Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 32 - 35 of 57

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Question number: 32

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

Let be the circle in the XY – plane. For each , let be the line passing through and . Note that intersects C in two points, one of which is . Let be the other point. As varies between and , the collection of points sweeps out an arc on C. The angle subtended by this are at is:

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 33

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

If is a positive integer and is a cube root of unity, the number of possible values of

is –

Choices

Choice (4) Response

a.

6

b.

4

c.

2

d.

3

Question number: 34

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

In a triangle , let G denote its centroid and let M, N be points in the interiors of the segments , respectively, such that are collinear. If denotes the ratio of the area of triangle to the area of then, (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 35

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

Let . The number of elements in S such that is divisible by 19 is –

Choices

Choice (4) Response

a.

18

b.

1

c.

38

d.

19

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