Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2021MathematicsEllipseActual

The eccentricity of the ellipse whose major axis is three times the minor axis is:

Options

  1. A2 3
  2. B3 2
  3. C2 2 3
  4. D2 3

Correct answer

C. 2 2 3

Step-by-step solution

Let a be the major axis and b , the minor axis of the ellipse, then 3 minor axis = major axis. 3 b=a Eccentricity is given by: array l b²=a² (1-e² ) b²=9 b² (1-e² ) 1 9 = (1-e² ) e²= 8 9 e= 2 2 3 array

Practice Ellipse on Quantrex Academy →

More from Ellipse

An ellipse has OB as semi minor axis, F and F ^ its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is 2021If x ma + y nb =1 touches the ellipse x² a² + y² b² =1, then 2020If the length of the major axis of the ellipse x 2 a 2 + y 2 b 2 = 1 is three times the length of minor axis, its eccentricity is 2019The locus of the foot of perpendicular drawn from the centre of the ellipse x 2 + 3 y 2 = 6 on any tangent to it is 2019The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x 2 + 9 y 2 = 9 meets its auxiliary circle at the point M . Then, the ar 2018If p and p ' denote the lengths of the perpendicular from a focus and the centre of an ellipse with semi-major axis of length a , respectively, on a tangent to the ellipse and r de 2017The eccentricity of an ellipse, with its centre at the origin, is 1 / 2 . If one of the directrices is x =4 then the equation of the ellipse is: 2015An ellipse has O B as semi minor axis, F and F^ its focii and the angle F B F^ is a right angle. Then the eccentricity of the ellipse is 2013 Full Ellipse list All BITSAT PYQs