" (ii) "x^(2)-4x+b=0

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

If alpha,beta are the roots of x^(2)+2x+5= (then the equation whose roots are (alpha+1)/(alpha),(beta+1)/(beta) is (A) 5x^(2)-9x+4=0 (B) 5x^(2)-8x+4=0 (C) 5x^(2)-10x+4=0 (D) 5x^(2)+9x+4=0

If B = [{:(-1, 0), (2, 4):}] " and " f(x) = x^(2) - 4x + 5, then find f(B).

If alpha and beta where alpha,beta in R are the roots of equation x^(2)+4x+b=0 and | alpha-beta|<=2 ,then the complete range of b is

Determine the nature of the roots of the following equatins : (a) x^(3) + 2x +4 = 0 (b) 3x^(2) - 10x + 3 = 0 (c ) x^(2) - 24x + 144 = 0

If the quadratic equation x^(2)+[3a-b+4]x+b=0 has roots 1 and 2 where [.] is greatest integer function,then set of values of a is

If the equation x^(2)-4x+5=0 & x^(2)+ax+b=0; a,b in R have a common root.find a and b

If A={2x:x in N and x<3} , B= {x:x^(2)-4x+3=0 and xgt1} , then A times B=

alpha, beta are roots of quadratic equation such that alpha+beta=-4 and alpha beta=-1 , then required equation is……….a) x^2-4x-1=0 b) x^2+4x-1=0 c) x^2+4x+1=0 d) x^2-4x+1=0