Matrices and Determinants (BITSAT Mathematics): Questions 8 - 14 of 14

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Question number: 8

» Matrices and Determinants » Properties of Determinants

MCQ▾

Question

If each element of a determinant of 3rd order with value A is multiplied by 3 , then the new determinant is

Choices

Choice (4) Response

a.

27A

b.

3A

c.

9A

d.

None of the above

Question number: 9

» Matrices and Determinants » Determinants and Matrices of Order Two and Three

MCQ▾

Question

If A+B+C=π , then

sin(A+B+C)sinBcosCsinB0tanAcos(A+B)tanA0 =_

Choices

Choice (4) Response

a.

cosAsinB

b.

0

c.

cosA

d.

sinC

Question number: 10

» Matrices and Determinants » Evaluation of Determinants

MCQ▾

Question

The value of x+1x+2x+4x+3x+5x+8x+7x+10x+14 is

Choices

Choice (4) Response

a.

x2+2

b.

2

c.

2

d.

None of the above

Question number: 11

» Matrices and Determinants » Evaluation of Determinants

MCQ▾

Question

The determinant a+b+c2a2a2bb+c+a2b2c2cc+a+b is –

Choices

Choice (4) Response

a.

A perfect cube

b.

A perfect square

c.

0

d.

None of the above

Question number: 12

» Matrices and Determinants » Evaluation of Determinants

MCQ▾

Question

111nC1n+1C1n+2C1nC2n+1C2n+2C2=

Choices

Choice (4) Response

a.

1

b.

0

c.

1

d.

All of the above

Question number: 13

» Matrices and Determinants » Evaluation of Determinants

MCQ▾

Question

If a,b,c are in AP, then x+1x+2x+ax+2x+3x+bx+3x+4x+c is equal to

Choices

Choice (4) Response

a.

0

b.

3

c.

x2

d.

Question does not provide sufficient data or is vague

Question number: 14

» Matrices and Determinants » Evaluation of Determinants

MCQ▾

Question

If f(x)=2cosx1012cosx1012cosx then f(π3)=

Choices

Choice (4) Response

a.

0

b.

- 1

c.

1

d.

Question does not provide sufficient data or is vague

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