Sets Relations And Functions Question 66
Question: If $ A=
[(x,,y):x^{2}+y^{2}=25] $ and B = $ [(x,,y):x^{2}+9y^{2}=144] $ , then $ A\cap B $ contains [AMU 1996; Pb. CET 2002]
Options:
A) One point
B) Three points
C) Two points
D) Four points
Show Answer
Answer:
Correct Answer: D
Solution:
- A = Set of all values (x, y) : $ x^{2}+y^{2}=25=5^{2} $ B = $ \frac{x^{2}}{144}+\frac{y^{2}}{16}=1 $ i.e., $ \frac{x^{2}}{{{(12)}^{2}}} $ + $ \frac{y^{2}}{{{(4)}^{2}}}=1 $ . Clearly, A Ç B consists of four points.
BETA
