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

Ellipse question

2021 · 22 Jul · Shift 2 · Q37
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Ellipse
  5. /2021 · 22 Jul · Shift 2 · Q37

Ellipse question

2021 · 22 Jul · Shift 2 · Q37

JEE MainMathematicsEllipseMCQ+4 / −1
Let E1:x2a2+y2b2=1,a>b{E_1}:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1,a \gt bE1​:a2x2​+b2y2​=1,a>b. Let E2 be another ellipse such that it touches the end points of major axis of E1 and the foci of E2 are the end points of minor axis of E1. If E1 and E2 have same eccentricities, then its value is :
  1. A
    −1+52{{ - 1 + \sqrt 5 } \over 2}2−1+5​​
  2. B
    −1+82{{ - 1 + \sqrt 8 } \over 2}2−1+8​​
  3. C
    −1+32{{ - 1 + \sqrt 3 } \over 2}2−1+3​​
  4. D
    −1+62{{ - 1 + \sqrt 6 } \over 2}2−1+6​​
PreviousNext

More from Ellipse

  • If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is :2021 · MCQ
  • Let an ellipse E:a2x2​+b2y2​=1, a2>b2, passes through (23​​,1) and has eccentricity 3​1​. If a circle, centered at focus…2021 · MCQ
  • If x2 + 9y2 − 4x + 3 = 0, x, y ∈ R, then x and y respectively lie in the intervals :2021 · MCQ
  • A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this reflected ray is the directrix of an ellipse with eccentricity 31​ and the distance of the nearer focus from…2021 · MCQ
  • The locus of mid-points of the line segments joining (− 3, − 5) and the points on the ellipse 4x2​+9y2​=1 is :2021 · MCQ
  • Let a2x2​+b2y2​=1(a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function, $$\phi \left( t \right) = {5 \over {12}} + t -…2020 · MCQ
  • If the co-ordinates of two points A and B are (7​,0) and (−7​,0) respectively and P is any point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :2020 · MCQ
  • If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is :2020 · MCQ