if the curves y2=6x, 9x2+by2=16 intersect each other at right angles, then the value of b is :

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if the curves y2=6x, 9x2+by2=16 intersect each other at right angles, then the value of b is :

Snhl Umale 14th Apr, 2018

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Answer (1)

Md Bahauddin 10th Jun, 2018

Hey Snhl,

You can use this formula :> tanA=(+-) (m2-m1)/(1+m1*m2). Since curves intersect at right angle so A=90 degree.
So tanA=infinity. Then 1+m1*m2=0 this is equation 1
solve the given two equation and eliminate either x or y.

Solve the above equations, you will get your answer.

Good Luck!

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