SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 58

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If $x + y + z = 0$ , then the value of $\frac{xyz}{(x + y) (y + z) (z + x)}$ 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 59

If

x + \frac{1}{x} = 2, x \neq 0

then the value of

x^{2} + \frac{1}{x^{3}}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 60

If

\frac{a}{b} + \frac{b}{a} = 1, a \neq 0, b \neq 0

then the value of

a^{3} + b^{3}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 61

If

a^{2} + b^{2} + c^{2} + 3 = 2 (a + b + c)

then the value of

(a + b + c)

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 62

If

\frac{(x - y)^{2}}{x^{2} - y^{2}} = 9

then the value of

\frac{x + y}{x - y}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 63

If

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

is divided by

(x - 2)

then the remainder remains

k

; then the value of

k

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 64

If

a = - 5, b = - 6, c = 10

then

\frac{(a^{3} + b^{3} + c^{3} - 3 abc)}{(ab + bc + ca - a^{2} - b^{2} - c^{2})} = ?

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 65

If

x - y = - 1

then the value of

x^{3} - y^{3} + 3 xy

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 66

If

a + b + c = 0

then the value of

\frac{{(a^{2} + b^{2} + c^{2})}^{2}}{a^{2} b^{2} + b^{2} c^{2} + c^{2} a^{2}}

is: