\( R_{1}=\left\{(x, y)(x, y \in R) \\\\ x^{2}+y^{2} \leq 25\right\}=R_{1} \) , \( R_{2}=\left\{(x, y) (x, y \in R) \\\\ 9 y \geq 4 x^{2}\right\}=R_{2} \) \( \mathrm{R}_{1} \cap \mathbf{R}_{2} \)
\(R_1\) is the set of points inside the circle \(x^2 + y^2 \le 25\), and \(R_2\) is the region on or above the parabola \(9y \ge 4x^2\).
\(R_1 \cap R_2\) is a region in the plane. For one value of \(x\) there are many values of \(y\) (for example, \(x = 0\) gives every \(y\) from 0 to 5). So it is not even a function, and the words one-one or onto don't apply to it.
Answer: (D) None of these
Reinforce your conceptual grasp with related questions from MAH MCA CET 2023:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →