Mathematics – Class 11 Practice Test 8

1. Find midpoint of (1, 4, 6) and (5, 8, 10).

2. Find the equation of directrix of parabola y²=100x.

3. Find the vertex of the parabola y²=4ax.

4. A hyperbola has ___________ vertices and ____________ foci.

5. Find the distance of point (2, 3, 5) from X-Y plane.

6. Equation of parabola which is symmetric about y-axis with vertex (0, 0) and pass through (6, 3).

7. A hyperbola in which length of transverse and conjugate axis are equal is called _________ hyperbola.

8. If P (2, 3, 9), Q (2, 5, 5) and R (8, 5, 3) are vertices of a triangle then find the length of median through Q.

9. Find the equation of latus rectum of parabola y²=-100x.

10. If focus of parabola is F (2, 5) and equation of directrix is x + y=2, then find the equation of parabola.