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
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
The standard form of a quadratic equation is
ax + b = 0, a ≠ 0
ax2 + bx + c = 0, a ≠ 0
ax3 + bx2 + cx + d = 0, a ≠ 0
ax4 + bx3 + c2 + dx + e = 0, a ≠ 0
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
If x2 + y2 = 25, xy = 12, then x =
{3, 4}
{3, -3}
{3, 4, -3, -4}
{-3, -3}
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
The equation 4x2 + 3x + 5 = 0 has
No real roots
Equal roots
Different roots
No roots
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)
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 discriminant of the quadratic equation x2 - 4x + 4 = 0 is
0
4
-4
-16
