KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 1 - 5 of 172

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Question number: 1

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let Equation be a differentiable function such that Equation and Equation for some a < b. Then the minimum numbers of roots of Equation 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 Equation 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 Equation , where Equation is the greatest integer not exceeding x and Equation ?

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 Equation and a point on the curve Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation .

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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