Mathematics – Class 11 Practice Test 8

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

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

3. Find the equation of axis of the parabola x²=24y.

4. Find the coordinates of foci of hyperbola \((\frac{y}{16})^2-(\frac{x}{9})^2\)=1.

5. Find the points which trisects the line joining (4, 9, 8) and (13, 27, -4).

6. What is transverse axis length for hyperbola \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1?

7. 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.

8. The center of hyperbola is the same as a vertex.

9. What is eccentricity for \((\frac{x}{9})^2-(\frac{y}{16})^2\)=1?

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