Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q114

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

Let for two distinct values of

p

the lines

y = x + p

touch the ellipse

E:\;\frac{x^2}{4}+\frac{y^2}{3}=1

at the points

A

and

B

. Let the line

y = x

intersect

E

at the points

C

and

D

. Then the area of the quadrilateral

ABCD

is equal to:

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JEE Main 2025 Coordinate Geometry Question with Solution (April Unspecified (session-level dataset), Q114) | JEE Arc

JEE Main 2025 · April, Unspecified (session-level dataset) · Q114

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

Let for two distinct values of

p

the lines

y = x + p

touch the ellipse

E:\;\frac{x^2}{4}+\frac{y^2}{3}=1

at the points

A

and

B

. Let the line

y = x

intersect

E

at the points

C

and

D

. Then the area of the quadrilateral

ABCD

is equal to: