1) -5 , - 30 2) -5 , 30 3) 5 , 30 4) None of these Solution: (2) -5 , 30 The function f (x) = 2x3 + mx2 - 13x + n has three roots. Let the... View Article
1) positive 2) negative 3) real 4) imaginary Solution: (3) real (x - a) ( x - b) + (x - b) (x - c) + (x - c) (x - a) = 0 3x2 - 2 (a + b + c)... View Article
1) log(2 + √5) 2) - log(2 + √5) 3) log( - 2 + √5) 4) None of the above Solution: (4) None of the above ecos x - e-cos x = 4 Put ecosx = t t... View Article
1) 0, 1 2) - 1, 1 3) 0, - 1 4) - 1, 2 Solution: (3) 0, - 1 It is given that 1 - p is a root of x2 + px + 1 - p = 0. => (1 - p)2 + p (1 -... View Article
1) real and equal 2) unequal and rational 3) unequal and irrational 4) nothing can be said - Solution: (4) nothing can be said (p - q)x2 +... View Article
1) no real root 2) one real root 3) two real roots 4) four real roots Solution: (4) four real roots The given equation is x2 - 3|x| + 2 = 0... View Article