The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y=x^2-1 below…

Question

The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y=x^2-1 below the x-axis, is :

MARKS Content Team · Accepted Answer

Correct answer: (D) 4/(3√3). A(α,0),β(-α,0) ⇒Dα,α^2-1 Area (ABCD) = (AB) (AD) ⇒S=(2α)1-α^2=2α-2α^3 ds/(dα)=2-6α^2=0⇒α^2=1/3⇒α=(1√3 Area =2α-2α^3=2√3-2)/(3√3)=4/(3√3)

The area (in sq. units) of the largest rectangle $A B C D$ whose vertices $A$ and $B$ lie on the $x$ -axis and vertices $C$ and $D$ lie on the parabola, $y = x^{2} - 1$ below the $x$ -axis, is :

Solution

Relevant Questions

The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y=x2-1 below the x-axis, is :

Solution

Relevant Questions

The area (in sq. units) of the largest rectangle $A B C D$ whose vertices $A$ and $B$ lie on the $x$ -axis and vertices $C$ and $D$ lie on the parabola, $y = x^{2} - 1$ below the $x$ -axis, is :