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

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

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

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

Find the condition that the point (h, k) may lie on the curve x^(2)+y^(2)+5x+11y-2=0 .

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

The maximum distance of the point (k, 0) from the curve 2x^2+y^2-2x=0 is equal to

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

Check, whether point (4, -2) lies on the line represented by equation 3x + 5y = 2 or not?

The set of values of 'a' for which the point (a-1, a+1) lies outside the circle x^(2)+y^(2)=8 and inside the circle x^(2)+y^(2)-12x+12y-62=0 , is

The normal at the point (1,1) on the curve 2y+x^2=3 is (A) x - y = 0 (B) x y = 0 (C) x + y +1 = 0 (D) x y = 0