If the line 4x+3y=7 touches the hyperbola x^2-y^2=7 then the sum of the co-ordinates of the point of contact is...

MHT CET 2026 Mathematics question

If the line touches the hyperbola then the sum of the co-ordinates of the point of contact is...

(A)4
(B)7
(C)1Correct
(D)0

Answer: (C)

Solution

Let the point of contact be . The tangent to at it is . This must be the same line as , so comparing coefficients: , giving , . Check: lies on the hyperbola

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Question ID VK-098664