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

Ellipse question

2023 · 15 Apr · Shift 1 · Q39
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Ellipse
  5. /2023 · 15 Apr · Shift 1 · Q39

Ellipse question

2023 · 15 Apr · Shift 1 · Q39

JEE MainMathematicsEllipseNumerical+4 / −1
Let an ellipse with centre (1,0)(1,0)(1,0) and latus rectum of length 12\frac{1}{2}21​ have its major axis along x\mathrm{x}x-axis. If its minor axis subtends an angle 60∘60^{\circ}60∘ at the foci, then the square of the sum of the lengths of its minor and major axes is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Ellipse

  • Let C be the largest circle centred at (2, 0) and inscribed in the ellipse 36x2​+16y2​=1. If (1, α) lies on C, then 10 α2 is equal to ​2023 · Numerical
  • Let the maximum area of the triangle that can be inscribed in the ellipse a2x2​+4y2​=1,a>2, having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel…2022 · MCQ
  • If the ellipse a2x2​+b2y2​=1 meets the line 7x​+26​y​=1 on the x-axis and the line 7x​−26​y​=1 on the y-axis, then the eccentricity of the ellipse is :2022 · MCQ
  • The line y = x + 1 meets the ellipse 4x2​+2y2​=1 at two points P and Q. If r is the radius of the circle with PQ as diameter then (3r)2 is equal to :2022 · MCQ
  • The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse x2+2y2=4 is an ellipse with eccentricity :2022 · MCQ
  • If the length of the latus rectum of the ellipse x2+4y2+2x+8y−λ=0 is 4 , and l is the length of its major axis, then λ+l is equal to ​.2022 · Numerical
  • Let the eccentricity of an ellipse a2x2​+b2y2​=1, a>b, be 41​. If this ellipse passes through the point (−452​​,3), then a2+b2 is…2022 · MCQ
  • Let a line L pass through the point of intersection of the lines bx+10y−8=0 and 2x−3y=0, b∈R−{34​}. If the line L also passes through the point (1,1) and touches the circle…2022 · MCQ