relate b and c

BITSAT Papers › Algebra questions › relate b and c

if the range of tan^-1 (3x² + bx + c) is [0,pi/2) then relate b and c.

#Mathematics #Algebra

UP 0 DOWN 0 0 7
Post on FacebookPost anonymously?

7 Answers

262

Aditya Bhutra ·2012-05-08 06:52:36

yes , my fault.

UP 1 DOWN 0
Post on FacebookPost anonymously?

262

Aditya Bhutra ·2012-05-08 01:30:55

0 â‰¤ tan^-1(x) < pi/2 for xâ†’[0,âˆž)

thus ,

0 â‰¤ 3x² +bx +c < âˆž

Discriminant â‰¤0

b²-12c â‰¤ 0

UP 0 DOWN 0
Post on FacebookPost anonymously?

36

rahul ·2012-05-08 03:31:48

why is discriminant less than 0

i guess only equal to 0

and so its b² = 12c and not b² - 1c < 0....

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

saahilsud t ·2012-05-11 11:32:02

can you please explain why discriminant is equal to 0

UP 0 DOWN 0
Post on FacebookPost anonymously?

36

rahul ·2012-05-13 01:22:52

yes, the parabola is upward opening and touches the axis......

and, if ax² + bx + c > 0 and a > 0 then D = 0

if the case would have been,

ax² + bx + c > 0 and a > 0 then one could say D > 0

there's no such case like D > 0

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

saahilsud t ·2012-05-14 08:34:13

thnxx man i got it

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

epsilon ·2012-05-21 15:42:28

yes it is b²=12c.

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω