If the equation x2 + 4x + k has real and distinct roots, then
k = 4
k ≥ 4
k < 4
k ≤ 4
Two consecutive even integers are
x, x + 2
x, x + 1
x, x - 1
x, 2x
If the roots of the quadratic equation ax2 + bx + c are sin α and cos α, then
a2 + b2 = c2
a2 - 2bc = b2
b2 + 2ac = a2
b2 - 2ac = a2
Form a quadratic equation whose roots are 1 + √5 and 1 - √5.
x2 - 2x - 4 = 0
x2 + 2x + 4 = 0
x2 + 2x - 4 = 0
x2 - 2x + 4 = 0
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
If x2 + y2 = 25, xy = 12, then x =
{3, 4}
{3, -3}
{3, 4, -3, -4}
{-3, -3}
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
Find the nature of the roots of the quadratic equation 2x2 - 6x + 3 = 0.
Two distinct real roots
Two equal real roots
No real roots
No roots
Find two consecutive positive integers, sum of whose squares is 365.
12, 13
13, 14
14, 15
15, 16
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
