Statement-I : If the length of the latus rectum of an ellipse is 1/3 of the major axis,then theeccentricity of the ellipse is \sqrt{2\/3} Statement-II : If a focus of an ellipse is at the origin, directrix is the line x = 4 and theeccentricity is \sqrt{2\/3} , then the length of the semi major axis is 4\sqrt6

Correct Answer is : Statement -I and Statement -II are true and Statement -II is not the correct explanation ofStatement -I.

Statement -I and Statement -II are true and Statement -II is the correct explanation ofStatement -I.

Statement -I and Statement -II are true and Statement -II is not the correct explanation ofStatement -I.

Statement -I is true, Statement -II is false.

Statement -I is false, Statement -II is true

JEE Mains Model Paper 25

Question : 82 of 90

Marks: +1, -0

Statement-I : If the length of the latus rectum of an ellipse is 1/3 of the major axis,then theeccentricity of the ellipse is √2∕3
Statement-II : If a focus of an ellipse is at the origin, directrix is the line x = 4 and theeccentricity is √2∕3 , then the length of the semi major axis is 4√6

Statement -I and Statement -II are true and Statement -II is the correct explanation ofStatement -I.
Statement -I and Statement -II are true and Statement -II is not the correct explanation ofStatement -I.
Statement -I is true, Statement -II is false.
Statement -I is false, Statement -II is true

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