If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \) then....

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=qKwqF-nYB2o



Duration: 7:05
1 views
0


If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \) then
\( \mathrm{P} \)
(1) \( |a| \leq 8 \)
W
(2) \( |b| \leq 8 \)
(3) \( |c| \leq 1 \)
(4) \( |a|+|b|+|c| \leq 17 \)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-21If \( \Delta=\left|\begin{array}{ccc}1 & 3 \cos \theta & 1 \\ \sin \theta & 1 & 3 \cos \theta \\....
2024-01-21If \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are such that \( \mathrm{A}+\mathrm{B}+\mat....
2024-01-21Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline \multirow....
2024-01-21Let \( m \) be a positive integer \( \& \) \[ D_{r}=\left|\begin{array}{ccc} 2 r-1 & { }^{m} C_{....
2024-01-21If the system of equations \[ \left.\begin{array}{l} x-\lambda y-z=0 \\ \lambda x-y-z=0 \\ x+y-z....
2024-01-21The value of \( \left|\begin{array}{ccc}-1 & 2 & 1 \\ 3+2 \sqrt{2} & 2+2 \sqrt{2} & 1 \\ 3-2 \sq....
2024-01-21The determinant \( \left|\begin{array}{ccc}x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z\e....
2024-01-21Area of triangle whose vertices \( \left(a, a^{2}\right)\left(b, b^{2}\right)\left(c, c^{2}\righ....
2024-01-21The system of equations \[ \begin{array}{l} \mathrm{kx}+(\mathrm{k}+1) \mathrm{y}+(\mathrm{k}-1)....
2024-01-21Let \( \alpha, \beta \) be the roots of the equation \( \mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}=0....
2024-01-21If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \) then....
2024-01-21The value of \[ \begin{array}{l} 6+\log _{3 / 2}\left(\frac{1}{3 \sqrt{2}} \sqrt{4-\frac{1}{3 \s....
2024-01-21If the system of equations \[ \begin{array}{l} x+2 y+2 z=1 \\ x-y+3 z=3 \\ x+11 y-z=b \end{array....
2024-01-21Let \( f(x)=a x^{2}+b x+c ; a, b, c \in R \) It is given \( |f(x)| \leq 1, \forall|x| \leq 1 \).....
2024-01-21Let \( f(x)=\left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & 1+....
2024-01-21Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline (A) & \be....
2024-01-21Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline (A) & \( ....
2024-01-21If \( \alpha, \beta \& \gamma \) are the roots of the equation \( \mathrm{x}^{3}+\mathrm{px}+\ma....
2024-01-21There are two values of \( x \) making the value of the determinant \( \left|\begin{array}{ccc}1....
2024-01-21The largest angle of a triangle is twice the sum of the other two, The smaller angle is one four....
2024-01-21If \( p x^{4}+q x^{3}+r x^{2}+s x+t=\left|\begin{array}{ccc}x^{2}+3 x & x-1 & x+3 \\ x+1 & 2-x &....