SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 45

EASY

UPSC CDS

IMPORTANT

Earn 100

If $a + b + c = 0$ then the value of $\frac{a^{2} + b^{2} + c^{2}}{(bc + ca + ab)}$ is:

50% studentsanswered this correctly

Important Questions on Algebra

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 46

If point

A

is in third quadrant and

3 \tan A - 4 = 0

then the value of

5 \sin 2 A + 3 \sin A + 4 \cos A = ?

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 47

[a^{\frac{1}{8}} + a^{- \frac{1}{8}}] [a^{\frac{1}{8}} - a^{- \frac{1}{8}}] [a^{\frac{1}{4}} + a^{^{- \frac{1}{4}}}] [a^{\frac{1}{2}} + a^{- \frac{1}{2}}] = ?

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 48

The value of expression

\frac{{(x^{2} - y^{2})}^{3} + {(y^{2} - z^{2})}^{3} + {(z^{2} - x^{2})}^{3}}{(x - y)^{3} + (y - z)^{3} + (z - x)^{3}}

is:

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 49

If

x = a^{\frac{2}{3}} - a^{- \frac{2}{3}}

then the value of

x^{3} + 3 x

is:

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 50

If

a + b + c = 0

then the value of

\frac{1}{a^{2} + b^{2} - c^{2}} + \frac{1}{b^{2} + c^{2} - a^{2}} + \frac{1}{a^{2} + c^{2} - b^{2}} = ?

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 51

If

y + \frac{1}{z} = 1

and

x + \frac{1}{y} = 1

, then the value of

xyz

is:

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 52

In the solution of equation

\frac{x}{4} + \frac{y}{3} = \frac{5}{12}

and

\frac{x}{2} + y = 1

the value of

(x + y)

is:

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 3 - Algebra>Model Questions>Q 53

If

α

and

β

are the root of equation

x^{2} + px + q = 0

then the value of

\frac{α}{β} + \frac{β}{α}

is: