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

Hyperbola question

2008 · Shift 2 · Q36
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Mathematics
  4. /Hyperbola
  5. /2008 · Shift 2 · Q36

Hyperbola question

2008 · Shift 2 · Q36

JEE AdvancedMathematicsHyperbolaMCQ+3 / −1
Consider a branch of the hyperbola x2−2y2−22x−42y−6=0{x^2} - 2{y^2} - 2\sqrt 2 x - 4\sqrt 2 y - 6 = 0x2−2y2−22​x−42​y−6=0 with vertex at the point AAA. Let BBB be one of the end points of its latus rectum. If CCC is the focus of the hyperbola nearest to the point AAA, then the area of the triangle ABCABCABC is
  1. A
    1−231 - \sqrt {{2 \over 3}}1−32​​
  2. B
    32−1\sqrt {{3 \over 2}} - 123​​−1
  3. C
    1+231 + \sqrt {{2 \over 3}}1+32​​
  4. D
    32+1\sqrt {{3 \over 2}} + 123​​+1
PreviousNext

More from Hyperbola

  • A hyperbola, having the transverse axis of the length 2sinθ, is confocal with the ellipse 3x2+4y2=12. Then its equation is2007 · MCQ
  • Consider the hyperbola 100x2​−64y2​=1 with foci at S and S1​, where S lies on the positive x-axis. Let P be a point on the hyperbola, in the first quadrant. Let ∠SPS1​=α, with α<2π​…2022 · Numerical
  • Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first quadrant that lies on the hyperbola a2x2​−b2y2​=1. Suppose the tangent to the hyperbola at P…2020 · Multiple correct
  • Let T be the line passing through the points P(− 2, 7) and Q(2, − 5). Let F1 be the set of al pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point,…2018 · Multiple correct
  • Let H:a2x2​−b2y2​=1, where a > b > 0, be a hyperbola in the XY-plane whose conjugate axis LM subtends an angle of 60 ∘ at one of its vertices N. Let the area of the Δ LMN be 43​… Includes table2018 · MCQ
  • If 2x−y+1=0 is a tangent to the hyperbola a2x2​−16y2​=1 then which of the following CANNOT be sides of a right angled triangle?2017 · Multiple correct
  • By appropriately matching the information given in the three columns of the following table. Columns 1, 2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively. For a=2​, if a tangent is… Includes table2017 · MCQ
  • By appropriately matching the information given in the three columns of the following table. Columns 1, 2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively. The tangent to a suitable conic… Includes table2017 · MCQ