If the sum of the squares of two consecutive positive even numbers is 340, then what is the sum of the two even numbers?
24
26
28
30
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 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 x2 + y2 = 25, xy = 12, then x =
{3, 4}
{3, -3}
{3, 4, -3, -4}
{-3, -3}
The equation 4x2 + 3x + 5 = 0 has
No real roots
Equal roots
Different roots
No roots
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
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 discriminant of the quadratic equation x2 - 4x + 4 = 0 is
0
4
-4
-16
Find the value of k of the quadratic equation 2x2 + kx + 3 = 0, so that it has equal roots.
± 2√3
± 2√6
± 2√7
± √2
