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 |
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 |
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 |
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. |