SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 16

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If $a + b + c = 0$ , then find the value of $\frac{a^{2} + b^{2} + c^{2}}{c^{2} - ab}$ .

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Important Questions on Algebra

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 17

If

(x + \frac{1}{x}) = 3

, then the value of

(x^{3} + \frac{1}{x^{3}})

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 18

If

x = 12

and

y = 4

, then the value of

{(x + y)}^{\frac{x}{y}}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 19

If

2^{a} + 3^{b} = 17

and

2^{a + 2} - 3^{b + 1} = 5

, then the value of

a

and

b

respectively:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 20

If

\frac{a}{2 b} = \frac{3}{2}

, then

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

equals to:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 21

If

y = (x + 3)^{2}

, then the value of

(- 2 x - 6)^{2}

equals to:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 22

Find the value of "?'"

\frac{{(x + \frac{1}{y})}^{a} {(x - \frac{1}{y})}^{b}}{{(y + \frac{1}{x})}^{a} {(y - \frac{1}{x})}^{b}} = ?

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 23

If

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

is divided by

x - 3

, then the remainder is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 24

If

\frac{x}{(2 x + y + z)} = \frac{y}{(x + 2 y + z)} = \frac{z}{x + y + 2 z} = a

and

x + y + z \neq 0

then find the value of

a

: