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If b² ≥ 4ac for the equation ax⁴ + bx² + c = 0, then all the roots of the equation will be real positive, if

1) b > 0, a < 0, c > 0 2) b < 0, a > 0, c > 0... View Article

1) real and equal 2) unequal and rational 3) unequal and irrational 4) nothing can be said – Solution: (4)... View Article

1) (0 , 2 tan-1 1/4 ) 2) (0 , 2π/3) 3) (0 , π) 4) (0 , 2π) Solution:... View Article

1) (- 3 , 3 ) 2) (- 3 ,∞ ) 3) (3 , ∞ ) 4) (- ∞, –... View Article

1) max (p, q) < max (p, q, r) 2) min (p, q) = (1 / 2) [p + q... View Article

1) 1 2) 2 3) 3 4) 4 Solution: (2) 2 It is given that x2 – 2x (1 +... View Article

1) no real root 2) one real root 3) two real roots 4) four real roots Solution: (4) four real... View Article

1) -6 2) -9 3) 6 4) -3 Solution: (4) -3 x3 – 6x + 9 = 0 ⇒ (x... View Article

1) equal 2) imaginary 3) real 4) None of these Solution: (3) real Given a + b + c =... View Article

1) 4 2) 2 3) 0 4) 1 Solution: (1) 4 x4 + √x4 + 20 = 22 x4 –... View Article

1) ± a 2) ± (1/2) a 3) ± (3/2)a 4) ± 2a Solution: (2) ± (1 / 2) a... View Article

1) real and distinct 2) imaginary 3) equal 4) rational and equal Solution: (2) imaginary It is given that f... View Article

1) equal 2) imaginary 3) real and distinct 4) rational and equal Solution: (3) real and distinct (x – a)... View Article

1) |(r / p) – 7| ≥ 4 √3 2)|(p / r) – 7| < 4 √3 3) all p... View Article

1) 81 2) 1/81 3) 1/64 4) None of these Solution: (2) 1 / 81 ax2 + bx + c... View Article

1) at least one real solution 2) exactly three real solutions 3) exactly one irrational solution 4) complex roots Solution:... View Article

1) 3 ± 2√2 2) ± 1 3) ± 3√3, ± 2√2 4) ± 7, ± √3 5) ± 3,... View Article

1) x ϵ ∅ 2) x ϵ [1 , 2] 3) x ϵ [3 , ∞) 4) x ϵ (-... View Article

1) town B 2) 45 km from town A 3) town A 4) 45 km from town B Solution: (3)... View Article

1) 10 2) 22 3) 30 4) 29 5) 31 Solution: (5) 31 (3 / 2) + (7 / 2)... View Article