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Question

If the line 25x+12y45=0 meets the hyperbola 25x29y2=225 only at point (a,5λ3), then the value of a+λ is

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Solution

The equation ofgiven line is 25x+12y45=0,
y=2512x+154
point of contact is
(a2mc,b2c)(5,203)5λ3=203λ=4,a=5

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