Kuulchat - Senior High School (S.H.S) Mathematics Binary Operation Practice Test Questions

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BINARY OPERATION

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1.

A binary operation ∆ is defined on the set of real numbers, R, by x ∆ y = $\sqrt{x + y - \frac{xy}{4}}$ , where x, y ∈ R. Find the value of 4 ∆ 3.

A.

16

B.

8

C.

4

D.

2

x ∆ y = $\sqrt{x + y - \frac{xy}{4}}$

For 4 ∆ 3, x = 4 and y = 3

Substitute the values of x and y into the relation.

4 ∆ 3 = $\sqrt{4 + 3 - \frac{4 x 3}{4}}$

Note

$\frac{4 x 3}{4}$ = 3

4 ∆ 3 = $\sqrt{7 - 3}$

4 ∆ 3 = $\sqrt{4}$

4 ∆ 3 = 2

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BINARY OPERATION

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