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
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
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
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
The roots of the quadratic equation x2 - 2x + 1 = 0 are
1, 1
1, -1
-1, -1
2, 2
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
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
