1 .P and Q are two points observed from the top of a builing 10$\sqrt3$ m high. If the angles of depressi on of t he poi nts are complementary and PQ = 20 m, then the distance of P from the building is –

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2 .If A and B are complementary angles, then the value of sin A cos B + cos A sin B – tan A tan B + $sec^2$ A – $cot^2$ B is–

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3 .The least value of $2sin^2$ Ø + $3cos^2$ Ø is –

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4 .A, O, B are three points on a line segment and C is a point not lying on AOB. If ∠AOC = 40° and OX, OY are the internal and external bisectors of ∠ AOC respectively, then ∠ BOY is –

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5 .Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If ∠AOP = 60°, then ∠APB is –

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6 .If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of nis –

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7 .If the length of the side PQ of the rhombus PQRS is 6 cm and ∠ PQR = 120°, then the length of QS, in cm, is –

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8 .The angle formed by the hour-hand and the minute-hand of a clock at 2 : 15 p.m. is –

A.22$1\over2$°
B.30°
C. 27$1\over2$°
D.45°

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9 .

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10 .The side BC of ∠ ABC is produced to D. If ∠ ACD = 108° and ∠ B = $1\over2$ ∠ A, then ∠ A is

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