Home Maths Quadratic Equations JEE Main 2023 The number of points, where the curve f(x) =…
Maths Quadratic Equations JEE Main 2023 Numeric Response
Published on: August 13, 2026

The number of points, where the curve f(x) = e 8x - e 6x - 3e 4x - e 2x + 1, x R cuts x-axis, is equal to............

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The correct answer is:
2

(2)

Given,

Now

So, the equation becomes

, ignoring negative sign as exponential function are positive,

Now

which is quadratic equation in e 2x with upward parabola,

Now by A. M G. M we get,

So, , hence it will cut at two distinct point,

Hence, there will be two solution.

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