BITSAT Mathematics: Questions 46 - 52 of 244

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Question number: 46

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

MCQ▾

Question

The system of equation AX=B of n equations in n unknowns has a unique solution if

Choices

Choice (4) Response

a.

Det A ≠ 0, AdjAB = 0

b.

Det A = 0, AdjAB = 0

c.

Det A = 0, AdjAB ≠ 0

d.

Det A ≠ 0

Question number: 47

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

MCQ▾

Question

If z=3+i2 , then z69 is equal to,

Choices

Choice (4) Response

a.

i

b.

i

c.

- 1

d.

1

Question number: 48

» Permutations and Combinations » Meaning of P (N,R) and C (N,R)

MCQ▾

Question

If (nPr)=720(nCr) , then value of r is –

Choices

Choice (4) Response

a.

7

b.

4

c.

5

d.

6

Question number: 49

» Limits & Continuity » Limits

MCQ▾

Question

limx0ex(1+x)x2=________

Choices

Choice (4) Response

a.

0

b.

e

c.

2

d.

12

Question number: 50

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

If α,βR , are the roots of the equation ax2+bx+c=0,kR , lies between α and β , if –

Choices

Choice (4) Response

a.

a2k2+abk+ac<0

b.

ak2+bx+c<0

c.

a2k2+abk+ac>0

d.

None of the above

Question number: 51

» Complex Numbers and Quadratic Equations » Argand Diagram

MCQ▾

Question

If z lies on z =1 , then 2z lies on –

Choices

Choice (4) Response

a.

Parabola

b.

Ellipse

c.

Line

d.

Circle

Question number: 52

» Differential Calculus » Domain and Range of Real Valued Function

MCQ▾

Question

f(x)=alog x +bx2+x has its extreme value of x=1,x=2 . Then –

Choices

Choice (4) Response

a.

a=2,b=12

b.

a=2,b=1

c.

a=2,b=12

d.

All of the above

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