JEE Main 2022 Mathematics question
If the coefficients of x and in the expansion of (1 + − , p, , are −3 and −5 respectively, then the coefficient of is equal to .
Answer: 23
Solution
The coefficient of x is p − q = −3. The coefficient of is − pq + = −5, i.e. p(p − 1)/2 − pq + q(q − 1)/2 = −5. With p = q − 3 this gives q = 11 and
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