Q. 325.0( 1 Vote )

Find the area bou

To find area bounded by

X = y2 …(i)

And

X = 3 – 2y2 …(ii)

On solving the equation (i) and (ii),

y2 = 3 – 2y2

Or 3y2 = 3

Or y = 1

When y = 1 then x = 1 and when y = – 1 then x = 1

Equation (i) represents an upward parabola with vertex (0, 0) and axis – y.

Equation (ii) represents a parabola with vertex (3, 0) and axis as x – axis.

They intersect at A (1, – 1) and C (1, 1)

These are shown in the graph below: - Required area = Region OABCO

= 2 Region OBCO

= 2[Region ODCO + Region BDCB]      The area bounded by the curves x = y2 and x = 3 – 2 y2 is Rate this question :

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