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Fill in the blanks : (a) The bus-tripl...

Fill in the blanks :
(a) The bus-triplicate ratio of the inverse ratio of ` 27 : 64` is ________.
(b) The compound ratio of the inverse of the ratio `(x + y) : (x - y) " and " (x^(2) - y^(2)) : (x+ y)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
(a)`4:3 ; (b) 1 : 1`
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Knowledge Check

  • The sub-triplicate ratio of the ratio (7 + 5 sqrt2) : (7 - 5 sqrt2) is

    A
    `-(3 - 2 sqrt2) : 1`
    B
    `(3 + 2 sqrt2) : 1 `
    C
    `-(3 + 2 sqrt2) : 1`
    D
    None of these.

  • The mixed ratio of the ratios x/y : z , y/z : x " and " z/a : y is

    A
    `1 : xyz`
    B
    ` xyz : 1`
    C
    `x^(2) y^(2) z^(2) : 1`
    D
    ` 1 : x^(2) y^(2) z^(2)` .

  • If x : y = 1 : 2 , then the value of the ratio (x + 2y) : (2x + 9y) is -

    A
    ` 3 : 1`
    B
    ` 4 : 5`
    C
    ` 1 : 4`
    D
    ` 5 : 4`

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    Find the ratio of the eccentricities of the hyperbolas 2x^(2) - 3y^(2) = 1 and 3x^(2) - 2y^(2) = 1

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