KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 6 - 11 of 172

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Question number: 6

» Coordinate Geometry » Locus and Its Equation

Appeared in Year: 2011

MCQ▾

Question

All the points (x, y) in the plane satisfying the equation Equation lie on –

Choices

Choice (4) Response

a.

a pair of straight lines

b.

a parabola

c.

a family of hyperbolas

d.

an ellipse

Question number: 7

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

Question

Suppose Equation The smallest possible integer value of c for all a, b > 1 is –

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

4

Question number: 8

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

Question

The value of

Equation

is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 9

» Binomial Theorem » Expansion and Simple Applications

Appeared in Year: 2011

MCQ▾

Question

If Equation where x is a real variable and n is a positive integer, then the value of, Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 10

» Sets, Relations and Functions » Union, Intersection and Complement of Sets

Appeared in Year: 2010

MCQ▾

Question

Consider the region Equation and Equation in the plane. Then the area of the region Equation is

Choices

Choice (4) Response

a.

100

b.

100π

c.

50π

d.

10 π

Question number: 11

» Coordinate Geometry » Parabola

Appeared in Year: 2011

MCQ▾

Question

In the xy – plane, three distinct lines Equation concur at a point (λ, 0). Further the lines Equation are normal to the parabola Equation at the points Equation respectively. Then we have –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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