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Ellipse - 2 - JEE MCQ


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30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Ellipse - 2

Ellipse - 2 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Ellipse - 2 questions and answers have been prepared according to the JEE exam syllabus.The Ellipse - 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Ellipse - 2 below.
Solutions of Ellipse - 2 questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Ellipse - 2 solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Ellipse - 2 | 30 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Ellipse - 2 - Question 1

Eccentricity of ellipse whose equation is x = 3(cos t + sin t) , y = 4(cos t – sin t) where t is parameter :

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Ellipse - 2 - Question 2


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Ellipse - 2 - Question 3


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Ellipse - 2 - Question 4

The foci of the ellipse, 25 (x + 1)2 + 9 (y + 2)2= 225 are at -

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Ellipse - 2 - Question 5

Tangents are drawn from the points on the line x – y – 5 = 0 to x2 + 4y2 = 4, then all the chords of contact pass through a fixed point, whose co-ordinates are -

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Ellipse - 2 - Question 6

The area of the rectangle formed by the perpendiculars from the centre of the standard ellipse to the tangent and normal at its point whose eccentric angle is p/4 is :

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Ellipse - 2 - Question 7


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Ellipse - 2 - Question 8


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Ellipse - 2 - Question 9

If the focal distance of an end of the minor axis of any ellipse (its axes as x and y axis respectively) is k and the distance between the foci is 2h, then its equation is-

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Ellipse - 2 - Question 10


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Ellipse - 2 - Question 11

The locus of the middle point of the intercept of the tangents drawn from an external point to the ellipse x2 + 2y2 = 2 between the coordinates axes, is-

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Ellipse - 2 - Question 12

If the distance between directrices is thrice the distance between focii of an ellipse, then its eccentricity is -

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Ellipse - 2 - Question 13


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Ellipse - 2 - Question 14


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Ellipse - 2 - Question 15


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Ellipse - 2 - Question 16

The equation of the tangents to the ellipse 4x2 + 3y2 = 5 which are parallel to the line y = 3x + 7 are

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Ellipse - 2 - Question 17

The equation of the tangents drawn at the ends of the major axis of the ellipse 9x2 + 5y2 – 30y = 0, are-

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Ellipse - 2 - Question 18


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Ellipse - 2 - Question 19


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Ellipse - 2 - Question 20


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Ellipse - 2 - Question 21


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Ellipse - 2 - Question 22

If α, β are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

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Ellipse - 2 - Question 23


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Ellipse - 2 - Question 24


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Ellipse - 2 - Question 25

If tangents are drawn to the ellipse x2 + 2y2 = 2,  then the locus of the mid-point of the intercept made by the tangents between the co-ordinate axes is –

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Ellipse - 2 - Question 26

If minor axis of an ellipse is equal to the distance between foci and length of latus rectum is 10, the equation of the ellipse will be-

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Ellipse - 2 - Question 27


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Ellipse - 2 - Question 28

If two points are taken on the minor axis of an ellipse at the same distance from the center as the foci, then the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is -

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Ellipse - 2 - Question 29

PQ is a double ordinate of the ellipse x2 + 9y2 = 9, the normal at P meets the diameter through Q at R, then the locus of midpoint of PR is–

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Ellipse - 2 - Question 30


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