Home
Class 12
MATHS
If| ax^2 + bx+c | le 1 for all x in [0, ...

If| `ax^2 + bx+c | le 1 `for all `x in [0, 1]`,then
(A) `|a| le 8`
(B) `|b| le 8`
(C) `|c| le 1`
(D) `|a| + |b| + |c| le 17`

Promotional Banner

Similar Questions

Explore conceptually related problems

If all the roots of z^3+az^2+bz+c=0 are of unit modulus, then (A) |a|le3 (B) |b|le3 (C) |c|=1 (D) none of these

If al the roots oif z^3+az^2+bz+c=0 are of unit modulus, then (A) |a|le3 (B) |b|le3 (C) |c|=1 (D) none of these

Let B =2 sin ^(2) x - cos 2x, then ............... A) -1 le B le 3 B) 0 le B le 2 C) -1 le B le 1 D) -2 le B le 2

Solve the following : (a) 1 le |x-2| le 3 " (b) "0 lt |x-3|le 5 (c ) |x-2|+|2x-3|=|x-1| " (d) " |(x-3)/(x+1)| le1

Solve the following : (a) 1 le |x-2| le 3 " (b) "0 lt |x-3|le 5 (c ) |x-2|+|2x-3|=|x-1| " (d) " |(x-3)/(x+1)| le1

Solve the following : (a) 1 le |x-2| le 3 " (b) "0 lt |x-3|le 5 (c ) |x-2|+|2x-3|=|x-1| " (d) " |(x-3)/(x+1)| le1

If f(x) = ax^(2) + bx + c is such that |f(0)| le 1, |f(1)| le 1 and |f(-1)| le 1 , prove that |f(x)| le 5//4, AA x in [-1, 1]

If f(x) = ax^(2) + bx + c is such that |f(0)| le 1, |f(1)| le 1 and |f(-1)| le 1 , prove that |f(x)| le 5//4, AA x in [-1, 1]