If the points of intersection of two distinct conics x²+y²=4 b and (x²)/16+(y²)/(b²)=1 lie on the curve y²=3 x², then 3 √(3) times the area of the rectangle formed by the intersection points is _ _ _ _ _.

Integral Calculus: JEE Main 2024 Mathematics question

JEE Main 2024 · 29 Jan, Morning shift · Q32

JEE Main 202429 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

If the points of intersection of two distinct conics

x^2+y^2=4 b

and

\frac{x^2}{16}+\frac{y^2}{b^2}=1

lie on the curve

y^2=3 x^2

, then

3 \sqrt{3}

times the area of the rectangle formed by the intersection points is _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2024 Integral Calculus Question with Answer (29 Jan Morning shift, Q32) | JEE Arc