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

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

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

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

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

The set of values of alpha for which the point (alpha,1) lies inside the curves c_1: x^2+y^2-4=0 and c_2: y^2=4x is (a) |alpha| < sqrt(3) (b) |alpha|<2 (c) 1/4 < alpha < sqrt(3) (d) none of these

Show that (1, 2) lies on the locus x^(2)+y^(2)-4x-6y+11=0 .

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

Examine whether the points (3, -4) and (2, 6) are on the same or opposite sides of the line 3x-4y=9 ?

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