Basic Mathematics-Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 13 - 15 of 22

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Question number: 13

» 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: 14

» 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: 15

» 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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