Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 11 - 15 of 57

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Question number: 11

» 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: 12

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

Question

Let h be the orthocenter of an acute – angled triangle ABC and O be its circumcenter. Then HA+HB+HC ,

Choices

Choice (4) Response

a.

Is equal to HO

b.

Is equal to 2HO

c.

Is equal to 3HO

d.

Is not a scalar multiple of HO in general

Question number: 13

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2012

MCQ▾

Question

In the real number system, the equation x+34x1+x+86x1=1 has –

Choices

Choice (4) Response

a.

No solution

b.

Exactly two distinct solutions

c.

Infinitely many solutions

d.

Exactly four distinct solutions

Question number: 14

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then tanBtanC equals,

Choices

Choice (4) Response

a.

2

b.

3

c.

4

d.

5

Question number: 15

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2013

MCQ▾

Question

Let ω be a cube root of unity not equal to 1. Then the maximum possible value of a+bω+cω2 where a, b, c ∈ {+1, -1} is –

Choices

Choice (4) Response

a.

1+3

b.

2

c.

3

d.

0

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