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Ellipse - 1 - JEE MCQ


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30 Questions MCQ Test - Ellipse - 1

Ellipse - 1 for JEE 2024 is part of JEE preparation. The Ellipse - 1 questions and answers have been prepared according to the JEE exam syllabus.The Ellipse - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Ellipse - 1 below.
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Ellipse - 1 - Question 1

The second degree equation x2 + 4y2 + 2x + 16y +13 = 0 represent itself as -

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Ellipse - 1 - Question 10

PQ and QR are two focal chords of an ellipse and the eccentric angles of P,Q,R and 2α, 2β, 2γ respectively then tan β tan γ is equal to -

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Ellipse - 1 - Question 13

An ellipse is described by using an endless string which is passed over two pins. If the axes are 6 cm and 4 cm, the necessary length of the string and the distance between the pins respectively in cm are-

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Ellipse - 1 - Question 15

If the latus rectum of an ellipse be equal to half of its minor axis, then its eccentricity is

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Ellipse - 1 - Question 18


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Ellipse - 1 - Question 19

If the tangent at the point (4 cos ϕ , (16/√11) sin ϕ) to the ellipse 16x2 + 11y2 = 256 is also a tangent to the circle x2 + y2 – 2x = 15, then the value of ϕ is -

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Ellipse - 1 - Question 26

If α, β are the eccentric angles of the extremities of a focal chord of the ellipse x2/16 + y2/9 = 1, then tan (α/2) tan (β/2) =

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Ellipse - 1 - Question 29

If C is the centre of the ellipse 9x2 + 16y2 = 144 and S is one focus. The ratio of CS to semimajor axis, is -

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Ellipse - 1 - Question 30

The equation of the ellipse whose axes are coincident with the co-ordinate axes and which touches the straight lines 3x – 2y – 20 = 0 and x + 6y – 20 = 0, is -

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