KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 1 - 5 of 155

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Question number: 1

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let f:RR be a differentiable function such that f(a)=f(b)=0 and f(a)f(b)>0 for some a < b. Then the minimum numbers of roots of f(x)=0 in the interval (a, b) is –

Choices

Choice (4) Response

a.

0

b.

1

c.

3

d.

2

Question number: 2

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2010

MCQ▾

Question

The roots of (x41)49+(x49)41+(x2009)2009=0 are –

Choices

Choice (4) Response

a.

Non-real except one positive real root

b.

Non-real except for three real roots of which exactly one is positive

c.

Non-real except three positive real roots

d.

All necessarily real

Question number: 3

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2011

MCQ▾

Question

Which of the following interval is possible domain of the function f(x)=log{x}[x]+log[x]{x} , where [x] is the greatest integer not exceeding x and {x}=x[x] ?

Choices

Choice (4) Response

a.

(0, 1)

b.

(1, 2)

c.

(2, 3)

d.

(3, 5)

Question number: 4

» Coordinate Geometry » Distance Formula

Appeared in Year: 2011

MCQ▾

Question

The minimum distance between a point on the curve y=ex and a point on the curve y=logex is –

Choices

Choice (4) Response

a.

12

b.

22

c.

2

d.

3

Question number: 5

» Coordinate Geometry » Locus and Its Equation

Appeared in Year: 2010

MCQ▾

Question

The figure shown below is the graph of the derivative of some function y=f(x) .

Graph of derivative of some function y = f’(x)

Graph of Derivative of Some Function Y = F’ (X)

Figure shows the graph of the derivative of some function y = f’ (x).

Choices

Choice (4) Response

a.

3

b.

1

c.

2

d.

None of the above

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