quadratic

1. let f(x)=x2+bx+c,where b,c ε 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

4 Answers

62
Lokesh Verma ·

This first was solved by prophet sir yesterday..

I will post the link in a minute..

anyone else who wants to solve it?

21
tapanmast Vora ·

3P - Q techn. ROCKSSSS!!!

62
Lokesh Verma ·

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

341
Hari Shankar ·

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)

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