## Chapter 25 – Parabola Exercise Ex. 25.1

Find the area of the triangle formed by the lines joining the vertex of the parabola to the ends of its latus- rectum

Find the equation of the lines joining the vertex of the parabola y^{2} = 6x to the point on it which have abscissa 24

Find the coordinates of points on the parabola y^{2} = 8x whose focal distance is 4

In given parabola

a=2

Given focal distance=a+x=4, so x=2

So points are (2, 4) and (2, -4)

Find the length of the lines segment joining the vertex of the parabola y^{2} = 4ax and a point on the parabola where the line-segment makes an angle to the axis

If the points (0, 4) and (0, 2) are respectively the

vertex and focus of a parabola, then find the equation of the parabola.

If the line y = mx + 1 is tangent to the parabola y^{2} = 4x,

then find the value of m.

## Chapter 25 – Parabola Exercise Ex. 25VSAQ