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Composite Function

The set of va...

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The set of value of lamda for which the equation x^3 - 3x + lamda = 0 has three distinct real roots, is

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Q. The set of values of 'a'for which the equation

x^{3} - 3 x + a = 0

has three distinct real roots , is

Q. The set of values of 'a'for which the equation

x^{3} - 3 x + a = 0

has three distinct real roots , is

Q. The real number k for which the equation

x^{3} + 3 x + k = 0

has two distinct real roots in [0,1]

Q. Which of the following could be the possible integral value(s) of 'a' for which the equation

x^{3} - 3 x + a = 0

has three distinct roots?

Q. Suppose cubic equation

x^{3} - p x + q = 0

has three distinct & real roots

(p, q > 0)

then which of the following is true for

f (x) = x^{3} - p x + q = 0

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