KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 75 - 79 of 172

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Question number: 75

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2012

MCQ▾

Question

Suppose a, b, c are real numbers, and each of the equations and has two distinct real roots. Then the equation has –

Choices

Choice (4) Response

a.

Two equal roots

b.

No real roots

c.

One positive and one negative root

d.

Two distinct positive real roots

Question number: 76

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

The maximum value M of, as x varies over real, satisfies –

Choices

Choice (4) Response

a.

b.

9 < M < 25

c.

d.

Question number: 77

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

Let (x, y) be a variable point on the curve. Then is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 78

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

Question

The number of ordered pairs (m, n), where such that 6m + 9n is a multiple of 5 is –

Choices

Choice (4) Response

a.

500

b.

2500

c.

1250

d.

625

Question number: 79

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

Question

Let and . Which of the following statements are true?

(i) Domain of = Domain of

(ii) Domain of = Domain of

(iii) Domain of = Domain of

(iv) Domain of = Domain of

Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (iii) and (v)

d.

Only (i) and (ii)

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