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 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 medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

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

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

The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-2) to is

The equation of the incircle of the triangle formed by the coordinate axes and the line 4x + 3y - 6 = 0 is (A) x^(2) + y^(2) - 6x - 6y - 9 = 0 (B) 4 (x^(2) + y^(2) - x - y) + 1 = 0 (C) 4 (x^(2) + y^(2) + x + y) + 1 = 0 (D) 4 (x^(2) + y^(2) - x - y ) - 1 = 0

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(2)x+1=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^2-2sqrt(2)+1=0

Find the products: (3x+2y)(9x^2-6x y+4y^2)

If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4y+5=0 then its side is

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 : (A) sqrt(3)x^2 + sqrt(3)y^2 - 4x +4 sqrt(3)y = 0 (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