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Parabola Maths - Parabola

CBSE - STD 11 Science - Maths (CBSE - English Medium). 65 questions in this chapter.

Question types

Parabola question types

65 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

65
Questions
5
Question groups
5
Question types
Sample Questions

Parabola questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The line $2x - y + 4 = 0$ cuts the parabola $y^2 = 8x$ in $P$ and $Q.$ The mid-point of $PQ$ is
  • A
    $(1, 2)$
  • B
    $(1, -2)$
  • ✓
    $(-1, 2)$
  • D
    $(-1, -2)$

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark
The equation of the parabola whose vertex is $(a, 0)$ and the directrix has the equation $x + y = 3a,$ is
  • A
    $x^2 + y^2 + 2xy + 6ax + 10ay + 7a^2 = 0$
  • ✓
    $x^2 - 2xy + y^2 + 6ax + 10ay - 7a^2 = 0$
  • C
    $x^2 - 2xy + y^2 - 6ax + 10ay - 7a^2 = 0$
  • D
    None of these

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark
If $V$ and $S$ are respectively the vertex and focus of the parabola $y^2 + 6y + 2x + 5 = 0,$ then $SV =$
  • A
    $2$
  • ✓
    $\frac{1}{2}$
  • C
    $1$
  • D
    None of these

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark
The coordinates of the focus of the parabola $y^2 - x - 2y + 2 = 0$ are
  • ✓
    $\Big(\frac{5}{4}, 1\Big)$
  • B
    $\Big(\frac{1}{4}, 0\Big)$
  • C
    $(1, 1)$
  • D
    None of these

Answer: A.

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Q 133 Marks Question3 Marks
Find the length of the line segment joining the vertex of the parabola $y^2 = 4ax$ and a point on the parabola where the line-segment makes an angle $\theta$ to the x-axis.
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