KEAM SERIES Mathematics
Sections Of A Cone
15 previous year questions.
Volume: 15 Ques
Yield: Medium
High-Yield Trend
7
2026 7
2025 1
2024 Chapter Questions 15 MCQs
01
PYQ 2024
medium
mathematics ID: keam-202
Given that:
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02
PYQ 2025
medium
mathematics ID: keam-202
The eccentricity of the hyperbola is
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03
PYQ 2025
medium
mathematics ID: keam-202
The vertex of the parabola is
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04
PYQ 2025
medium
mathematics ID: keam-202
The length of major axis and minor axis of an ellipse are, respectively, and . If and the eccentricity of the ellipse is , then the length of the major axis is
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05
PYQ 2025
medium
mathematics ID: keam-202
The focus of the parabola is
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06
PYQ 2025
medium
mathematics ID: keam-202
The line segment joining the points and is the transverse axis of a hyperbola. If the length of the conjugate axis is 4, then the equation of the hyperbola is
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07
PYQ 2025
medium
mathematics ID: keam-202
The coordinates of the focus and the vertex of a parabola, respectively, are and . Then the equation of the parabola is
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08
PYQ 2025
medium
mathematics ID: keam-202
The foci of an ellipse are at (-3, 0) and (3, 0). If the eccentricity of the ellipse is 1/2, then the equation of the ellipse is:
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09
PYQ 2026
medium
mathematics ID: keam-202
If , find , where .
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PYQ 2026
medium
mathematics ID: keam-202
Let be a point and let be an ellipse. If and are the foci of the ellipse, then is equal to:
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11
PYQ 2026
medium
mathematics ID: keam-202
The equation of the latus rectum of the parabola is
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12
PYQ 2026
medium
mathematics ID: keam-202
The vertex of a parabola is at and the focus is at . The equation of the parabola is
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13
PYQ 2026
medium
mathematics ID: keam-202
Let , where is a variable parameter. Then the locus of is
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14
PYQ 2026
easy
mathematics ID: keam-202
The distance between the foci of the ellipse is}
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15
PYQ 2026
medium
mathematics ID: keam-202
The axis of the parabola is
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