y-23=0 (B) x^(2)+y^(2)+2x-2y-23=0 (C) x^(2)+y^(2)+2x+2y-23=0 (D) x^(2)+y^(2)-2x-2y-23=0

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

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

The equation of the circumcircle of an equilateral triangle is x^(2)+y^(2)+2gx+2fy+c=0 and one vertex of the triangle in (1,1). The equation of the incircle of the triangle is 4(x^(2)+y^(2))=g^(2)+f^(2)4(x^(2)+y^(2))=8gx+8fy=(1-g)(1+3g)+(1-f)(1+3f)4(x^(2)+y^(2))=8gx+8fy=g^(2)+f^(2) none of these

The equation of the incircle of equilateral triangle A B C where B-=(2,0),C-=(4,0), and A lies in the fourth quadrant is: (a) x^2+y^2-6x+(2y)/(sqrt(3))+9=0 (b) x^2+y^2-6x-(2y)/(sqrt(3))+9=0 (c) x^2+y^2+6x+(2y)/(sqrt(3))+9=0 (d) none of these

The equation of the incircle of equilateral triangle A B C where B-=(2,0),C-=(4,0), and A lies in the fourth quadrant is: (a) x^2+y^2-6x+(2y)/(sqrt(3))+9=0 (b) x^2+y^2-6x-(2y)/(sqrt(3))+9=0 (c) x^2+y^2+6x+(2y)/(sqrt(3))+9=0 (d) none of these

The equation of the parabola whose vertex is (a ,0) and the directrix has the equation x+y=3a is a. x^2+y^2+2x y+6a x+10 a y+7a^2=0 b. x^2-2x y+y^2-6a x+10 a y+7a^2=0 c. x^2-2x y+y^2+6a x+10 a y+7a^2=0 d.None of these