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

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10th West Bengal Board

IMPORTANT

Earn 100

If $x = \frac{4 a b}{a + b}$ then, what is the value of $\frac{x + 2 a}{x - 2 a} + \frac{x + 2 b}{x - 2 b}$

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Important Questions on Miscellaneous Exercise : Algebra

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10th West Bengal Board

IMPORTANT

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

If

a, b, c

are in continued proportion then the value of

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

.

EASY

10th West Bengal Board

IMPORTANT

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

The difference between proper fraction and its reciprocal is

\frac{7}{12}

then the fraction is

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10th West Bengal Board

IMPORTANT

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

A train travels a distance

1200 km

with a velocity

x km / hr

. If its velocity be

(x + 10) km

. Then it takes

10 hrs

less to cover the same distance. Then the value of

x

is

EASY

10th West Bengal Board

IMPORTANT

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

If

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

, then The value of

f (x) + f (- x)

is

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10th West Bengal Board

IMPORTANT

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

What number should be added to the numbers

6, 10, 14, 22

so that they are in proportion?

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10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 28

Solve:

$\frac{1}{x} + \frac{1}{40 - x} = \frac{2}{15}$

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10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 28

Solve:

$(1 + \frac{1}{x + 1}) (1 - \frac{1}{x - 1}) = \frac{4}{5}$

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10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 27 - Miscellaneous Exercise : Algebra>Miscellaneous Exercise : Algebra>Q 29

Solve by Sridhara Acharya's method

$6 x^{2} - 7 x + 2 = 0$