The tangent to the curve y = e^x drawn at the point (c, e^c) intersects the line joining the points (c - 1, e^ c-1 ) and (c + 1, e^ c+1 )

JEE Advanced 2007 Mathematics question

The tangent to the curve drawn at the point intersects the line joining the points and

Answer: (A)

Slope of the tangent at : . Slope of the chord: (since ). At x = c the chord's height

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Question ID VK-037451