Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 11 - 14 of 22

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Question number: 11

» Coordinate Geometry » Ellipse

Appeared in Year: 2014

MCQ▾

Question

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.

3

b.

4

c.

d.

Question number: 12

» Coordinate Geometry » Parallel and Perpendicular Lines

Appeared in Year: 2013

MCQ▾

Question

Let be unit vectors in the plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true? (Model Paper)

Choices

Choice (4) Response

a.

b.

There exist with such is in the first quadrant

c.

There exist with such that

d.

There exist with such that

Question number: 13

» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane

Appeared in Year: 2014

MCQ▾

Question

Let . The locus of all points for which the line (where O is origin) cuts the line in such that is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 14

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2013

MCQ▾

Question

Two line segments and are constrained to move along the and axes, respectively, in such a way that the points are on cyclic. If and , then the locus of the centre of the circle passing through in polar coordinates is – (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

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