CUET · MATHS · PYQ PAPER 2023

Consider the non-empty set consisting of children in a family and a relation R is defined as aRb if a is a brother of b. Then R is:

A Symmetric but not transitive
B transitive but not symmetric
C both symmetric and transitive
D neither symmetric nor transitive

Verified Solution

Answer & Solution

Correct Answer

(B) transitive but not symmetric

Step-by-step Solution

Detailed explanation

Consider symmetry: If a is a boy and b is a girl, aRb is true (a is brother of b). But bRa is false (b is not brother of a). Therefore, R is not symmetric. Consider transitivity: If aRb and bRc, then a is a brother of b, and b is a brother of c. This implies a, b, c are all boys…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Match List I with List II

LIST I	LIST II
A. \(\int_{1}^{2} \frac{\sqrt{x}}{\sqrt{3-x} + \sqrt{x}} dx\)	I. -\(\frac{1}{2}\log 3\)
B. \(\int_{1}^{2} x^2 dx\)	II. \(\frac{7}{3}\)
C. \(\int_{-4}^{-1} \frac{1}{x} dx\)	III. \(\frac{1}{2}\)
D. \(\int_{0}^{1} \frac{1}{2x-3} dx\)	IV. -\(\log 4\)

Choose the correct answer from the options given below:

CUET 2023 Medium

Explore more questions on app

From CUET

Explore more questions on app