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

Hyperbola question

2017 · Shift 1 · Q22
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Mathematics
  4. /Hyperbola
  5. /2017 · Shift 1 · Q22

Hyperbola question

2017 · Shift 1 · Q22

JEE AdvancedMathematicsHyperbolaMultiple correct+4 / −1
If 2x−y+1=02x - y + 1 = 02x−y+1=0 is a tangent to the hyperbola x2a2−y216=1{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {16}} = 1a2x2​−16y2​=1 then which of the following CANNOT be sides of a right angled triangle?
  1. A
    a, 4, 1
  2. B
    2a, 4, 1
  3. C
    a, 4, 2
  4. D
    2a, 8, 1
PreviousNext

More from Hyperbola

  • 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
  • Consider the hyperbola H:x2−y2=1 and a circle S with center N(x2​,0). Suppose that H and S touch each other at a point P(x1​,y1​) with x1​>1 and y1​>0. The…2015 · Multiple correct
  • Tangents are drawn to the hyperbola 9x2​−4y2​=1, parallel to the straight line 2x−y=1, The points of contact of the tangents on the hyperbola are2012 · Multiple correct
  • Let the eccentricity of the hyperbola a2x2​−b2y2​=1 be reciprocal to that of the ellipse x2+4y2=4. If the hyperbola passes through a focus of the ellipse, then2011 · Multiple correct
  • Let P(6,3) be a point on the hyperbola a2x2​−b2y2​=1. If the normal at the point P intersects the x-axis at (9,0), then the eccentricity of the hyperbola is2011 · MCQ
  • The circle x2+y2−8x=0 and hyperbola 9x2​−4y2​=1 intersect at the points A and B. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is2010 · MCQ
  • The circle x2+y2−8x=0 and hyperbola 9x2​−4y2​=1 intersect at the points A and B. Equation of the circle with AB as its diameter is2010 · MCQ