Assertion (A) : (p - q)-1 (p-1 - q-1) = -(pq)-1. Reason (R) : a-1 and a1 are multiplication reciprocal to each other. 1. Both A and R are correct, and R is the correct explanation for A. 2. Both A and R are correct, and R is not the correct explanation for A. 3. A is true, but R is false. 4. A is false, but R is true.

According to assertion : (p - q)-1(p-1 - q-1) = -(pq)-1 Solving L.H.S., Since, L.H.S. = R.H.S. So, assertion (A) is true. Multiplying a-1 and a1, we get : ⇒ a-1 x a1 ⇒ x a ⇒ 1 Thus, a-1 and a1 are multiplication reciprocal to each other. So, reason is true but it does not explains assertion. Hence, option 2 is the correct option.

Mathematics

Assertion (A) : (p - q)^-1 (p^-1 - q^-1) = -(pq)^-1.
Reason (R) : a^-1 and a¹ are multiplication reciprocal to each other.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.

Exponents

3 Likes

Answered By

2 Likes

Mathematics

Exponents

Related Questions