Question:medium

Function \(f(x)\) is defined as \(f(x) = \begin{cases} 3x, & x<1 \\ a-b, & x = 1 \\ 4b-a, & x>1 \end{cases}\) If \(f(x)\) is continuous at \(x = 1\), but discontinuous at \(x = 2\) then the locus of the point \((a, b)\) is a straight line excluding the point where it cuts the line

Show Hint

Use continuity conditions and exclusion conditions to find the locus.
Updated On: Apr 23, 2026
  • \(y = 3\)
  • \(y = 2\)
  • \(y = 1\)
  • \(y = 0\)
Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?
0