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Parabola MATHS - Parabola

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - 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 focus of the parabola y = 2x2 + x is
  1. $(0, 0)$
  2. $\Big(\frac{1}{2}, \frac{1}{4}\Big)$
  3. $\Big(-\frac{1}{4},0\Big)$
  4. $\Big(-\frac{1}{4}, \frac{1}{8}\Big)$
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Q 2M.C.Q (1 Marks)1 Mark
If the coordinates of the vertex and the focus of a parabola are (-1, 1) and (2, 3) respectively, then the equation of its directrix is
  1. 3x + 2y + 14 = 0
  2. 3x + 2y - 25 = 0
  3. 2x - 3y + 10 = 0
  4. None of these
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Q 4M.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
  1. x2 + y2 + 2xy + 6ax + 10ay + 7a2 = 0
  2.  x2 - 2xy + y2 + 6ax + 10ay - 7a2 = 0
  3.  x2 - 2xy + y2 - 6ax + 10ay - 7a2 = 0
  4. None of these
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Q 133 Marks Question3 Marks
Find the length of the line segment joining the vertex of the parabola y2 = 4ax and a point on the parabola where the line-segment makes an angle $\theta$ to the x-axis.
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