Question types

STD 11 - 10.2 parabola,ellipse,hyperbola question types

1,066 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

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Sample Questions

STD 11 - 10.2 parabola,ellipse,hyperbola questions

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

The centre of the conic represented by the equation $2{x^2} - 72xy + 23{y^2} - 4x - 28y - 48 = 0$ is
  • A
    $\left( {\frac{{11}}{{15}},\;\frac{2}{{25}}} \right)$
  • B
    $\left( {\frac{2}{{25}},\;\frac{{11}}{{25}}} \right)$
  • C
    $\left( {\frac{{11}}{{15}},\; - \frac{2}{{25}}} \right)$
  • $\left( { - \frac{{11}}{{25}},\; - \frac{2}{{25}}} \right)$

Answer: D.

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The equation of the conic with focus at $(1, -1)$, directrix along $x - y + 1 = 0$ and with eccentricity $\sqrt 2 $ is
  • A
    ${x^2} - {y^2} = 1$
  • B
    $xy = 1$
  • $2xy - 4x + 4y + 1 = 0$
  • D
    $2xy + 4x - 4y - 1 = 0$

Answer: C.

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If a point $(x,\;y) \equiv (\tan \theta + \sin \theta ,\;\tan \theta - \sin \theta )$, then locus of $(x, y)$ is
  • A
    ${({x^2}y)^{2/3}} + {(x{y^2})^{2/3}} = 1$
  • B
    ${x^2} - {y^2} = 4xy$
  • ${({x^2} - {y^2})^2} = 16xy$
  • D
    ${x^2} - {y^2} = 6xy$

Answer: C.

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Equation $\sqrt {{{(x - 2)}^2} + {y^2}} + \sqrt {{{(x + 2)}^2} + {y^2}} = 4$ represents
  • A
    Parabola
  • B
    Ellipse
  • C
    Circle
  • Pair of straight lines

Answer: D.

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