The value of maximum area possible of a DABC such that A(0, 0) and B(x, y) and C(–x, y) such that y = –2x2 + 54x is (in sq. unit)
The value of maximum area possible of a DABC such that A(0, 0) and B(x, y) and C(–x, y) such that y = –2x2 + 54x is (in sq. unit)
Option 1 -
5800
Option 2 -
5832
Option 3 -
5942
Option 4 -
6008
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1 Answer
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Correct Option - 2
Detailed Solution:Area of ?
->
->Area (D) = |xy| = |x (– 2x2 + 54x)|
at x = 0 and 18
->at x = 0, minima
and at x = 18 maxima
Area (D) = |18 (– 2 (18)2 + 54 × 18)| = 5832
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