SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 67

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If $a^{2} = b + c, b^{2} = c + a, c^{2} = a + b$ then the value of $\frac{1}{a + 1} + \frac{1}{b + 1} + \frac{1}{c + 1}$ 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 68

If

x - \frac{1}{x} = 2

then the value of

x^{2} - \frac{1}{x^{2}}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 69

If

x + y = 2 xy

and

x - y = 4 xy

then the value of

y^{2}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 70

If

x = (\sqrt{2} + 1), y = 1 - \sqrt{2}

then the value of

x^{2} + y^{2} + xy

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 71

If

a + b = 2 c

then the value of

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

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 72

If

a + b + c = 0

then the value of

\frac{3 (a + b) (b + c) (c + a)}{abc}

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 73

f (x) = 4 x^{3} - 2 x^{2} + 5 x - 8

is divided by

(x - 2)

then the remainder will be:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 74

If

{(a + \frac{1}{a})}^{2} = 3

then the value of

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

is:

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SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 75

If

a = \frac{x}{x + y}

and

b = \frac{y}{x - y}

then the value of

\frac{ab}{a + b}

is: