KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 49 - 54 of 172

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Question number: 49

» Integral Calculus » Evaluation of Simple Integrals

Appeared in Year: 2012

MCQ▾

Question

Let [x] and {x} are be the integer part and fractional part of a real number x respectively. The value of the integral, Equation is –

Choices

Choice (4) Response

a.

5

b.

Equation

c.

35.5

d.

34.5

Question number: 50

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then Equation equals,

Choices

Choice (4) Response

a.

2

b.

3

c.

Equation

d.

Equation

Question number: 51

» Coordinate Geometry » Straight Lines

Appeared in Year: 2013

MCQ▾

Question

If a, b are positive real numbers such that the lines Equation and Equation are parallel, then the least possible value of Equation is–

Choices

Choice (4) Response

a.

8

b.

12

c.

13

d.

6

Question number: 52

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

Appeared in Year: 2013

MCQ▾

Question

The sum of non-real roots of the polynomial equation Equation

Choices

Choice (4) Response

a.

Equals 0

b.

Has absolute value bigger than 1

c.

Lies between 0 and 1

d.

Lies between -1 and 0

Question number: 53

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

Question

Let Equation for all Equation . Let Equation , Equation and generally Equation for n > 1.

Let, Equation which of the following is a multiple of P

Choices

Choice (4) Response

a.

125

b.

375

c.

250

d.

147

Question number: 54

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –

Choices

Choice (4) Response

a.

3

b.

4.5

c.

3.5

d.

4

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