Coordinate Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 11 - 13 of 20

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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 22 , then the length of its semi – major axis is:

Choices

Choice (4) Response

a.

3

b.

4

c.

10

d.

23

Question number: 12

» Coordinate Geometry » Parallel and Perpendicular Lines

Appeared in Year: 2013

MCQ▾

Question

Let v1,v2,v3,v4 be unit vectors in the xy 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.

v1+v2+v3+v4=0

b.

There exist i,j with 1i<j4 such vi+vj is in the first quadrant

c.

There exist i,j with 1i<j4 such that vivj<0

d.

There exist i,j with 1i<j4 such that vivj>0

Question number: 13

» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane

Appeared in Year: 2014

MCQ▾

Question

Let b,d>0 . The locus of all points P(r,θ) for which the line OP (where O is origin) cuts the line rsinθ=b in Q such that PQ=d is –

Choices

Choice (4) Response

a.

(rd)cosθ=b

b.

(rd)sinθ=b

c.

(r±d)cosθ=b

d.

(r±d)sinθ=b

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