If `x^2+y^2=a^2,`then find the value of a.

If common tangent to parabola y^2=4x and x^2=4y also touches the circle x^2+y^2=c^2 , then find the value of C.

By eliminating the constant in the following equation x^(2)-y^(2)=c(x^(2)+y^(2))^(2) its differential equation is y'=(x(lambda y^(2)-x^(2)))/(y(lambda x^(2)-y^(2))) then find the value of lambda

If the solution of the differential equation y(x^(2)+y^(2)+1)dy-x(1-2y^(2)-2x^(2))dx=0 is ax^(2)+y^(2)+b log(2-x^(2)-y^(2))=c then find the value of a+b

If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , then find the value of b

If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , then find the value of b

If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , then find the value of b

(a) If x : y = 3 : 4 , then find the value of the ratio (2x + y) : ( 9x - 2y) . (b) If x : y = 5 : 4 , then find the value of the ratio (x^(2) + xy) : (x^(2) - xy) .

If m_(1) and m_(2) are slopes of lines represented by equation 3x^(2) + 2xy - y^(2) = 0 , then find the value of (m_(1))^(2) + (m_(2))^(2) .