The area of the closed figure bounded by y=2x2−2x+2 and the tangents to it at (1,21) and (4,2) is (A) 89 sq.unit (B) 83 sq.units (C) 23 sq.units (D) 49 sq.units

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The area of the closed figure bounded by {y}={{{x}^{{2}}}}{{2}

Question

The area of the closed figure bounded by $y = \frac{x ^{2}}{2} - 2 x + 2$ and the tangents to it at $(1, \frac{1}{2})$ and $(4, 2)$ is (A) $\frac{9}{8}$ sq.unit (B) $\frac{3}{8}$ sq.units (C) $\frac{3}{2}$ sq.units (D) $\frac{9}{4}$ sq.units

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The area of the closed figure bounded by

y = \frac{x ^{2}}{2} - 2 x + 2

and the tangents to it at

(1, \frac{1}{2})

and

(4, 2)

is (A)

\frac{9}{8}

sq.unit (B)

\frac{3}{8}

sq.units (C)

\frac{3}{2}

sq.units (D)

\frac{9}{4}

sq.units

7 mins ago

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