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

Ellipse question

2014 · Shift 0 · Q36
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Ellipse
  5. /2014 · Shift 0 · Q36

Ellipse question

2014 · Shift 0 · Q36

JEE MainMathematicsEllipseMCQ+4 / −1
The locus of the foot of perpendicular drawn from the centre of the ellipse x2+3y2=6{x^2} + 3{y^2} = 6x2+3y2=6 on any tangent to it is :
  1. A
    (x2+y2)2=6x2+2y2\left( {{x^2} + {y^2}} \right) ^2 = 6{x^2} + 2{y^2}(x2+y2)2=6x2+2y2
  2. B
    (x2+y2)2=6x2−2y2\left( {{x^2} + {y^2}} \right) ^2 = 6{x^2} - 2{y^2}(x2+y2)2=6x2−2y2
  3. C
    (x2−y2)2=6x2+2y2\left( {{x^2} - {y^2}} \right) ^2 = 6{x^2} + 2{y^2}(x2−y2)2=6x2+2y2
  4. D
    (x2−y2)2=6x2−2y2\left( {{x^2} - {y^2}} \right) ^2 = 6{x^2} - 2{y^2}(x2−y2)2=6x2−2y2
PreviousNext

More from Ellipse

  • The equation of the circle passing through the foci of the ellipse 16x2​+9y2​=1, and having centre at (0,3) is :2013 · MCQ
  • An ellipse is drawn by taking a diameter of thec circle (x−1)2+y2=1 as its semi-minor axis and a diameter of the circle x2+(y−2)2=4 is semi-major axis. If the centre of the…2012 · MCQ
  • Equation of the ellipse whose axes of coordinates and which passes through the point (−3,1) and has eccentricity 52​​ is :2011 · MCQ
  • The ellipse x2+4y2=4 is inscribed in a rectangle aligned with the coordinate axex, which in turn is inscribed in another ellipse that passes through the point (4,0). Then the equation of the ellipse is :2009 · MCQ
  • A focus of an ellipse is at the origin. The directrix is the line x=4 and the eccentricity is 21​. Then the length of the semi-major axis is :2008 · MCQ
  • In the ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is :2006 · MCQ
  • An ellipse has OB as semi minor axis, F and F' its focii and theangle FBF' is a right angle. Then the eccentricity of the ellipse is :2005 · MCQ
  • The eccentricity of an ellipse, with its centre at the origin, is 21​. If one of the directrices is x=4, then the equation of the ellipse is :2004 · MCQ