Tangents and Normals is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.
This article gives you a full set of VITEEE PYQs for Tangents and Normals with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Tangents and Normals questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.
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VITEEE PYQs for Tangents and Normals with Solutions
1.
If the normal to the curve $y = f(x)$ at $(3,4)$ makes an angle $\frac{3 \pi}{4}$ with the positive x-axis, then $f'(3)$ is equal to- -1
- $\frac{3}{4}$
- 1
- $ - \frac{3}{4}$
2.
If \( n(A) = 4 \) and \( n(B) = 7 \), then the difference between the maximum and minimum value of \( n(A \cup B) \) is:- 1
- 2
- 3
- 4
3.
If the tangent to the function $y = f(x) $ at $(3,4)$ makes an angle of $\frac{3 \pi }{4}$ with the positive direction of x-axis in anticlockwise direction then $f ' (3)$ is- -1
- 1
- $\frac{1}{\sqrt{3}}$
- $\sqrt{3}$
4.
If \( 12\cot^2 \theta - 31\csc \theta + 32 = 0 \), then the value of \( \sin \theta \) is:- \( \frac{3}{5} \) or 1
- \( \frac{2}{3} \) or \( -\frac{2}{3} \)
- \( \frac{4}{5} \) or \( \frac{3}{4} \)
- \( \pm \frac{1}{2} \)
5.
The triangle formed by the tangent to the curve $f (x) = x2 + bx - b$ at the point $(1,1)$ and the coordinate axes lies in the first quadrant. If its area is $2$, then the value of b is- -1
- 3
- -3
- 1
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