Download to read offline
Uploaded byFazaia inter college lahore
Math hssc-ii-a1
This document appears to be the first two pages of a mathematics exam for HSSC-II students. It contains 20 multiple choice questions in Section A that students are required to answer directly on the paper within 25 minutes. The questions cover a range of mathematics topics including functions, limits, derivatives, integrals, vectors, and lines/curves. Students are instructed not to delete or overwrite their answers and not to use a pencil. For the examiner, there is a note that the total marks for Section A is 20 and space to record the marks obtained by each student.
More Related Content
Math hssc-ii-a1
- 1. Page 1 of2 (MATHEMATICS – HSSC-II) FAZAIA SCHOOLS & COLLEGES SEND-UP EXAM: MATHEMATICS HSSC-II (Session 2017 – 18) A1 Roll No. Answer Sheet 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. Each part carries one mark. (i) A function of the form f ( x, y) = 0 is called function. A. Parametric B. Implicit C. Explicit D. Identity (ii) Range of the function f ( x) = x 2 + 1 is . (iii) A. (−∞, ∞) C. [1, ∞) Li m (e x ) = . B. (0, ∞) D. (∞ − ∞) x → −∞ A. ∞ B. − ∞ C. 1 D. 0 (iv) The parametric equations x = a cosθ , y = b sinθ represent equation of . A. Parabola B. Hyperbola C. Ellipse D. Circle d − (v) tan 1 1 = _________. dx x A. − 1 1 + x 2 x C. 1 + x2 1 B. 1 + x 2 − x D. 1 + x 2 (vi) 1 + x + x2 + .......... .... is expansion of_ . 2! A. sin x C. n(1 + x) B. cos x D. e x (vii) f ( x) = cos x is increasing function in . π A. to π 2 B. π to 3 π 2 C. 0 to π D. − π to 0 (viii) The slope of the tangent line to the graph of f at ( x, f ( x)) is . A. f ′( x) B. f ( x)
- 2. Page 2 of2 (MATHEMATICS – HSSC-II) C. y D. f ′ ( x)
- 3. 1 (ix) ∫ (nx). x dx= ____________ . 2 A. (nx) 2 + c B. (nx) x C. (nx) 2 + C x 2 D. 1 (nx ) 2 + C 2 (x) ∫ cosec 2 x cot x dx = ____________ . A. n cot x + c B. tan x + c C. − n cot x + c 2 1 . D. cot x + c (xi) ∫ 4 + x 2 dx = ___________ π A. 1 B. 2 π π C. D. 4 8 (xii) The area bounded by the x –axis and graph of Sin function from − π A. 0 B. 1 C. 2 D. 4 (xiii) The slope of the line 2 x + 3 y = 7 is . to π is . 2 1 A. B. 3 3 − 2 − 1 C. D. 3 2 (xiv) The equation ax 2 + 2hxy + by 2 = 0 represents two real and distinct straight lines if . A. h 2 > ab C. h 2 = ab B. h 2 < ab D. h = 0 (xv) Equation of a straight line parallel to y − axis and through (1,2) is . A. x = 0 C. x = 1 B. y = 0 D. y = 2 (xvi) Slope intercept form of equation 5x -12y + 39 = 0 is . x A. + − 39 / 5 y = 1 39 / 12 5 39 B. y = X + 12 12 5 x C. − 13 12 y + = 3 13 5 D. y − o = 12 39 ( X + ) 5 (xvii) (2i.3j) x k is . A. 2i – j B. 2i – 3k C. 0 D. k (xviii) If vectors a, b, and c are there position vectors of sides of a triangle, then . A. a − b − c = 0 C. a = b − c B. a = b = c D. a + b + c = 0 (xix) If a × b = 0 and a.b = 0 then . A. a and b are parallel B. Either a = 0 or b = 0 C. a and b are perpendicular D. a ≠ 0, b ≠ 0 (xx) Which of the following can be the direction angles of a single vector? A. 45 O ,45 O , 60 O B. 30 O ,45 O ,60 O
- 4. C. 45 O ,60 O , 60 O D. Novector For Examiner’s use: Total Marks: 20 Marks Obtained:
- 5. Page 3 of2 (MATHEMATICS – HSSC-II)
- 6. Page 3 of2 (MATHEMATICS – HSSC-II)