_______are five pairs of integers (a, b) such that ab =−3. One such pair is (6, -2) because 6-2=-3

Concept- When we know the value of one variable in an equation, we can quickly compute the value of the second variable because the equation only has two variables. For the sake of clarity, consecutive integers should typically be utilized.Given, ab =−3a=-3bWe obtain corresponding values of a, such as by applying various values to b.(i) b=1, thena=-3b=-3×1=-3(-3,1)(ii) b=3,a=-3×3=-9(-9,3)(iii) b=4,a=-3×4=-12(-12,4)(iv) b=5a=-3×5=-15(-15,5)(v) b=6a=-3×6=-18(-18,6)So, the correct answer is (-3,1), (-9,3), (-12,4), (-15,5) and (-18,6).Hence, option 1 is correct.

_______are five pairs of integers (a, b) such that ab =−3. One such pair is (6, -2) because 6-2=-3

Concept- When we know the value of one variable in an equation, we can quickly compute the value of the second variable because the equation only has two variables. For the sake of clarity, consecutive integers should typically be utilized.Given, ab =−3a=-3bWe obtain corresponding values of a, such as by applying various values to b.(i) b=1, thena=-3b=-3×1=-3(-3,1)(ii) b=3,a=-3×3=-9(-9,3)(iii) b=4,a=-3×4=-12(-12,4)(iv) b=5a=-3×5=-15(-15,5)(v) b=6a=-3×6=-18(-18,6)So, the correct answer is (-3,1), (-9,3), (-12,4), (-15,5) and (-18,6).Hence, option 1 is correct.

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_______are five pairs of integers (a, b) such that $\frac{a}{b}$ =−3. One such pair is (6, -2) because $\frac{6}{- 2} = - 3$

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(-3,1), (-9,3), (-12,4), (-15,5) and (-18,6)

(-3,1), (-3,3), (-12,4), (-15,5) and (-18,6)

(-3,1), (-9,3), (-12,4), (-5,5) and (-18,6)

None of these

answer is A.

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Detailed Solution

Concept- When we know the value of one variable in an equation, we can quickly compute the value of the second variable because the equation only has two variables. For the sake of clarity, consecutive integers should typically be utilized.
Given,