WBJEE PYQs for Conic Sections with Solutions: Practice WBJEE Previous Year Questions

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Yashodeep Mahurkar

Updated on - Dec 31, 2025

Conic Sections is an important topic in the Mathematics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.

This article gives you a full set of WBJEE PYQs for Conic Sections with explanations for effective preparation. Practice of WBJEE Mathematics PYQs including Conic Sections questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.

WBJEE PYQs for Conic Sections with Solutions

1.
Let O be the vertex, Q be any point on the parabola x²=8y. If point P divides the line segment OQ internally in the ratio 1:3, then the locus of P is
- x²=y
- y²=x
- y²=2x
- x²=2y
View Solution
2.
The maximum number of common normals of \( y^2 = 4ax \) and \( x^2 = 4by \) is equal to:
- \( 3 \)
- \( 4 \)
- \( 5 \)
- \( 6 \)
View Solution
3.
If the lines joining the focii of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) where a>b and an extremity of its minor axis is inclined at an angle 60°, then the eccentricity of the ellipse is
- \(\frac{\sqrt3}{2}\)
- \(\frac{1}{2}\)
- \(\frac{\sqrt7}{3}\)
- \(\frac{1}{\sqrt3}\)
View Solution

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WBJEE PYQs for Conic Sections with Solutions

1.Let O be the vertex, Q be any point on the parabola x2=8y. If point P divides the line segment OQ internally in the ratio 1:3, then the locus of P is

2.The maximum number of common normals of \( y^2 = 4ax \) and \( x^2 = 4by \) is equal to:

3.If the lines joining the focii of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) where a>b and an extremity of its minor axis is inclined at an angle 60°, then the eccentricity of the ellipse is

Fees Structure

Structure based on different categories

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1.
Let O be the vertex, Q be any point on the parabola x²=8y. If point P divides the line segment OQ internally in the ratio 1:3, then the locus of P is

2.
The maximum number of common normals of \( y^2 = 4ax \) and \( x^2 = 4by \) is equal to:

3.
If the lines joining the focii of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) where a>b and an extremity of its minor axis is inclined at an angle 60°, then the eccentricity of the ellipse is