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Tangents and Normals is an important topic in the Mathematics section in CUET exam. Practising this topic will increase your score overall and make your conceptual grip on CUET exam stronger.
This article gives you a full set of CUET PYQs for Tangents and Normals with explanations for effective preparation. Practice of CUET Mathematics PYQs including Tangents and Normals questions regularly will improve accuracy, speed, and confidence in the CUET 2026 exam.
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CUET PYQs for Tangents and Normals with Solutions
1.
The tangent to the curve \(x=cost(3-2cos^2t),y=sint(3-2sin^2t)\) at \(t=\frac{\pi}{4}\),makes with the \(x-axis\) an angle:- 0
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{6}\)
- \(\frac{\pi}{3}\)
2.
The points on the curve \(\frac{x^2}{9} + \frac{y^2}{16} = 1\) at which the tangents are parallel to x-axis:- (0,4), (0,-4)
- (0, 0), (0,-4)
- (4, 0), (-4, 0)
- (0, 0), (0, 4)
3.
PQ and RS are common tangents to two circles intersecting at points A and B. A and B, when produced on both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is:- 4 cm
- 2 cm
- 3 cm
- 6 cm
4.
Angle between tangents to the curve y=x2-5x+6 at the points (2, 0) and (3, 0) is:- 0°
- 45°
- 60°
- 90°
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