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If the tangent on the point (3 , 4 ) (which is in first quadrant) of the hyperbola x^2 9 - y^2 16 =1 is perpendicular to 3 x+8 y-12=0 , then the value of is (in degree)

Correct answer

30

Step-by-step solution

Tangent on (3 , 4 ) is 3 x- 4 y=1 given that (i) is to 3 x+8 y-12=0 aligned & 4 3 ( ) ( -3 8 )=-1 & =30^ aligned

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