The equation 4x2 + 3x + 5 = 0 has
No real roots
Equal roots
Different roots
No roots
If the equation x2 + 4x + k has real and distinct roots, then
k = 4
k ≥ 4
k < 4
k ≤ 4
If α, β are the roots of x2 - 2px + q = 0 and γ, δ are roots of x2 - 2rx + s = 0 and α, β, γ, δ are in A.P then
p - q = r2 - s2
s - q = r2 - p2
r - s = p2 - q2
r - s = p - q
Which of the following is a quadratic equation ?
x + 1/x + x3 = 0
x3 - 7x2 + 3x - 5 = 0
3x2 - 5x + 3 = x2 - x + 1
3x3 - 5x + 3 = x3 - x + 1
Find the value of the discriminant for the quadratic equation x2 + 4x - 21 = 0
99
98
100
101
A lotus is 2 m above the water in a pond. Due to wind the lotus slides on the side and only the stem completelysubmerges in the water at a distance of 10 m from the original position. Then the depth of water in the pond is
12 m
20 m
24 m
18 m
The roots of the quadratic equation x2 - 2x + 1 = 0 are
1, 1
1, -1
-1, -1
2, 2
The roots of the quadratic equation 6x2 - x - 2 = 0 are
(2/3, 1)
(-2/3, -1/2)
(2/3, -1/2)
(1/2, -2/3)
Find the nature of the roots of the quadratic equation 2x2 - 6x + 3 = 0.
Two distinct real roots
Two equal real roots
At present, Meenakshi's mother is twenty-five years older than her. Eight years ago, the product of their ages was 600. After how many years will Meenakshi's mother be 60 years old?
12
14
24
30
