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)
Two consecutive even integers are
x, x + 2
x, x + 1
x, x - 1
x, 2x
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
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
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
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
The equation 4x2 + 3x + 5 = 0 has
No real roots
Equal roots
Different roots
No roots
The sum of the square of two consecutive natural numbers is 25. Represent this situation in the form of a quadratic equation.
x2 + (x + 1)2 = 25
x2 - (x + 1)2 = 25
(x + 1)2 - x2 = 25
x2 - (x + 1)2 + 25 = 0
If x2 + y2 = 25, xy = 12, then x =
{3, 4}
{3, -3}
{3, 4, -3, -4}
{-3, -3}
