Exams › GATE › General Aptitude

If y = 5x² + 3, then the tangent at x = 0, y = 3

1. passes through x = 0, y = 0
2. has a slope of +1
3. is parallel to the x-axis
4. has a slope of -1

Correct answer: is parallel to the x-axis

Solution

The tangent line at a point on a curve is parallel to the x-axis when the slope of the tangent is zero. Since the derivative of the function at x = 0 is zero, the tangent line at that point is indeed horizontal, confirming it is parallel to the x-axis.

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