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Consider the functionx f(x) = x3-6x2+9x+k,where k is an integer i If two roots of f(x)are equal to k where k belongs to (0,4) ii If two roots of f(x)are equal to k where k belongs to (-4,0) iii If f(x) = 0 has 3 distinct real roots the number of such value of k is 3 iv If k belongs to N, f(x) = 0 has exactly one real root. Which of the following statements are correct. More than one answer may be correct. In the first equation it is f(x) = x cube - 6x square + 9x+k where k is an integer

Consider the functionx f(x) = x3-6x2+9x+k,where k is an integer


i If two roots of f(x)are equal to k where k belongs to (0,4)


ii If two roots of f(x)are equal to k where k belongs to (-4,0)


iii If f(x) = 0 has 3 distinct real roots the number of such value of k is 3 


iv If k belongs to N, f(x) = 0 has exactly one real root.


Which of the following statements are correct.


More than one answer may be correct.


In the first equation it is f(x) = x cube -  6x square + 9x+k where k is an integer

Grade:12th Pass

1 Answers

pankaj gupta
14 Points
9 years ago

I had mistaken in writing the question the question is 

Consider the functionx f(x) = x3-6x2+9x+k,where k is an integer

i If two roots of f(x)are equal  where k belongs to (0,4)

ii If two roots of f(x)are equal  where k belongs to (-4,0)

iii If f(x) = 0 has 3 distinct real roots the number of such value of k is 3 

iv If k belongs to N, f(x) = 0 has exactly one real root.

Which of the following statements are correct.

More than one answer may be correct.

In the first equation it is f(x) = x cube -  6x square + 9x+k where k is an integer

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