Examing whether point `(2, -3)` lies on the curve `x^2 - 2y^2 + 6xy + 8 =0`.

Examine whether point (1, 2) lies on the curve 4x^2 - y^2 =0 .

Examine whether point (2, -5) lies on the curve x^2 +y^2 -2x+1=0

The point (0,3) is nearest to the curve x^(2)=2y at

Does the point (3, 0) lie on the curve 3x^(2)+y^(2)-4x+7=0 ?

If the point (2,-3) lies on the circle x^(2) + y^(2) + 2 g x + 2fy + c = 0 which is concentric with the circle x^(2) + y^(2) + 6x + 8y - 25 = 0 , then the value of c is

If the points (lambda, -lambda) lies inside the circle x^2 + y^2 - 4x + 2y -8=0 , then find the range of lambda .

If the straight lines joining the origin and the points of intersection ofthe curve 5x^2 + 1 2xy-6y^2 + 4x-2y+ 3=0 and x + ky-1=0 are equally inclined to the co-ordinate axes then the value of k

Check wheather The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

The equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0 and x^2 + y^2 + 2x - 6y - 6=0 and having its centre on y=0 is : (A) 2x^2 + 2y^2 + 8x + 3 = 0 (B) 2x^2 + 2y^2 - 8x - 3 = 0 (C) 2x^2 + 2y^2 - 8x + 3 = 0 (D) none of these

Find the value of k if the point (1, 2) lies on the curve (k-10)x^2+y^2-(k-7)x-(3k-27)y+11=0