Page 31 - CHAPTER 4 (Quadratic equations)

CHAPTER 4
QUADRATIC EQUATIONS

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33. If 2+√3 and 2-√3 are the roots of the equation ax +bx-1=0 then value
of a+b equals to :

(1) 3 (2) -3 (3) 5 (4) -5

34. If α and β are roots of the equation x +2x+3=0, then the equation
2
β
α
having roots and , is given as :
β α
(1) 3x²-2x+3=0 (2) 3x²-2x+9=0

(3) 3x²-2x-3=0 (4) 3x²-2x-9=0

2
α
35. If and are roots of the equation x -2x+4=0 then the value of +
2
β
β 2 is equals to :
α
(1) 4 (2)–4 (3) 8 (4)–8

36. If Roots of the equation x + (a+b)x + (a-b) = 0 are 4 and 2 then values
2
of a and b equals to

(1) a = 9, b = 1 (2) a = 1, b = -7

(3) a = 7, b = -1 (4)a = -1, b = -7

37. The equation √x+10 - 6 =5 has
√x+10
(1) An extraneous root between -5 and -1

(2)An extraneous root between -10 and -6

(3)Two extraneous root

(4)A real root between 20 and 25

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38. If one root of x + ax + 3= 0 is 3 and the equation x + ax + b = 0 has
equal roots then b equals

(1) 1 (2) 2 (3) 3 (4) 4

39. Solve the following quadratic equation by factorization method :

a a+b
x²+ ( + ) x +1=0
a+b a

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