Conic Sections
179 Maharashtra State Board Class 11 Mathematics practice questions with answers and worked solutions.
- Difficulty: 34 easy · 116 moderate · 29 hard.
- Most-asked subtopics: Hyperbola — Standard Equation and Properties (35), Ellipse — Standard Equation and Properties (31), Tangents to an Ellipse (29).
- Updated 16 August 2026.
- Set · 2 questionsFind the coordinates of the focus, equation of the directrix, length of latus rectum and coordinates of end points of latus rectum of each of the following parabolas.
#1Parabola — Standard Equation and Tracing
#2Parabola — Other Standard and Parametric Forms
#3Parabola — Other Standard and Parametric Forms
#4Parabola — Standard Equation and Tracing
#5Parabola — Standard Equation and Tracing
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#6Parabola — Standard Equation and Tracing
#7Parabola — Other Standard and Parametric Forms
#8Parabola — Other Standard and Parametric Forms
#9Tangents to a Parabola
#10Tangents to a Parabola
#11Tangents to a Parabola
- Set · 5 questionsFind co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola.
#12Parabola — Standard Equation and Tracing
#13Parabola — Other Standard and Parametric Forms
#14Parabola — Other Standard and Parametric Forms
#15Parabola — Other Standard and Parametric Forms
#16Parabola — Other Standard and Parametric Forms
#17Parabola — Other Standard and Parametric Forms
#18Parabola — Standard Equation and Tracing
#19Parabola — Other Standard and Parametric Forms
- Set · 2 questionsFind the equation of the parabola with vertex at the origin, axis along X-axis and passing through the point.
#20Parabola — Standard Equation and Tracing
#21Parabola — Standard Equation and Tracing
- Set · 2 questionsFor the parabola , find the parameter of the point.
#22Parabola — Other Standard and Parametric Forms
#23Parabola — Other Standard and Parametric Forms
#24Parabola — Standard Equation and Tracing
- Set · 2 questionsFind coordinate of the point on the parabola. Also find focal distance.
#25Parabola — Other Standard and Parametric Forms
#26Parabola — Other Standard and Parametric Forms
#27Parabola — Standard Equation and Tracing
#28Parabola — Standard Equation and Tracing
#29Parabola — Other Standard and Parametric Forms
#30Parabola — Standard Equation and Tracing
#31Parabola — Other Standard and Parametric Forms
- Set · 2 questionsFind the equation of tangent to the parabola.
#32Tangents to a Parabola
#33Tangents to a Parabola
#34Tangents to a Parabola
#35Tangents to a Parabola
#36Tangents to a Parabola
#37Tangents to a Parabola
#38Parabola — Standard Equation and Tracing
#39Parabola — Other Standard and Parametric Forms
- Set · 4 questionsFind the coordinates of the foci, the vertices, the length of major axis, the eccentricity and the length of the latus rectum of the ellipse
#40Ellipse — Standard Equation and Properties
#41Ellipse — Standard Equation and Properties
#42Ellipse — Standard Equation and Properties
#43Ellipse — Standard Equation and Properties
#44Ellipse — Standard Equation and Properties
#45Ellipse — Standard Equation and Properties
- Set · 2 questionsFind the equation of tangent to the ellipse
#46Tangents to an Ellipse
#47Tangents to an Ellipse
#48Tangents to an Ellipse
#49Tangents to an Ellipse
- Set · 1 questionFind the (i) lengths of the principal axes. (ii) co-ordinates of the focii (iii) equations of directrics (iv) length of the latus rectum (v) distance between focii (vi) distance between directrices of the ellipse:
#50Ellipse — Standard Equation and Properties
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