12.07.2015 Views

Test Codes: SIA (Multiple Choice Type) and SIB (Short Answer Type ...

Test Codes: SIA (Multiple Choice Type) and SIB (Short Answer Type ...

Test Codes: SIA (Multiple Choice Type) and SIB (Short Answer Type ...

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(B) are not necessarily real. *(C) satisfy a linear equation.(D) satisfy a quadratic equation. *33. Let tan(α−β+γ)tan(α+β−γ) = tan βtan γ . Then(A) sin(β − γ) = sin(α − β).(B) sin(α − γ) = sin(β − γ).(C) sin(β − γ) = 0. *(D) sin 2α + sin 2β + sin 2γ = 0. *34. Let K be the set of all points (x, y) such that |x| + |y| ≤ 1. Given apoint A in the plane, let F A be the point in K which is closest to A.Then the points A for which F A = (1, 0) are(A) all points A = (x, y) with x ≥ 1(B) all points A = (x, y) with x ≥ y + 1 <strong>and</strong> x ≥ 1 − y(C) all points A = (x, y) with x ≥ 1 <strong>and</strong> y = 0(D) all points A = (x, y) with x ≥ 0 <strong>and</strong> y = 0.tan 3θ35. Lettan θ= k. Then(A) k ∈ (1/3, 3).(B) k ∉ (1/3, 3). *sin 3θ(C)sin θ= 2kk−1 . *(D)sin 3θsin θ> 2kk−1 . 16

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