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Q.

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=x2−1below the x-axis, is:

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a

43

b

133

c

433

d

233

answer is C.

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Detailed Solution

Area =2aa2-1A=2a1-a2 for maxdAda=2-6a2=0a=±13d2 Ada2=-12a <0 For max,  a=13 So area= 231-13433
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