# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 28 - 31 of 172

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## Question number: 28

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

### Question

Let I, ω and ω2 be the cube roots of unity. The lest possible degree of a polynomial, with real coefficients, having 2 ω2, 3 + 4 ω, 3 + 4 ω2 and 5 – ω – ω2 as roots is –

### Choices

Choice (4) Response

a.

8

b.

5

c.

6

d.

4

## Question number: 29

Appeared in Year: 2011

MCQ▾

### Question

Consider the cubic equation, where a, b, c are real numbers. Which of the following statements is correct?

### Choices

Choice (4) Response

a.

If then the equation has all real and distinct roots

b.

If then the equation has real and distinct roots

c.

If then the equation has one real and two imaginary roots

d.

If then the equation has all real roots

## Question number: 30

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2011

MCQ▾

### Question

In a rectangle ABCD, the coordinates of A and B are (1,2) and (3,6) respectively and some diameter of the circumscribing circle of ABCD has equation. Then the area of the rectangle is –

### Choices

Choice (4) Response

a.

b.

c.

16

d.

20

## Question number: 31

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

### Question

Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB. Suppose and the area of triangle BKN is 6. The area of the triangle ABC is –

### Choices

Choice (4) Response

a.

54

b.

108

c.

48

d.

Question does not provide sufficient data or is vague

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