JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

\left( {{a^2} - 3a + 2} \right){x^2} + \left( {{a^2} - 5a + 6} \right)x + a - 2 = r

for three distinct values of

x

for some

r \in R,\;\,\mathrm{if}

a + r

is equal to

View answer and explanation

Correct option: B

Option B (2) is correct because when a = 2, the equation holds true for three distinct values of x, and r = 0, thus a + r = 2.

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