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Class 11 Conic Sections worksheet
CBSE Mathematics. Circles, parabolas, ellipses and hyperbolas: foci, axes, eccentricity, equations. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The centre and radius of the circle x² + y² + 12x + 4y − 41 = 0 are:
- (−6, −2), 81
- (6, 2), 9
- (−12, −4), 9
- (−6, −2), 9
Answer
(d) (−6, −2), 9
complete the squares
- 2.
The focus of the parabola x² = 36y is:
- (0, 9)
- (9, 0)
- (0, −9)
- (0, 36)
Answer
(a) (0, 9)
4a = 36, so a = 9
- 3.
The eccentricity of the ellipse x²/25 + y²/169 = 1 is:
- 12/5
- 5/13
- 12/13
- 13/12
Answer
(c) 12/13
c = √(169 − 25) = 12; e = c/a
Section B · short answer
- 4.
Find the centre and radius of the circle x² + y² + 14x − 12y + 49 = 0.
Answer
Centre (−7, 6), radius 6
(x + 7)² + (y − 6)² = 36
- 5.
Find the equation of the circle with centre (−1, 1) that passes through (−5, 4).
Answer
x² + y² + 2x − 2y − 23 = 0
radius = √(4² + 3²) = 5
Section C · long answer
- 6.
Find the equation of the circle passing through (−13, −2), (−15, 4), (1, −4).
Answer
x² + y² + 10x − 8y − 59 = 0 (centre (−5, 4), radius 10)
substitute each point in x² + y² + Dx + Ey + F = 0 and solve for D, E, F
Fresh sheets for your child
In the app, every Conic Sections sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
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