Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 32

EASY

9th ICSE

IMPORTANT

Earn 100

If $a + b + c = 12$ and $a^{2} + b^{2} + c^{2} = 100$ find $a b + b c + c a .$

Important Questions on Expansions

MEDIUM

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 33

If $a^{2} + b^{2} + c^{2} = 125$ , $a b + b c + c a = 50$ find $a + b + c .$

MEDIUM

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 34

If

a + b - c = 5

and

a^{2} + b^{2} + c^{2} = 29

, find the value of

ab - bc - ca

.

MEDIUM

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 35

If

a - b = 7, a^{2} + b^{2} = 85

, find the value of

a^{3} - b^{3} .

MEDIUM

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 36

If the number

x

is

3

less than the number

y

and the sum of the squares of

x

and

y

is

29,

find the product of

x

and

y .

HARD

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>EXERCISE 3.2>Q 37

If the sum and the product of two numbers are

8

and

15

respectively, find the sum of their cubes.

EASY

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>Multiple Choice Questions>Q 1

If

(x + \frac{1}{x}) = 2, then (x^{2} + \frac{1}{x^{2}})

is equal to :

EASY

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>Multiple Choice Questions>Q 2

If

x^{2} + y^{2} = 9

and

x y = 8

, then

x + y

is equal to

EASY

9th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 9>Chapter 3 - Expansions>Multiple Choice Questions>Q 3

(102)^{2} - (98)^{2}

is equal to