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CBSE CLASS XI

PARABOLA

1. If the vertex of a parabola be at origin and directrix be x+5 = 0, then find its latus rectum.  
2. If (2, 0) is the vertex and y-axis the directrix of a parabola, then find its focus. 
3. If the parabola y² = 4x passes through (–3, 2), then find length of its latus rectum.
4. Find the ends of latus rectum of parabola x² + 8y = 0.  
5. Find the equation of the lines joining the vertex of the parabola y² = 6x to the points on it whose abscissa is 24.
6. Find the points on the parabola y² = 36x whose ordinate is three times the abscissa.   
7. Find the co-ordinates of the extremities of the latus rectum of the parabola 5y² = 4x.
8. A parabola passing through the point (-4, -2) has its vertex at the origin and y-axis as its axis. Find the latus rectum of the parabola.
9. Find the focus of the parabola x² = - 16y .
10. Find weather the parabola y² = x  is symmetric about x -axis or y- axis.  
11. Find the Focus and directrix of the parabola x² = - 8ay.
12.  Find the area of triangle formed inside the parabola y² = 4x and whose ordinates of vertices are 1, 2 and 4 .
13. An equilateral triangle is inscribed in the parabola y² = 4ax whose vertices are at the parabola, then Find the length of its side.
14. Find the area of the triangle formed by the lines joining the vertex of the parabola x² = 12y to the ends of its latus rectum.

Submitted By Mr. Sumit Luthra
About author: Pgt math,Mount Caremel school,N.D 76
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