Mathematics – Class 11 Practice Test 7

1. If the sum of two numbers is 4 times the geometric mean then find the ratio of numbers.

2. Find the sum of squares of first n terms.

3. If line joining (1, 2) and (5, 7) is parallel to line joining (3, 4) and (11, x).

4. Find the sum of series 1²+3²+5²+…………………………..+11².

5. If A.M. of two numbers is 15/2 and their G.M. is 6, then find the two numbers.

6. If a circle pass through (2, 0) and (0, 4) and center at x-axis then find the radius of the circle.

7. Find the equation perpendicular to 2x - y=4 and pass through (2, 4).

8. In which ratio (3, 4) divides the line segment joining (1, 2) and (4, 5) internally?

9. Find the focus of parabola with equation y²=-100x.

10. Find the sum to n terms of the series whose n^th term is n (n-2).