If $A=[(x,y):x^2+y^2=25]$ and $B=[(x,y):

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $A=[(x,y):x^2+y^2=25]$ and $B=[(x,y):x^2+9y^2=144]$, then A ∩ B contains.

Options:

2 points

3 points

4 points

5 points

Correct Answer:

4 points

Explanation:

$x^2+y^2=25$

$⇒x^2+y^2=5^2$

$x^2+9y^2=144$

$⇒\frac{x^2}{12^2}+\frac{y^2}{4^2}=1$

P, Q, R, S are four points of intersection.

Clearly, A ∩ B consists of four points.