Draw the circles whose equations are
` 5 x ^(2) + 5y ^(2) = 2x + 3y`

Determine whether the equation represent a circle or not : 5x^2 + 5y^2 + 2xy + 4x-y+2=0

Find the equation of the lines passing through the point of intersection of : 5x-3y=1 and 2x+3y=23 and perpendicular to the line whose equation is : (i) x-2y=3 (ii) y=0 (iii)x=0 (iv) 5x-3y=1 .

Determine equation of the circle whose diameter is the chord x+y=1 of the circle x^(2)+y^(2)=4

Find the equation of the circle passing through the vertices of the triangle whose sides are : x - y = 0 , 3x + 2y = 5 and x + 2y = 5 .

Find the equation of the tangent to the circle x^(2) + y^(2) + 5x - 3y - 4 = 0 at the point (1,2) .

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then the line 3x - 4y + 5 is a

The centre of the circle whose radius is 5 and which touches the circle x^(2)+y^(2)-2x-4y-20=0 at (5,5) is

The centre of the circle whose radius is 5 and which touches the circle x^(2)+y^(2)-2x-4y-20=0 at (5,5) is

Find the equation of the circle whose radius is 5 and which touches the circle x^(2)+y^(2)-2x-4y-20=0 externally at the point (5,5).