Q11. If two positive integers p and q can be expressed as p = ab and q = a’b; a, b being prime numbe
find LCM (p, q).
Q12. Cot A + 1
1
2, find cotA +
Cot²A
Cot A
Q13. The ratio of the volumes of two spheres is 8:27. Find the ratio between their surface areas.
Q14. If 31x + 43y = 117 and 43 + 31y = 105, then find the value of x-y.
Q15.Find the area of circle that can be inscribed in a square of diagonal 215 cm.
Q16. The angles of elevation of the top of a tower from two points at a distance of p' and 'q' from the
base of the tower and in the same straight line with it are complementary, then the height of the tower is
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