The area of an equilateral triangle inscribed in the circle `x^2+y^2-6x-8y-25=0` is a.`(225sqrt(3))/6` b. `25pi` c. `50pi-100` d. none of these

The area of an equilateral triangle inscribed in the circle x^(2)+y^(2)+2gx+2fy+c=0 is

Find the area of equilateral triangle inscribed in a circle x^2+y^2+2gx+2fy+c=0

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

Area of the equilateral triangle inscribed in the circle x^(2) + y^(2) - 7x + 9y + 5 = 0 , is …………

STATEMENT-1 : The area of equilateral triangle inscribed in the circle x^(2) + y^(2) + 6x + 8y + 24 = 0 is (3sqrt(3))/(4) . STATEMENT-2 : The abscissae of two points A and B are the roots of the equation x^(2) + 3ax + b^(2) =0 and their ordinates are the roots of x^(2) + 3bx + a^(2) =0 Then the equation of the circle with AB as diameter is x^(2) + y^(2) + 3ax + 3by + a^(2) + b^(2) = 0 . STATEMENT-3 : If the circle x^(2) + y^(2) + 2gx + 2fx +c =0 always passes through exactly three quadrants not passing through origin then c gt 0 .

If area of an equilateral triangle inscribed in the circle x^2+y^2+10x+12y+c=0 is 27sqrt3 , then the value of c is (a) 25 (b) -25 (c) 36 (d) -36

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

A right angled isoceles triangle is inscribed in the circle x^(2)+y^(2)-6x+10y-38=0 then its area is (square units)

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

The shortest distance from the line 3x+4y=25 to the circle x^2+y^2=6x-8y is equal to :