Question
If area bounded by the curves y2=4ax and y=mx is a23 then the value of m is
Answer: Option A
:
A
The two curves y2 = 4ax and y = mx intersect at (4am2,4am) and the area enclosed by the two curves is given by ∫4am20(√4ax−mx)dx
∴∫4am20(√4ax−mx)dx=a23
⇒83a2m3=a23⇒m3=8⇒m=2
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:
A
The two curves y2 = 4ax and y = mx intersect at (4am2,4am) and the area enclosed by the two curves is given by ∫4am20(√4ax−mx)dx
∴∫4am20(√4ax−mx)dx=a23
⇒83a2m3=a23⇒m3=8⇒m=2
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