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 :

Question

Aicharya · Accepted Answer

A ( &#945; , 0 ) , &#946; ( - &#945; , 0 ) &#8658; D &#945; , &#945; 2 - 1 A r e a &#160; ( A B C D ) &#160; = &#160; ( A B ) &#160; ( A D ) &#8658; S = ( 2 &#945; ) 1 - &#945; 2 = 2 &#945; - 2 &#945; 3 d s d &#945; = 2 - 6 &#945; 2 = 0 &#8658; &#945; 2 = 1 3 &#8658; &#945; = 1 3 &#160;Area&#160; = 2 &#945; - 2 &#945; 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…

Solution