SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 7

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10th West Bengal Board

IMPORTANT

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If $\frac{2 x}{3} = \frac{4 y}{5} = \frac{7 z}{9}$ then, what is the value of $\frac{4 x + 12 y + 21 z}{3 y}$ ? ( write answer in mixed fraction)

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Important Questions on Miscellaneous Exercise : Algebra

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 8

If

(a^{2} + b^{2}) (x^{2} + y^{2}) = {(a x + b y)}^{2}

then, what is the value of

x : y

?

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 9

If

x = 2 + \sqrt{5}

then, what is the value of

x - \frac{1}{x}

?

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 9

If

2 x = 5 + \sqrt{21}

then, what is the value of

x + \frac{1}{x}

?

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 9

If

x = z^{3}

and

y = z \sqrt{z}

then

y

can be expressed in terms of

x

as

\pm \sqrt{p}

. What is the value of

p

?

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 10

If the value of

x + \frac{1}{x} = \pm \sqrt{k}

so that,

x^{2} + \frac{1}{x^{2}} = 0

. Then find the value of k

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10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 11

If

b = \frac{1}{a}

and

a + b = \sqrt{3}

then, what is the value of

a^{3} + b^{3}

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 12

Which of the following expression are rational ?

$\sqrt{. 121}, \sqrt{2.56}, \sqrt{. 81}, \sqrt[3]{. 64}, \sqrt[3]{. 125}$

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 13

If $x + \frac{1}{x} = \sqrt{3}$ then, find the value of $x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1$