Find the equation of circle which touches $2 x - y + 3 = 0$ and pass through the points of intersection of the line $x + 2 y - 1 = 0$ and the circle $x^{2} + y^{2} - 2 x + 1 = 0$

Find the equation of the circle passing the point (1, 2) and touching the line 2x + y - 1 = 0 at the point (1, -1).

Join BYJU'S Learning Program

The equation of the parabola whose axis is parallel to y – axis and passing through (4, 5), (–2, 11), (–4, 21) is

The correct option is A x2−4x−2y+10=0Since three points on the parabola are given, we will go for substitution. The point (4, 5) lies only on x2−4x−2y+10=0 Note that the axis of this parabola is parallel to y- axis, because its of the form X2=4AY

The correct option is A $x^{2} - 4 x - 2 y + 10 = 0$
Since three points on the parabola are given, we will go for substitution.
The point (4, 5) lies only on $x^{2} - 4 x - 2 y + 10 = 0$
Note that the axis of this parabola is parallel to y- axis, because its of the form $X^{2} = 4 A Y$