Exams
Subjects
Classes
Home
Exams
Mathematics
Continuity
if the function f x ax b ...
Question:
medium
If the function \( f(x) = ax + b \), \( 2 < x < 4 \), is continuous at \( x = 2 \) and 4, then the values of \( a \) and \( b \) are:
Show Hint
To ensure continuity at certain points, solve for the coefficients using the given values at those points.
BITSAT - 2012
BITSAT
Updated On:
Mar 25, 2026
\( a = 3, b = 5 \)
\( a = 0, b = 3 \)
\( a = 0, b = 5 \)
\( a = 3, b = 0 \)
Show Solution
The Correct Option is
B
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Continuity
The function \(f(x) = x - |x - x^2|\), \(-1 \le x \le 1\) is continuous on
BITSAT - 2017
Mathematics
Continuity
View Solution
Consider the following statements in respect of the function f(x)=x³-1, x∈[-1,1]: I. f(x) is continuous in [-1,1]. II. f(x) has no root in (-1,1). Which of the statements given above is/are correct?
BITSAT - 2016
Mathematics
Continuity
View Solution
Let \[ f(x)= \begin{cases} \dfrac{1-\sin^3 x}{3\cos^2 x}, & x < \dfrac{\pi}{2} \\ [6pt] p, & x = \dfrac{\pi}{2} \\ [6pt] \dfrac{q(1-\sin x)}{(\pi-2x)^2}, & x > \dfrac{\pi}{2} \end{cases} \] If \(f(x)\) is continuous at \(x=\dfrac{\pi}{2}\), then \((p,q)=\)
BITSAT - 2014
Mathematics
Continuity
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in BITSAT exam
What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
BITSAT - 2025
Vector Algebra
View Solution
In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?
BITSAT - 2025
kinetic theory
View Solution
A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
BITSAT - 2025
Kinematics
View Solution
Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?
BITSAT - 2025
Mechanics
View Solution
A simple pendulum of length 1 m is oscillating with an amplitude of 0.1 m. What is the maximum tension in the string if the mass of the bob is 0.2 kg? (Assume \( g = 10 \, \text{m/s}^2 \))
BITSAT - 2025
Pendulums
View Solution