NIMCET 2023 Mathematics Question 112 with Solution

Question 112

Mathematics Tangents and Normals Hard

The equation of the tangent at any point of curve \(x=a cos2t, y=2\sqrt{2} a sint\) with \(m\) as its slope is

(A) \(y=mx+a(m-\frac{1}{m})\)

(B) \(y=mx-a(m+\frac{1}{m})\)

(C) \(y=mx+a(a+\frac{1}{a})\)

(D) \(y=amx+a(m-\frac{1}{m})\)

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Correct Solution: Option B

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