## Question

### Solution

#### SIMILAR QUESTIONS

*x* – 2 = *t*^{2}, *y* = 2*t* are the parameter equations of the parabola

The equation represents a parabola if is

‘*t*_{1}’ and ‘*t*_{2}’ are two points on the parabola *y*^{2} = 4*x*. If the chord joining them is a normal to the parabola at ‘*t*_{1}’ then

The vertex of the parabola *y*^{2} = 8*x* is at the center of a circle and the parabola cuts the circle at the ends of its latus rectum. Then the equation of the circle is

Find the equation of the parabola whose focus is (1, 1) and the directrix is *x + y *+ 1 = 0.

If the line 2*x* + 3*y* = 1 touch the parabola *y*^{2} = 4*ax* at the point*P*. Find the focal distance of the point *P*.

Find the angle between the tangents of the parabola *y*^{2} = 8*x*, which are drawn from the point (2, 5).

Find the locus of middle point of chord *y*^{2} = 4*ax* drawn through vertex.

Find the locus of the mid-point of the chords of the parabola *y*^{2} = 4*ax* which subtend a right angle at the vertex of the parabola.

Show that the normal at a point (*at*^{2}, 2*at*) on the parabola *y*^{2} = 2*ax* cuts the curve again at the point whose parameter .