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Standard X

Mathematics

Triplicate Ratio

The triplicat...

Question

The triplicate ratio of $a^{3} : b^{3}$ is _____

a : b

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a^{2} : b^{2}

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a^{3} : b^{3}

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a^{9} : b^{9}

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Solution

The correct option is D $a^{9} : b^{9}$
The triplicate ratio of $a : b$ is $a^{3} : b^{3}$
$∴$ The triplicate ratio of $a^{3} : b^{3}$ is $(a^{3})^{3} : (b^{3})^{3} = a^{9} : b^{9}$

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Similar questions

Q. Expand

a^{3} b^{2}, a^{2} b^{3}, b^{2} a^{3}, b^{3} a^{2} .

Are they all same?

Expand the following formulas

(a + b)^{2}

(a - b)^{2}

(a^{2} + b^{2})

(a + b)^{3}

(a - b)^{3}

a^{3} + b^{3}

a^{3} - b^{3}

Q. Which of the following equations are correct?

(i) (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)

(i i) (a + b)^{3} = a^{3} + b^{3} + 3 a b (a - b)

(i i i) (a - b)^{3} = a^{3} - b^{3} - 3 a b (a + b)

(i v) a^{2} - b^{2} = (a + b) (a - b)

Which of the following equation/s is/are correct?

$i) (a + b + c)^{2} = a^{2} + b^{2} + c^{2} - 2 (a b + b c + c a)$
$i i) (a + b)^{3} = a^{3} + b^{3} + 3 a b (a - b)$
$i i i) (a - b)^{3} = a^{3} - b^{3} - 3 a b (a + b)$
$i v) a^{2} - b^{2} = (a + b) (a - b)$

Q. If

2 y - x = 8; 5 y - x = 14, y - 2 x = 1

intersect at

(a_{1}, b_{1}), (a_{2}, b_{2}), (a_{3}, b_{3})

Find

(a_{1} + a_{2} + a_{3} + b_{1} + b_{2} + b_{3})

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The triplicate ratio of a3:b3 is _____

The correct option is D a9:b9The triplicate ratio of a:b is a3:b3∴ The triplicate ratio of a3:b3 is (a3)3:(b3)3=a9:b9

The triplicate ratio of $a^{3} : b^{3}$ is _____

The correct option is D $a^{9} : b^{9}$
The triplicate ratio of $a : b$ is $a^{3} : b^{3}$
$∴$ The triplicate ratio of $a^{3} : b^{3}$ is $(a^{3})^{3} : (b^{3})^{3} = a^{9} : b^{9}$