If the line ax+by+5=0 is a normal to the curve xy=1 then….

MHT CET 2026 Mathematics question

Mathematics Application of Derivatives MHT CET 2026

If the line is a normal to the curve then….

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

For , i.e. , , which is always negative, so the slope of the tangent at any point is negative. The slope of the normal is the negative reciprocal: (always positive, and finite, so the normal can never be vertical or horizontal). The line has slope

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Question ID VK-101690