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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
If the first, second and the last terms of an A.P. are a,b,ca, b, c respectively, then the sum is
(a+b)(a+c−2b)2(b−a)\frac{(a+b)(a+c-2 b)}{2(b-a)}
(b+c)(a+b−2c)2(b−a)\frac{(b+c)(a+b-2 c)}{2(b-a)}
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Correct option: C
(b+c)(a+b−2c)2(b−a)\frac{{\left( {b + c} \right)\left( {a + b - 2c} \right)}}{{2\left( {b - a} \right)}}
Option C ((b+c)(a+b−2c)2(b−a)\frac{{\left( {b + c} \right)\left( {a + b - 2c} \right)}}{{2\left( {b - a} \right)}}) is correct because it represents the sum of an arithmetic progression with given first, second, and last terms.

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