Page 30 - CHAPTER 4 (Quadratic equations)

CHAPTER 4

QUADRATIC EQUATIONS

26. Out of a group of swans, 7/2 times the square root of the total

number of swans are on the bank of a pond. Two swans are in the

water. The total number of swans is?

(1) 16 (2)17 (3) 18 (4) 19

27. If a root of the equation ax²+bx+c=0 be reciprocal of a root of the

'
'
' 2
equation a x +b x+c =0 then
2
’
’
’
’
’
’
(1) (cc -aa ) = (ba -cb ) (ab -bc )
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'
'
(2) bb -aa')²=(ca -bc') (ab -bc')
(3) (cc-aa’)² = (ba’+cb’) (ab’+bc’)
2
'
'
(4) (c-c ) =(a-a )²
28. If x= 1+ 1+√1+… ∞, then is equal to
√ √

(1) 1+√5 (2) 1-√5 (3) 1±√5 (4) 1±√35
2 2 2 2
29. If x +5x+6+k=0, then the value of k for which the roots of the given
2
equation differ by 1 is

(1) 0 (2) 1 (3) 2 (4) 3

30. The values of k for which the roots of equation 2x +kx+2=0 are real
2
and equal

(1) 4 (2)-4

(3) ± 4 (4) Cannot be determined

31. If the roots of the equation (a-b)x +(b-c)x+(c-a)=0 are equal, then
2
(1) 2b=a+c (2) 2a=b+c

(3) 2c=a+b (4) None

32. Determine values of p for which the equation x2-px-2=0 has real

and distinct roots is

(1) p < 2 (2) p > -2

(3) -2 < p < 2 (4) All real values of p

30