Question:
If \(f(x)=ax^2+bx+c\) and \(f(0)=3\), \(f(1)=1\), \(3f(2)=5\) then \(a:b:c=\)
If \(f(x)=ax^2+bx+c\) and \(f(0)=3\), \(f(1)=1\), \(3f(2)=5\) then \(a:b:c=\)
Updated On: May 4, 2024
- 1:2:3
- 3:-2:9
- 4:-10:9
- 4:2:9
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C): 4:-10:9
Was this answer helpful?
0
0
Top Questions on types of differential equations
- Let the system of equations \(x+2y+3z = 5\), \(2x+3y+z = 9\), \(4x+3y+λz = μ\) have an infinite number of solutions. Then \(λ + 2μ\) is equal to
- JEE Main - 2024
- Mathematics
- types of differential equations
- let Dk=\(\begin{vmatrix} 1 & 2k& 2k-1\\ n & n^2+n+2 & n^2\\ n & n^2+n & n^2+n+2 \end{vmatrix}\) if \(∑^n_{ k=1}\) Dk=96, Then n is equal to
- JEE Main - 2023
- Mathematics
- types of differential equations
- Let g(x) = f(x) + f(1 - x) and f''(x) > 0, x ∈ (0,1). If g is decreasing in the interval (0, α) and increasing in the interval (α, 1), then tan-1 (2α) + tan-1 (\(\frac{1}{α}\)) + tan-1\( (\frac{α+1}{α})\) is equal to
- JEE Main - 2023
- Mathematics
- types of differential equations
- In the figure, θ1 + θ2 = \(\frac{π}{2}\) and √3 (BE) = 4 (AB). If the area of ΔCAB is 2√3 - 3 unit2 , when \(\frac{θ_2}{θ_1}\) is the largest, then the perimeter (in unit) of ΔCED is equal to ________.
- JEE Main - 2023
- Mathematics
- types of differential equations
- \(max\\{0≤x≤π}\) \(\{x−2\,\, sin. x \,\,cos+\frac{1}{3} sin\,\, 3x \}=\)
- JEE Main - 2023
- Mathematics
- types of differential equations
View More Questions
Questions Asked in WBJEE JENPAS UG exam
- In a class of 165 students, 45 students are passed in Mathematics as well as in English, whereas 60 students are failed in Mathematics and 65 students are failed in English. How many students are passed in exactly one subject?
- WBJEE JENPAS UG - 2023
- Percentages
- When a spring is stretched by x amount, the potential energy stored in it is E. When the spring is stretched by another x amount, the potential energy stored in the spring becomes E'. Then \(\frac{E'}{E}\) is,
- WBJEE JENPAS UG - 2023
- work, energy and power
- If dissociation constant of acetic acid is \(1.6×10^{-5}\), the hydrolysis constant of sodium acetate is
- WBJEE JENPAS UG - 2023
- Acids and Bases
- A conducting circular loop of radius 'a' and resistance R is kept on a horizontal plane. A vertical time-varying magnetic field B = 2t is switched on at time t = 0. Then which of the following statement(s) is/are correct?
- WBJEE JENPAS UG - 2023
- Resistance
- The volume of a certain amount of ideal gas at 30°C and 200 cm of Hg pressure is 90 ml. The gas is expanded to 300 ml keeping the temperature constant, then the pressure of the expanded gas is
- WBJEE JENPAS UG - 2023
- Density and Pressure
View More Questions