The tangents at the extremities of the latus rectum of the ellipse 3 x 2 + 4 y 2 = 12 form a rhombus P Q R S . Area (in sq. units) of the rhombus P Q R S outside the ellipse is equal to

Question

The tangents at the extremities of the latus rectum of the ellipse 3 x 2 + 4 y 2 = 12 form a rhombus P Q R S . Area (in sq. units) of the rhombus P Q R S outside the ellipse is equal to, 8 - 2 3 π, 12 - 2 3 π, 14 - π, 16 - 2 3 π

MARKS App · Accepted Answer

One of the end of latus rectum is 1 , 3 2 Tangent at 1 , 3 2 is x + 2 y = 4 Area of rhombus = 4 1 2 ⋅ 4 ⋅ 2 = 16 Hence, the required area = 16 - 2 3 π sq. units

Search any question & find its solution

Looking for more such questions to practice?