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Number Systems and Codes ReView Questions 1. Define positional

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Number Systems and Codes ReView Questions 1. Define positional and non-positional number systems. 2. Describe the following number system with an example

Decimal number system
Binary number system
Octal number system
Hexadecimal number system.

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Practice more questions on Algebra

Question 1

Hard

Prove that from the equality

\frac{s i n ^{4} α}{a} + \frac{c o s ^{4} α}{b} = \frac{1}{a + b}

follows the relation,

\frac{s i n ^{8} α}{a ^{3}} + \frac{c o s ^{8} α}{b ^{3}} = \frac{1}{( a + b ) ^{3}}

and

\frac{s i n ^{4 n} x}{a ^{2 n - 1}} + \frac{c o s ^{4 n} x}{b ^{2 n - 1}} = \frac{1}{( a + b ) ^{2 n - 1}}

Topic:

Trigonometric Functions

Book:

Trigonometry for JEE Main and Advanced (Amit M Agarwal)

View solution

Question 2

Write the distance between the vertex and focus of the parabola y² + 6y + 2x + 5 = 0.

Topic:

Conic Sections

Book:

Maths XI (RD Sharma)

View solution

Question 3

Hard

cos (A - B) = \frac{3}{5}

and

tan A tan B = 2

, then

$cos A cos B = \frac{1}{5}$
$sin A sin B = - \frac{2}{5}$
$cos (A + B) = - \frac{1}{5}$
None of these

Topic:

Trigonometric Functions

View 3 solutions

Question 4

Easy

Find the equation of a line passing though the point

(3, - 4)

and cutting off intercepts equal but of opposite signs from the two axes.

$x - 2 y = 1$
$2 x - y = 1$
$x + y = 7$
$x - y = 7$

Topic:

Straight Lines

View solution

Students who ask this question also asked

Question 1

A survey shows that

61%

of Indian like cheese where as

72%

like mangoes. If

μ %

of the Indian like both cheese and mangoes then

$μ < 61$
$μ < 33$
$μ > 61$
$33 \leq μ \leq 61$

Topic:

Algebra

View solution

Question 2

(36) Doing swings balls in a cricket match turns the ball and can put the batsman in danger our two Very own famous bowlers R. Ashwin and jasprint Bumrah, throws the ball at an angle of

A

and

B

ectively. The relation between

A

and

B

respectively the relation between

A

and

B

such that

sin (A - B) = \frac{1}{2}

and

cos (A + B) = 0, 0 B

. New answer the following questions. (i) What is the measure of LA? (ii) If

sin A = \frac{b}{a}

, then what value of

cos A

. (iii) Find out the value of

cosec (A - B)

. Fiind out the friends are of always involved in doing some social works. Now this time they want

Topic:

Algebra

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Question 3

SECTION - D : MATHEMA 16. Find the value of

(\frac{2 ^{n} + 2 ^{n - 1}}{2 ^{n + 1} - 2 ^{n}})

(\frac{2 ^{n} + 2 ^{n - 1}}{2 ^{n + 1} - 2 ^{n}})

का मान ज्ञात कीजिये?

$\frac{2}{3}$
$\frac{3}{2}$
$\frac{1}{3}$
None

Topic:

Algebra

View solution

Question 4

The complex number satisfying the system of equations

z^{3} + (\overset{ω}{ˉ})^{7} = 0

and

z^{5} ω^{11} = 1

$1 - i$
$i$
$- \frac{1}{i}$
$1 + i$

Topic:

Algebra

View solution

Question Text	Number Systems and Codes ReView Questions 1. Define positional and non-positional number systems. 2. Describe the following number system with an example
Topic	Algebra
Subject	Mathematics
Class	Class 11

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