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JEE Previous Year Question

$If f (x) = (\frac{x ^{2} - ( a + 2 ) x + a}{x - 2}, x \neq = 22, x = 2) is continuous at x = 2, then the value of a is$

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

A $-1$
B $-6$
C $0$
D $1$

Correct answer: C

Solution

(c) : Lt_{x \to 2} \frac{x ^{2} - ( a + 2 ) x + a}{x - 2} = 2 \Rightarrow 4 - a - 2 = 2 \Rightarrow a = 0

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