Question:
If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
Show Hint
Minimum of ax²+bx+c occurs at x=-(b)/(2a).
Updated On: Mar 20, 2026
- \( \dfrac{2}{3} \)
- \( -\dfrac{9}{4} \)
- \( \dfrac{9}{4} \)
- 1
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The minimum value of a quadratic x²+ax+b occurs at x=-(a)/(2):
min = b-(a²)/(4)=-(9)/(4)
Was this answer helpful?
0
0
Top BITSAT Quantitative Aptitude Questions
- If α,β are the roots of x²-2x-1=0, then the value of α²β²-α²-β² is
- If a,b,c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
- Evaluate limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ), where a>b>1
- If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
- If a,b,c are real numbers then the roots of (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
View More Questions
Top BITSAT Quadratic Equations Questions
- If α,β are the roots of x²-2x-1=0, then the value of α²β²-α²-β² is
- If a,b,c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
- If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
- If a,b,c are real numbers then the roots of (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions