Assertion-Reason MCQs for Class 11 Mathematics
Assertion–Reason MCQs for Class 11 Mathematics
Class: CBSE Class 11 Mathematics
Subject: Mathematics
Section: Miscellaneous / Mixed Practice
Topic: Assertion–Reason Questions
Board: CBSE Board Examinations
Subject: Mathematics
Section: Miscellaneous / Mixed Practice
Topic: Assertion–Reason Questions
Board: CBSE Board Examinations
Instructions: These Assertion–Reason MCQs are strictly based on the NCERT syllabus and follow CBSE board exam standards. Each question tests conceptual understanding and logical reasoning.
Options Key:
A) Both Assertion and Reason are true, and Reason is the correct explanation.
B) Both true, but Reason is not the correct explanation.
C) Assertion true, Reason false.
D) Assertion false, Reason true.
A) Both Assertion and Reason are true, and Reason is the correct explanation.
B) Both true, but Reason is not the correct explanation.
C) Assertion true, Reason false.
D) Assertion false, Reason true.
1.
Assertion: Number of subsets of a set with n elements is 2ⁿ.
Reason: Each element has two choices — include or exclude.
Answer: A
Explanation: Subset formation uses binary choice principle.
Explanation: Subset formation uses binary choice principle.
2.
Assertion: Slope of horizontal line is zero.
Reason: y‑coordinates remain constant.
Answer: A
3.
Assertion: sin²θ + cos²θ = 1.
Reason: It follows from Pythagoras theorem.
Answer: A
4.
Assertion: Mean depends on all observations.
Reason: Every value contributes to total sum.
Answer: A
5.
Assertion: Probability of sure event is 1.
Reason: It always occurs.
Answer: A
6.
Assertion: Domain of polynomial is all real numbers.
Reason: No denominator restrictions exist.
Answer: A
7.
Assertion: Distance between identical points is zero.
Reason: Coordinates are same.
Answer: A
8.
Assertion: Standard deviation measures dispersion.
Reason: It uses squared deviations.
Answer: A
9.
Assertion: tanθ period is π.
Reason: tanθ = sinθ/cosθ periodicity.
Answer: A
10.
Assertion: Complement probability = 1 − P(E).
Reason: Total probability equals 1.
Answer: A
11.
Assertion: Median divides data into two equal parts.
Reason: It is positional average.
Answer: A
12.
Assertion: Variance is square of SD.
Reason: SD = √Variance.
Answer: A
13.
Assertion: Equation of x‑axis is y = 0.
Reason: All points have zero y‑coordinate.
Answer: A
14.
Assertion: Probability cannot be negative.
Reason: It measures likelihood.
Answer: A
15.
Assertion: Mean deviation uses absolute deviations.
Reason: Negative signs cancel.
Answer: A
16.
Assertion: Straight line equation ax+by+c=0.
Reason: It is general form.
Answer: A
17.
Assertion: Sample space probability is 1.
Reason: It contains all outcomes.
Answer: A
18.
Assertion: cos(0°)=1.
Reason: Adjacent = hypotenuse.
Answer: A
19.
Assertion: Range = Max − Min.
Reason: Measures spread.
Answer: A
20.
Assertion: SD uses all observations.
Reason: Based on deviations from mean.
Answer: A
