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Equivalence Class

Mac has three...

Question

Mac has three daughters. He gives 4x, 6y,and 9z marbles to his three daughters. The daughters observe that the number of the marbles with each one of them is the same.

What is the relation between x,y,and z?

A

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B

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C

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D

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Solution

The correct option is C

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Similar questions

Q. Assertion :The lines

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

\frac{x - 2}{2} = \frac{y + 1}{- 2} = \frac{z}{3}

are coplanar and the equation of the plane containing them is

5 x + 2 y - 3 z - 8 = 0

Reason: The line

\frac{x - 2}{1} = \frac{y + 1}{2} = \frac{z}{3}

is perpendicular to the plane

3 x + 6 y + 9 z - 8 = 0

and parallel to the plane

x + y - z = 0

.

x + y

z + \frac{1}{z}

x - y

z - \frac{1}{z}

, find the relation between

x

z

, provided that

z = 2

x = 3

y = 1

Q. Which one of the sets below represents the correct values for the coefficients x, y and z in the following equation?
xSO₃ + yH₂O ⟶zH₂SO₄

(a) x-1; y-2; z-2
(b) x-2; y-2; z-2
(c) x-1; y-1; z-2
(d) x-1; y-1; z-1

Q. Solve the following equations:
x-y=1
y+z=0
x-z=3

D_{1} = ∣ ∣ ∣ ∣ \begin{matrix} 1 & x & y z 1 & y & z x 1 & z & x y \end{matrix} ∣ ∣ ∣ ∣

D_{2} = ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 x & y & z x^{2} & y^{2} & z^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

then find relation between

D_{1}

D_{2}

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