Q. The number of elements in the set $\{(a,b):2a^{2} + 3b^{2} = 35,\ a,\ b \in Z\}$, where $Z$ is the set of all integers, is
A) 2
B) 4
C) 8
D) 12
Explanation
(c)
The possible sets are $\{ \pm 2,\ \pm 3\}$ and $\{ \pm 4,\ \pm 1\}$; therefore, number of elements in required set is 8.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.