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If A is the area of the region bounded by the curve y = 3x+4, X-axis and the lines x = -1 and x = 4 and B is that area bounded by curve y2 = 3x + 4, X-axis and the lines x = -1 and x = 4, then A : B

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Question

If A is the area of the region bounded by the curve y = `sqrt(3x + 4)`, X-axis and the lines x = -1 and x = 4 and B is that area bounded by curve y2 = 3x + 4, X-axis and the lines x = -1 and x = 4, then A : B is equal to ______

Options

  • 1 : 1

  • 2 : 1

  • 1 : 2

  • None of these

MCQ
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Solution

If A is the area of the region bounded by the curve y = `sqrt(3x + 4)`, X-axis and the lines x = -1 and x = 4 and B is that area bounded by curve y2 = 3x + 4, X-axis and the lines x = -1 and x = 4, then A : B is equal to 1 : 1.

Explanation:

In both cases, the area will be same.

∴ A : B = 1 : 1

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