KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 121 - 125 of 155

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Question number: 121

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let A,B,C of a triangle ABC . These angles are satisfy the equations 42sinA+cosB=5 and sinB+42cosA=4 . Then C equals – (Model Paper)

Choices

Choice (4) Response

a.

120°

b.

60°

c.

135°

d.

45°

Question number: 122

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

For a real number r we denote by [r] the largest integer less than or equal to r . If x,y are real number with x,y1 , then which of the following statement is always true?

Choices

Choice (4) Response

a.

[x+y][x]+[y]

b.

[xy][x][y]

c.

[2x]2[x]

d.

[xy][x][y]

Question number: 123

» Differential Equations » Formation of Differential Equations

Appeared in Year: 2013

MCQ▾

Question

Let f(x)=1+x1!+x22!+x33!+x44! . The number of real roots of f(x)=0 is – (Model Paper)

Choices

Choice (4) Response

a.

1

b.

0

c.

2

d.

4

Question number: 124

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

What is the angle subtended by an edge of a regular tetrahedron at its center?

Choices

Choice (4) Response

a.

cos1(12)

b.

cos1(13)

c.

cos1(12)

d.

cos1(13)

Question number: 125

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

Let n3 and let C1,C2,,Cn , be circles with radii r1,r2,,rn, respectively. Assume that Ci and Ci+1 touch externally for 1in1 . It is also given that the x axis and the line y=22x+10 are tangential to each of the circles. Then r1,r2,,rn are in –

Choices

Choice (4) Response

a.

An arithmetic progression with common difference 2+3

b.

An arithmetic progression with common difference 3+2

c.

A geometric progression with common ratio 2+3

d.

A geometric progression with common ratio 3+2

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