and are two non-zero unequal rational numbers. Which of the following can't be equal to 1? (i) (ii) (iii) (iv) 1. only (i) 2. only (iv) 3. (i) and (ii) 4. (i) and (iv)

Question

KnowledgeBoat · Accepted Answer

Examine each expression separately, keeping in mind that and are non-zero and . (i) As , the numerator is non-zero and So, this expression is always equal to -1 and can never be equal to 1. (ii) Here the numerator and the denominator are the same, as by the commutative law of addition. So, this expression is equal to 1. (iii) Here the numerator and the denominator are the same, as by the commutative law of multiplication. So, this expression is equal to 1. (iv) Dividing, This is equal to 1 whenever , which happens for . For example, taking and , we get So, this expression can be equal to 1. Thus, only expression (i) can never be equal to 1. Hence, Option 1 is the correct option.

Mathematics

and are two non-zero unequal rational numbers. Which of the following can't be equal to 1? (i) (ii) (iii) (iv) 1. only (i) 2. only (iv) 3. (i) and (ii) 4. (i) and (iv)

Rational Numbers

Related Questions

a and b are two rational numbers such that a + b = 3. When we divide a by b, the closure property of rational numbers does not hold true. The values of ab and a - b respectively are:
0, -3
0, 0
0, 3
3, 3

Mathematics

and are two non-zero unequal rational numbers. Which of the following can't be equal to 1? (i) (ii) (iii) (iv) 1. only (i) 2. only (iv) 3. (i) and (ii) 4. (i) and (iv)

Rational Numbers

Related Questions

a and b are two rational numbers such that a + b = 3. When we divide a by b, the closure property of rational numbers does not hold true. The values of ab and a - b respectively are:0, -30, 00, 33, 3

a and b are two rational numbers such that a + b = 3. When we divide a by b, the closure property of rational numbers does not hold true. The values of ab and a - b respectively are:
0, -3
0, 0
0, 3
3, 3