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

Ellipse question

2008 · Shift 0 · Q45
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Ellipse
  5. /2008 · Shift 0 · Q45

Ellipse question

2008 · Shift 0 · Q45

JEE MainMathematicsEllipseMCQ+4 / −1
A focus of an ellipse is at the origin. The directrix is the line x=4x=4x=4 and the eccentricity is 12{{1 \over 2}}21​. Then the length of the semi-major axis is :
  1. A
    83{{8 \over 3}}38​
  2. B
    23{{2 \over 3}}32​
  3. C
    43{{4 \over 3}}34​
  4. D
    53{{5 \over 3}}35​
PreviousNext

More from Ellipse

  • 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
  • If S and S′ are the foci of the ellipse 18x2​+9y2​=1 and P be a point on the ellipse, then min(SP⋅S′P)+max(SP⋅S′P) is equal to :2025 · MCQ
  • If the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of the ellipse is :2025 · MCQ
  • A line passing through the point P(5​,5​) intersects the ellipse 36x2​+25y2​=1 at A and B such that (PA)⋅(PB) is maximum. Then 5(PA2+PB2) is equal to :2025 · MCQ
  • Let C be the circle of minimum area enclosing the ellipse E:a2x2​+b2y2​=1 with eccentricity 21​ and foci (±2,0). Let PQR be a variable triangle, whose vertex P is on the circle C and the…2025 · MCQ
  • The length of the latus-rectum of the ellipse, whose foci are (2,5) and (2,−3) and eccentricity is 54​, is2025 · MCQ