Math hssc-i-a2
Download as DOC, PDF0 likes93 views
This document appears to be the first section of a mathematics exam containing 20 multiple choice questions. The questions cover a range of mathematics topics including trigonometry, algebra, matrices, and complex numbers. The section is to be completed in 25 minutes and answers marked on the question paper itself, with no deleting or overwriting allowed.
Math hssc-i-a2
- 1. 2 6 4 3 FAZAIA SCHOOLS & COLLEGES SEND-UP EXAM: MATHEMATICS HSSC-I (Session 2017 – 18) A2 Roll No. Name of Candidate Sig. of Invigilator. SECTION – A Time Allowed : 25 Minutes Marks: 20 NOTE: Section – A is compulsory and comprises pages 1-2. All parts of this section are to be answered on the question paper itself. It should be completed in the first 25 minutes and handed over to the Centre Superintendent. Deleting/overwriting is not allowed. Do not use lead pencil. Q. 1 Encircle the correct option i.e. A / B / C / D. All parts carry equal marks. (i) Contrapositive of p → q is . A. p →~ q B. ~ p →~ q (ii) C. ~ p → q sin 2θ = ________ D. ~ q →~ p 1 + tan 2 θA. 1 − tan 2 θ 2 tan θ C. 1 + tan 2 θ 2 tan θ B. 1 − tan 2 θ 1 + tan 2 θ D. 2 tan θ (iii) If sin x = 1 , the reference angle is . 2 π π A. B. 6 3 π π C. D. 4 2 (iv) The solution of the equation cotθ = 1 is . 3 A. π C. π and 2π 3 and π 3 B. π D. π and π 3 and 4π 3 (v) b 2 + c 2 − a 2 = 2bc A. cos α C. cosγ B. cos β D. sinα (vi) , If p: 3<4 and q:5>7 then p q is . A. True B. False C. Valid D. Unknown (vii) Range of y = tan x is . A. − 1 ≤ y ≤ 1 C. y ≥ 1 or y ≤ − 1 B. − ∝ < y < + ∝ D. y ≥ − 1 or y ≤ + 1 (viii) Sexagesmial measure of angle 3′ in radian is . π A. 216000 3π C. 10800 3π B. 180 3π D. 216000
- 2. 3 6 )(ix) Value of Cos 2 (π )+ sin 2 (π )+ Cot 3 (π is . 4 A. 2/3 B. 3/2 C. 3 D. 2 − 21 (x) The value of (−1) 2 is . A. -1 B. − i C. i D. 1 Sin A + Sin 2A (xi) = . 1 + CosA + Cos 2A A. Sin A B. Cos A C. Tan A D. Cot A 5 2 (xii) The value of the determinant 3 - 1 - 2 1 - 3 1 is_______. - 2 A. 1 B. 10 C. 9 D. 20 (xiii) In any triangle ABC r . r1 . r2 . r3 = . A. ∆ B. ∆2 C. ∆3 D. ∆4 (xiv) If A = and A2 = 1 then k is equal to A. 0 B. 1 C. 2 D. 3 (xv) If tan > 0 & sin< then terminal arm of lies in A. I B. II C. III D. IV (xvi) Period of tan x is . 7 A. 7π B. 2π C. 14π D. π (xvii) The angle 90 O ± θ,180 O ± θ,270 O ± θ,360 O ± θ are the angles. A. Composite B. Half C. Quadrantal D. Allied 1 3 (xviii) − sincos = . 2 1 A. 0 B. 2 1 C. D. 3 6 2 (xix) If A is a matrix of order m × n and B is a matrix of order n × p then order of AB will be . A. p × m C. m × p B. p × n D. m × n (xx) The modulus of 1 − i 3 is . A. 2 B. 3
- 3. C. 4 D. 3 For Examiner’s use: Total Marks: 20 Marks Obtained: