Let A(3/(a), a), a > 0, be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If D(3 cos θ,a sin θ) is a point in the fourth quadrant such that the maximum area of Δ ACD is 12 square units, then a is equal to _ _ _ _ _ _.

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Morning shift · Q49

JEE Main 202224 Jun, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

A\left( {{3 \over {\sqrt a }},\sqrt a } \right),\,a > 0

, be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If

D(3\cos \theta ,a\sin \theta )

is a point in the fourth quadrant such that the maximum area of

\Delta

ACD is 12 square units, then a is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Coordinate Geometry Question with Answer (24 Jun Morning shift, Q49) | JEE Arc