Past Paper 2025 12th Class Karachi Board Mathematics Objective (Science General Group)

Paper Image

MATHEMATICS 2025

(Science General Group)

TIME: 3 Hours (100 Marks)

SECTION 'A' (Multiple Choice Questions)(20)

1. Choose the correct answer for each from the given options:

i) The “expand” compound in Maple software for (x + 1)(x + 2) is: *> expand((x + 1) * (x + 2)) ✓ *> expand((x + 1) + (x + 2)) *> expand(x2 + 3x + 2) *< exp((x + 1)(x + 2))

ii) To evaluate π to 6 digits, Maple command is: *> evalf(6Pi) ✓ *> evalf(Pi,6) *> evalf(6,Pi) *> evalf(6Pi)

iii) The interval [3,5] – (3,5) =: *∅ *(3,5) *[3,5] ✓ *[3,5]✓

iv) limx→0(1 + x)1/x =: *e *e2 *ex *ex

v) If y = tan−1√x then dy/dx =: *11+x2 *12√x(1+x) ✓ *1x+√x *11-x2

vi) The derivative of cot h−1(2x) is: *11-4x2 *11-4x2✓ *2x1-4x2 *21+4x2

vii) If f(x) = sin hx + cos hx, then f'(x) =: *0 *1 *f(x)✓ *-f(x)

viii) If S is the distance covered by a car, then d2S/dt2 will be its: *declaration *acceleration ✓ *Average velocity *Velocity

ix) Differentiation of a vector function f(k) = e2t + 1 î + sin(2t) ĵ + t2 k̂ with respect to 't' at t = 0 is: *2î + 2ĵ + 3k̂ *2ĵ + 3k̂ *2î + 3k̂ *2î + 2ĵ ✓

x) ∫−aa f(x) dx = where f(−x) = f(x) is: *0 *∫−aa f(x) dx *2a *2 ∫0a f(x) dx ✓

xi) ∫ tan 45° dx =: *sec 45° + c * ln sec 45° + c * cot 45° + c * x + c ✓

xii) The point where the medians of the triangle meet is called: *Centroid ✓ *Circumcentre *Incentre *Orthocentre

xiii) The equation of straight line which make intercepts 3 and 2 on the axes respectively is: *2x + 3y = 6 ✓ *3x + 2y = 0 *2x + 3y = 1 *3x + 2y = 3

xiv) In generally, the circle x2 + y2 + 2gx + 2fy + c = 0 is passing through the origin then: *c = 0 ✓ *g = 0 *f = 0 *g = f

xv) This radius of the circle x2 + y2 + 2gx + 2fy + c = 0: *√(g2 + f2 + c) *√(g2 − f2 + c) *√(−g2 + f2 + c) *√(g2 + f2 − c) ✓

xvi) The latus rectum of the parabola (y − 3)2 = −8(x + 4) is: *−2 *2 *8 ✓ *−8

xvii) The distance between the foci of an ellipse x2/a2 + y2/b2 = 1 is: *2a/e *2a *2ae ✓ *2b2/a

xviii) The general solution of the differential equation dy/dx = −y is:

Matric / Inter Past Papers

Punjab Educational Boards Past Papers:

KPK Educational Boards Past Papers:

University Past Papers

Class Wise Past Papers

Past Papers

Class Wise Past Papers

Entry Test Past Papers

Competitive Exams Past Papers

Technical Education Exams Past Papers

Punjab Examination Commission Past Papers

Past Papers feedback:

If you want to share some information with other students regarding past papers, you can send your valued feedback to ilmkidunya.com

Share your comments & questions here

Guest

  • No comments yet. Be the first to comment!