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(chatquestion)...DUT UOnnjos The set of values of x for which (x +x+1)* <1 is (a) (-00, -1) (c) (-00, 0) 6. in the expansion of The constant 1. (b) (-00, 1) (d) None of these term 15 ( is x- (b) 30C15 7. If f(x)= |(e +3) dt, then which of the following (a) (15C)2 (ω Σ('c,) is always true xE R? (a) flx- 3) - flx - 1) S 11 Let S be the set of 6-digit numbers a,a,a,a,aza{all (b) flx+ 1) - f(x- 1)< 11 (c) f(x+ 3)- flx - 5) 2 24 (d) f(x) + f(x + 1) < -21 (c) 2. 15C r=0 2. digits distinct) where a, > a, > a, > a,< az < ag. Then n(S) is equal to (a) 210 (d) 420 (b) 2100 (c) 4200 8. The equation of curve passing through (1, 1) in which the subtangent is always bisected at the origin is (a) y = x (c) x+ y 2 The angle of elevation of the top of the tower observed from each of the three points A, B, C on the ground, forming a triangle is the same angle c. If R is the circumradius of the triangle ABC, then the height of 3. (b) 2x - y = 1 (d) x + y = 2 Three friends whose ages form a G.P. divide a certain sum of money in proportion to their ages. they do that three years later, when the youngest is half the age of the oldest, then he will receive 105 more than he gets now, and the middle friend will get ? 15 more than now, then the age of the youngest friend is 9. the tower is If (b) R cosa (a) R sina (d) R tana (c) R cota The number of ordered pairs (x, y) satisfying the system of equations given by sinx + siny = sin(x + y) and x + lyl 1 is (a) 2 4. (a) 27 (b) 18 (c) 14 (d) 12 (b) 4 (d) None of these 10. The first two terms of an H.P. are (c) 6 12 The and The number of real solutions of the equation log-(x + 2) = 6 - x is (a) 0 5. value of the largest term of the H.P. is 23 (a) 72/73 (b) 6 (b) 1 (d) 3 (c) 2 (c) 1/6 (d) None of these

asked Feb 1, 2020 by balaji.thirumalai
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