CUET Mathematics 2022 30 Aug Shift 1 PYQs

The domain of $y = \cos^{-1}(x^2 - 4)$ is

The Relation $R = \{(x, y) : x \leq y^2\}$ defined on the set $\mathbf{R}$ of Real numbers is :

(A) reflexive but not symmetric

(B) neither reflexive nor symmetric

(C) neither reflexive nor transitive

(D) reflexive but not transitive

(E) not reflexive but symmetric

Choose the correct answer from the options given below :

The value of $\left|\frac{\log_5 10}{2} - \frac{2}{\log_{10} 5}\right|$ is