65. The angle between the pair of tangents drawn tothe ellipse 3x2 +2y – InterviewSolution

1.	65. The angle between the pair of tangents drawn tothe ellipse 3x2 +2y 5 from the point12(a) tan(b) tan (6/5)ortan"(12)(d) tan-1(12.5)
Answer» x^2/5/3+y^2/5/2=1y=mx+-√5m^2/3+5/2passing through (1,2)4m^2+24m-9=0M1+m2=-6and m1m2=-9/4tan^2A=(m1+m2)^2-4m1m2/(1+m1m2)^2=144/5tanA=12/√5A=tan^-1(12/√5)

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