is tangent to the other circle, is
17. From a point P which is at a distance of 13 cm from the centre o of a circle of radius 5 cm, the
pair of tangents PQ and PR to the circle is drawn. Then, the area of the quadrilateral PQOR is
22
18. Find the value of a so that the point (3. a) lies on the line represented by 2x - 3y = 5.
19. For what value of k: 2k, k + 10 and 3k + 2 are in AP?
20. A data has 13 observations arranged in descending order. Which observation represents the
median of data?
SECTION B
6 X 2 = 12
21. If one of the zeros of the quadratic polynomial (k-1)x² + kx + 1 is -3 then find the value of k.
22. Can the number 4". n be a natural number, end with the digit 0? Give reason.
23. Find the values of k for which the quadratic equation 9x - 3kx + k = 0 has equal roots.
24. Find the 20th term from the last term of the AP: 3.8.13. .... 253.
25. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the
ratio of their
volumes?
26. Two dice are thrown at the same time and the product of numbers appearing on them is noted.
Find the probability that the product is a prime number.
8 X 3 = 24
SECTION C
27. If a and B are the zeros of the quadratic polynomial f(x) = 2x² - 5x + 7, find a polynomial whose
zeros are 2a + 33 and 3a + 2B.
Answers
is tangent to the other circle, is
17. From a point P which is at a distance of 13 cm from the centre o of a circle of radius 5 cm, the
pair of tangents PQ and PR to the circle is drawn. Then, the area of the quadrilateral PQOR is
22
18. Find the value of a so that the point (3. a) lies on the line represented by 2x - 3y = 5.
19. For what value of k: 2k, k + 10 and 3k + 2 are in AP?
20. A data has 13 observations arranged in descending order. Which observation represents the
median of data?
SECTION B
6 X 2 = 12
21. If one of the zeros of the quadratic polynomial (k-1)x² + kx + 1 is -3 then find the value of k.
22. Can the number 4". n be a natural number, end with the digit 0? Give reason.
23. Find the values of k for which the quadratic equation 9x - 3kx + k = 0 has equal roots.
24. Find the 20th term from the last term of the AP: 3.8.13. .... 253.
25. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the
ratio of their
volumes?
26. Two dice are thrown at the same time and the product of numbers appearing on them is noted.
Find the probability that the product is a prime number.
8 X 3 = 24
SECTION C
27. If a and B are the zeros of the quadratic polynomial f(x) = 2x² - 5x + 7, find a polynomial whose
zeros are 2a + 33 and 3a + 2B.