If the fraction is obtained by adding the two fractions and , then the values of A and B must be:

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A = 3

, B = -1

answer is C.

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Detailed Solution

Concept- Based on the condition mention in the question, we will form an equation with

on the LHS and the summation of

and

on the RHS.
Then, we will simplify the summation on the RHS by performing basic addition of fractions and then compare the numerators of the LHS and RHS as well as the denominators.
Then, we will obtain relations between our concerned variables “A” and “B” and from these relations, we will have to calculate the values of A and B.
Given,
Question Image

Comparing the Denominators on the RHS and LHS, we can see that both are the same.
But in the case of the numerators,
Question Image

Hence, the correct option is 3.

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