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

Prove that two parabolas y_(2)=4ax "and" x^(2)=4by intersect (other th

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

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

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