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Question

If area bounded by the curves y2=4ax and y=mx is a23 then the value of m is


A
2
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B
-2
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C

12

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D
None of these
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Solution

The correct option is A 2

The two curves y2 = 4ax and y = mx intersect at (4am2,4am) and the area enclosed by the two curves is given by 4am20(4 axmx)dx
4am20(4axmx)dx=a23
83a2m3=a23m3=8m=2


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