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Com of Solid Bodies

In what ratio...

Question

In what ratio does the x-axis divide the area of the region bounded by the parabolas $y = 4 x - x^{2}$ and $y = x^{2} - x$ ?

A

4 : 121

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B

4 : 144

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C

4 : 169

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D

4 : 100

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Solution

The correct option is A 4 : 121

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Similar questions

Q. In what ratio does the x-axis divide the area of the region bounded by the parabolas y = 4x − x² and y = x² − x?

Q. If the x-axis divide the area of the region bounded by the parabolas

y = 4 x - x^{2}

y = x^{2} - x

in the ratio of

a : b

a b

Q. In what ratio does the

x -

axis divide the area of the region bounded by the parabolas

y = 4 x - x^{2}

y = x^{2} - x

Q. Using integration find the area of the region bounded by the curves

y = \sqrt{4 - x^{2}}, x^{2} + y^{2} - 4 x = 0

and the x-axis.

Q. The parabolas

y^{2} = 4 x

x^{2} = 4 y

divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If

S_{1}, S_{2}, S_{3}

are respectively the areas of these parts numbered from top to bottom(Example:

S_{1}

is the area bounded by

y = 4

x^{2} = 4 y

S_{1}, S_{2}, S_{3}

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