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

EASY

UPSC CDS

IMPORTANT

Earn 100

If $(x + y - z)^{2} + (y + z - x)^{2} + (z + x - y)^{2} = 0$ then the value of $x + y + z$ is:

50% studentsanswered this correctly

Important Questions on Algebra

EASY

UPSC CDS

IMPORTANT

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:

EASY

UPSC CDS

IMPORTANT

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} = ?

EASY

UPSC CDS

IMPORTANT

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:

EASY

UPSC CDS

IMPORTANT

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:

EASY

UPSC CDS

IMPORTANT

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:

EASY

UPSC CDS

IMPORTANT

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:

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 31

If

xy (x + y) = 1

, then

\frac{1}{x^{3} y^{3}} - x^{3} - y^{3}

is:

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Previous Years Questions>Q 32

If

\frac{x}{2 x^{2} + 5 x + 2} = \frac{1}{6}

, then the value of

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

is: