Coordinate Geometry-Ellipse [NEST (National Entrance Screening Test-NISER) Mathematics]: Questions 1 - 4 of 4

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Question 1

Appeared in Year: 2010

Question MCQ▾

Let P be an arbitrary point on the ellipse . Suppose F1 and F2 are the foci of the ellipse. The locus of the centroid of the triangle PF1F2 as P moves on the ellipse is –

Choices

Choice (4)Response

a.

An ellipse

b.

A circle

c.

A hyperbola

d.

A parabola

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Question 2

Appeared in Year: 2014

Question MCQ▾

In a ellipse, its foci and the ends of its major axis are equally spaced, if the length its semi – minor axis is , then the length of its semi – major axis is:

Choices

Choice (4)Response

a.

b.

3

c.

d.

4

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Question 3

Question MCQ▾

For a positive real number k. let be the ellipse with equation where All member of the family of ellipses have the same

Choices

Choice (4)Response

a.

Foci

b.

Eccentricity

c.

Pair of directrices

d.

Centre

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Question 4

Appeared in Year: 2020

Question MCQ▾

Let , be an ellipse with major axis AB and minor axis CD. Let and be its two foci, with A, , , B in that order on the segment AB. Suppose . The eccentricity of the ellipse is

Choices

Choice (4)Response

a.

b.

c.

d.

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