Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Hyperbola question

2020 · 3 Sep · Shift 1 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Hyperbola
  5. /2020 · 3 Sep · Shift 1 · Q33

Hyperbola question

2020 · 3 Sep · Shift 1 · Q33

JEE MainMathematicsHyperbolaMCQ+4 / −1
A hyperbola having the transverse axis of length 2\sqrt 22​ has the same foci as that of the ellipse 3x2 + 4y2 = 12, then this hyperbola does not pass through which of the following points?
  1. A
    (1,−12)\left( {1, - {1 \over {\sqrt 2 }}} \right)(1,−2​1​)
  2. B
    (32,12)\left( {\sqrt {{3 \over 2}} ,{1 \over {\sqrt 2 }}} \right)(23​​,2​1​)
  3. C
    (−32,1)\left( { - \sqrt {{3 \over 2}} ,1} \right)(−23​​,1)
  4. D
    (12,0)\left( {{1 \over {\sqrt 2 }},0} \right)(2​1​,0)
PreviousNext

More from Hyperbola

  • Let e1 and e2 be the eccentricities of the ellipse, 25x2​+b2y2​=1(b < 5) and the hyperbola, 16x2​−b2y2​=1 respectively satisfying e1e2 = 1. If α and β…2020 · MCQ
  • If e1 and e2 are the eccentricities of the ellipse, 18x2​+4y2​=1 and the hyperbola, 9x2​−4y2​=1 respectively and (e1, e2) is a point on the ellipse, 15x2 + 3y2 = k, then k…2020 · MCQ
  • Let 0<θ<2π​. If the eccentricity of the hyperbola cos2θx2​−sin2θy2​ = 1 is greater than 2, then the length of its latus rectum lies in the interval :2019 · MCQ
  • A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is :2019 · MCQ
  • If a directrix of a hyperbola centred at the origin and passing through the point (4, –2 3​ ) is 5x = 4 5​ and its eccentricity is e, then :2019 · MCQ
  • If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :2019 · MCQ
  • If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is :2019 · MCQ
  • A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is :2019 · MCQ