Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 3

EASY

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IMPORTANT

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If $\frac{x - 1}{x} = 3$ then find the value of $\frac{x^{3} + 1}{x^{3}}$

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Important Questions on Algebraic Expressions

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 4

The system

k x - y = 2

and

6 x - 2 y = 3

has a unique solution only when

EASY

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 5

The system

x + 2 y = 3

and

5 x + k y + 7 = 0

has no solution, when

EASY

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 6

When

x^{3} - 3 x^{2} + 3 x + 5

is divided by

x^{2} - x + 1

, the quotient and remainder are

EASY

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 7

If the roots of the equation $a (b - c) x^{2} + b (c - a) x + c (a - b) = 0$ are equal then which of the following will be true?

EASY

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 8

The sum of two numbers is,

24

and their product is,

143

. The sum of their squares is

EASY

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 1

If

a + \frac{1}{a} = 1,

find the value of

a^{3} + \frac{1}{a^{3}}

?

EASY

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 2

What is the value of

\frac{a^{2} + b^{2}}{a^{3} - b^{3}}

when

a + b = 8

and

a - b = 2 ?

HARD

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 3

If

x + y + z = 21, x y z = 130

and

x y + y z + z x = 140

, then the value of

2 \sqrt{x^{3} + y^{3} + z^{3} + x y z}