quadratic

BITSAT Papers › Algebra questions › quadratic

1. let f(x)=x²+bx+c,where b,c Îµ R.if f(x) is a factor of both x⁴+6x²+25 and 3x⁴+4x²+28x+5,then least value of f(x) is
a. 2 b. 3
c. 5/2 d. 4
2. the number of ordered pair of positive integers x,y such that x²+3y and y²+3x are both perfect squares is

a. 2 b. 3
c. 4 d. 5

please help me with these questions

#Mathematics #Algebra

UP 0 DOWN 0 0 4
Post on FacebookPost anonymously?

4 Answers

62

Lokesh Verma ·2009-03-28 00:17:45

This first was solved by prophet sir yesterday..

I will post the link in a minute..

anyone else who wants to solve it?

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

tapanmast Vora ·2009-03-28 00:18:23

3P - Q techn. ROCKSSSS!!!

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-03-28 00:21:50

http://targetiit.com/iit_jee_forum/posts/quadratic_4035.html

UP 0 DOWN 0
Post on FacebookPost anonymously?

341

Hari Shankar ·2009-03-28 02:24:29

For 2: http://www.goiit.com/posts/list/algebra-challenging-question-1-72596.htm#358205

(though I dont understand what such problems are doing in a JEE aspirant's course)

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