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

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If $x^{4} + \frac{1}{x^{4}} = 119$ and $x > 1$ then $x^{3} - \frac{1}{x^{3}}$ is:

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Important Questions on Algebra

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

If

x - y = \frac{x + y}{7} = \frac{xy}{4}

then the value of

xy

is:

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

If

(x + y - z)^{2} + (y + z - x)^{2} + (z + x - y)^{2} = 0

then the value of

x + y + z

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 25

If

x + y + z = 0

then the value of

\frac{x^{2}}{yz} + \frac{y^{2}}{zx} + \frac{z^{2}}{xy}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 26

If

x = a (b - c), y = b (c - a)

and

z = c (a - b)

, then

{(\frac{x}{a})}^{3} + {(\frac{y}{b})}^{3} + {(\frac{z}{c})}^{3} = ?

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 27

If

x^{2} + 2 = 2 x

, then the value of

x^{4} - x^{3} + x^{2} + 2

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 28

If

2^{x} = 3^{y} = 6^{- x}

, then the value of

(\frac{1}{x} + \frac{1}{y} + \frac{1}{z})

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 29

If

\frac{1}{x + y} = \frac{1}{x} + \frac{1}{y} (x \neq 0, y \neq 0, x \neq y)

then the value of

x^{3} - y^{3}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 30

For real

a, b, c, a^{2} + b^{2} + c^{2} = ab + bc + ca

, then the value of

\frac{a + c}{b}

is: