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Quadratic Equations
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Find the roots of quadratic equation: 2x2 + 5x + 2 = 0
-2, -1/2
4, 1
NONE OF THESE
-2, 5/2
4, -1
I. a2 - 13a + 42 = 0,
II. b2 - 15b + 56 = 0 to solve both the equations to find the values of a and b
If a ≥ b
If a = b or the relationship between a and b cannot be established.
If a ≤ b
If a > b
If a < b
I. a3 - 988 = 343,
II. b2 - 72 = 49 to solve both the equations to find the values of a and b
If a < b
If a ≤ b
If a ≥ b
If a > b
If a = b or the relationship between a and b cannot be established.
I. a2 + 8a + 16 = 0,
II. b2 - 4b + 3 = 0 to solve both the equations to find the values of a and b
If a < b
If a > b
If the relationship between a and b cannot be established
If a ≥ b
If a ≤ b
The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are
10, 3
-10, 3
NONE OF THESE
20, -3
-10, -3
I. a2 - 7a + 12 = 0,
II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b
If a < b
If a ≤ b
If a ≥ b
if the relationship between a and b cannot be established.
If a > b
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0
24
14
15
26
NONE OF THESE
One root of the quadratic equation x2 - 12x + a = 0, is thrice theother.
Find the value of a
28
-27
29
NONE OF THESE
7
I. x2 - x - 42 = 0,
II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y
If x ≤ y
If x < y
If x = y or the relationship between x and y cannot be established.
If x > y
If x ≥ y
The sum of the square of the three consecutive even natural numbers is1460.
Find the numbers
24, 26, 28
18, 20, 22
NONE OF THESE
20, 22, 24
22, 24, 26
The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers
10, 11
12, 13
NONE OF THESE
9, 10
11, 12
If the roots of a quadratic equation are 20 and -7, then find the equation
x2 - 13x - 140 = 0
NONE OF THESE
x2 + 13x + 140 = 0
x2 + 13x - 140 = 0
x2 - 13x + 140 = 0
I. a2 + 11a + 30 = 0,
II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b
If a < b
If a ≤ b
If a ≥ b
If the relationship between a and b cannot be established
If a > b
I. x2 + 5x + 6 = 0,
II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y
If x > y
If x ≥ y
If x ≤ y
If x = y or the relationship between x and y cannot be established.
If x < y
I. a2 - 9a + 20 = 0,
II. 2b2 - 5b - 12 = 0 to solve both the equations to find the values of a and b
If the relationship between a and b cannot be established
If a ≤ b
If a ≥ b
If a > b
If a < b
I. x2 + 9x + 20 = 0,
II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y
If x > y
If x ≤ y
If x ≥ y
If x < y
If x = y or the relationship between x and y cannot be established.
If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab
NONE OF THESE
61
21
-21
1
Find the roots of quadratic equation: 3x2 - 7x - 6 = 0
-9, 2
-6, 3
3, -2/3
NONE OF THESE
-5, 2
A man could buy a certain number of notebooks for Rs.300.
If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the sameamount.
Find the price of each notebook
10
7.50
15
NONE OF THESE
8
Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0
3x2 - 5x + 2 = 0
3x2 + 5x - 2 = 0
3x2 - 5x - 2 = 0
3x2 + 5x + 2 = 0
NONE OF THESE
1
2
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Quadratic Equations
Simple Equations
Algebraic Equations and Simple Inequalities
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