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Prove that two parabolas y(2)=4ax "and" ...

Prove that two parabolas `y_(2)=4ax "and" x^(2)=4by` intersect (other than the origin )
at an angle of ` Tan^(-1)[(3a^(1//3)b^(1//3))/(2(a^(2//3)+b^(2//3)))]` .

Text Solution

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The correct Answer is:
So that `theta=tan^(-1)[(3a^(1//3)b^(1//3))/(2(a^(2//3)+b^(2//3)))]`
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