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UP TGT Mathematics Algebra Test Series - Part 3

If α, β are roots of x^2 - p(x + 1) - c = 0, then (α + 1)(β + 1) equals:

Type: MCQ • Marks: 1
If α, β are roots of x^2 - p(x + 1) - c = 0, then (α + 1)(β + 1) equals:
Options
A. c - 1
B. 1 + c
C. 1 - c
D. -c
Explanation
Equation: x^2 - px - p - c = 0. Sum of roots α + β = p, product αβ = -(p + c). (α + 1)(β + 1) = αβ + (α + β) + 1 = -(p + c) + p + 1 = -p - c + p + 1 = 1 - c.
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UP TGT Mathematics

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