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If $f(x) = \begin{cases} x+1, & x \le 1 \\ 3 - ax^2, & x>1 \end{cases}$ is continuous at $x = 1$, then $a$ is
If $f(x) = \begin{cases} x+1, & x \le 1 \\ 3 - ax^2, & x>1 \end{cases}$ is continuous at $x = 1$, then $a$ is
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Continuity condition: LHL $=$ RHL $= f(a)$. Always check all three for piecewise functions.
Updated On: Apr 8, 2026
- 1
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- $-3$
- $-2$
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The Correct Option is A
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