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Measures and Relations

Which of the ...

Question

Which of the following relation is incorrect ?

x + x = 2 x

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y + y = y \times y

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2 x + 2 y = 2 (x + y)

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4 x + 2 y = 2 (2 x + y)

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Solution

The correct option is B $y + y = y \times y$
$y + y = y \times y$ is a incorrect relation.
For example, let $y = 3$
On substituting the value of $^{'} y^{'}$ in the above relation we get,
RHS $= y + y = 3 + 3 = 6$
LHS $= y \times y = 3 \times 3 = 9$
Since, LHS $\neq$ RHS. Hence $y + y \neq y \times y$ is an incorrect relation.

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y^{2} - 2 x y + 2 x^{2} + 2 x - 2 y = 0 .

R =

(x, y), (2 x, 2 y)

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