` x^(2) + y^(2) - 8x + 10y - 12 = 0 ` वृत्त का केंद्र और त्रिज्या ज्ञात कीजिए :

3x^(2) + 8x +4=0, 4y^(2)-19y + 12=0

Two circles x^(2) + y^(2) - 4x + 10y + 20 = 0 and x^(2) + y^(2) + 8x - 6y - 24= 0

(i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

The number of common tangent to the circles x^(2) + y^(2) + 4x - 6y - 12 = 0 and x^(2) + y^(2) - 8x + 10y + 5 = 0 is

The conic given by y^2 + 8x - 12y + 20 =0

If 9x^2+y^2=37 and xy = 2 , x, y> 0 , then the value of (27x^3+y^3) is : यदि 9x^2+y^2=37 और xy = 2 , x, y> 0 , तो (27x^3+y^3) का मान ज्ञात कीजिए ।

Find the equations of the two tangents to the circle x^(2) +y^(2)- 8x - 10y - 8 = 0 which are perpendicular to the line 5x - 12y = 2.

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.