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 `x^2+y^2-6x+(2y)/(sqrt(3))+9=0` `x^2+y^2-6x-(2y)/(sqrt(3))+9=0` `x^2+y^2+6x+(2y)/(sqrt(3))+9=0` none of these

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

Find the area of an equilateral triangle inscribed in the circle x^(2)+y^(2)-6x+2y-28=0

The latus rectum of the conic 3^(2)+4y^(2)-6x+8y-5=0 is 3b.(sqrt(3))/(2)c(2)/(sqrt(3))d. none of these

The equation of a circle of radius 1 touching the circles x^2 + y^2 - 2 |x| = 0 is: (A) x^2 + y^2 + 2sqrt(3x) - 2 = 0 (B) x^2 + y^2 - 2sqrt(3)y+2=0 (C) x^2 + y^2 + 2sqrt(3) y + 2 = 0 (D) x^2 + y^2 + 2 sqrt(3) x + 2 = 0

An equilateral triangle whose two vertices are (-2, 0) and (2, 0) and which lies in the first and second quadrants only is circumscribed by a circle whose equation is : (B) sqrt(3)x^2 + sqrt(3)y^2 - 4x - 4 sqrt(3)y = 0 (C) sqrt(3)x^2 + sqrt(3)y^2 - 4y + 4 sqrt(3)y = 0 (D) sqrt(3)x^2 + sqrt(3)y^2 - 4y - 4 sqrt(3) = 0

The equation of incircle of the triangle formed by common tangents to the circles x^(2)+y^(2)=4 and x^(2)+y^(2)-6x+8=0 is

A vertex of an equilateral triangle is at (2, 3), and th equation of the opposite side is x+y=2 , then the equaiton of the other two sides are (A) y=(2+sqrt(3)) (x-2), y-3=2sqrt(3)(x-2) (B) y-3=(2+sqrt(3) (x-2), y-3= (2-sqrt(3) (x-2) (C) y+3=(2-sqrt(3)(x-2), y-3=(2-sqrt(3) (x+2) (D) none of these

The equation of the incircle formed by the cordinate axes and the line 4dx+3y=6 is x^(2)+y^(2)-6x-6y+9=04(x^(2)+y^(2)-x-y)+1=04(x^(2)+y^(2)+x+y)+1=0 None o these

The equation of the circle touching Y-axis at (0,3) and making intercept of 8 units on the axis (a) x^(2)+y^(2)-10x-6y-9=0 (b) x^(2)+y^(2)-10x-6y+9=0 (c) x^(2)+y^(2)+10x-6y-9=0 (d) x^(2)+y^(2)+10x+6y+9=0

The orthocenter of the triangle formed by the lines x+3y-10=0 and 6x^(2)+xy-y^(2)=0 is