KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 35 - 39 of 172

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Question number: 35

» Permutations and Combinations » Simple Applications

Appeared in Year: 2010

MCQ▾

Question

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular polygon is –

Choices

Choice (4) Response

a.

66

b.

15

c.

24

d.

30

Question number: 36

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2011

MCQ▾

Question

In triangle ABC, we are given that 3sinA+4cosB=6 and 4sinB+3cosA=1 . Then the measure of the angle C is –

Choices

Choice (4) Response

a.

600

b.

1500

c.

750

d.

300

Question number: 37

» Matrices and Determinants » Solution of Simultaneous Linear Equations in Two or Three Variables

Appeared in Year: 2010

MCQ▾

Question

Let A denote the matrix (0ii0) , where i2=1 , and let I denote the identity matrix (1001) . Then I+A+A2++A2010 is –

Choices

Choice (4) Response

a.

f has local minima at x = c, a and a local maximum at x = b

b.

f has local minima at x = a, b and a local maximum at x = c

c.

f has local minima at x = b, c and a local maximum at x = a

d.

All of the above

Question number: 38

» Trigonometry » Trigonometric Functions

Appeared in Year: 2010

MCQ▾

Question

The product (1+tan10)(1+tan20)(1+tan30)(1+tan450) equals –

Choices

Choice (4) Response

a.

222

b.

223

c.

221

d.

225

Question number: 39

» Sequence and Series » Geometric Progressions

Appeared in Year: 2010

MCQ▾

Question

Suppose the sides of a triangle form a geometric progression with common ratio r. Then r lies in the interval –

Choices

Choice (4) Response

a.

(0,1+52]

b.

(1+52,2+52]

c.

(2+52,)

d.

(1+52,1+52]

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