- Quadratic Eqn Quiz 30
- Quadratic Eqn Quiz 29
- Quadratic Eqn Quiz 28
- Quadratic Eqn Quiz 27
- Quadratic Eqn Quiz 26
- Quadratic Eqn Quiz 25
- Quadratic Eqn Quiz 24
- Quadratic Eqn Quiz 23
- Quadratic Eqn Quiz 22
- Quadratic Eqn Quiz 21
- Quadratic Eqn Quiz 20
- Quadratic Eqn Quiz 19
- Quadratic Eqn Quiz 18
- Quadratic Eqn Quiz 17
- Quadratic Eqn Quiz 16
- Quadratic Eqn Quiz 15
- Quadratic Eqn Quiz 14
- Quadratic Eqn Quiz 13
- Quadratic Eqn Quiz 12
- Quadratic Eqn Quiz 11
- Quadratic Eqn Quiz 10
- Quadratic Eqn Quiz 9
- Quadratic Eqn Quiz 8
- Quadratic Eqn Quiz 7
- Quadratic Eqn Quiz 6
- Quadratic Eqn Quiz 5
- Quadratic Eqn Quiz 4
- Quadratic Eqn Quiz 3
- Quadratic Eqn Quiz 2
- Quadratic Eqn Quiz 1

Important for :

1

A

According to the given equations :
x^{2 }– 11x – 8x + 88 = 0

x (x – 11) – 8 (x – 11) = 0

(x – 8) (x – 11) = 0

x = 8, 11

y^{2 }– 7y – 5y + 35 = 0

y (y – 7) – 5 (y – 7) = 0

(y – 7) (y – 5) = 0

y = 7, 5

After comparison of both equations, the conclusion is x > y

Hence, option A is correct.

2

E

According to the given equations :

x^{2} – 3x – 8x + 24 = 0

x (x – 3) – 8 (x – 3) = 0

(x – 3) (x – 8) = 0

x = 3, 8

y^{2} – 7y – 9y + 63 = 0

y (y – 7) – 9 (y – 7) = 0

(y – 7) (y – 9) = 0

y = 7, 9

While comparing the root values of x and y, we find that one root value of x is lies between the root values of y. Hence, the relation between x and y can't be established.

Hence, option E is correct.

3

B

According to the given equations :
2x^{2} – 24x + 70 |
= 0 |

2 |

x

x

x (x – 5) – 7 (x – 5) = 0

(x – 5) (x – 7) = 0

x = 5, 7

y

y (y – 7) – 13 (y – 7) = 0

(y – 7) (y – 13) = 0

y = 7, 13

While comparing the root values of x and y, we find that one root value of y is equal to x's and another one is greater than x's root values. Hence, the relation between x and y will be x ≤ y.

Hence, option B is correct.

4

5

A

According to the given equations :

Applying x's value from equation (ii), we get

3(36 – 3y) + 5y = 76

108 – 9y + 5y = 76

108 – 76 = 4y

32 = 4y ; y = 8

x = 36 – 3y

x = 36 – 3 × 8

x = 36 – 24 = 12

While comparing the root values of x and y we find that x > y.

Hence, option A is correct.