# New Format of questions asked in Bank PO Exams on Quadratic Equations

In Bank PO exams questions on quadratic equations has a particular format:

There will be two equations given and students are required to solve them and mark the correct answers from the options given. These questions follows a particular rule which makes these type of questions easily solvable. We know the standard form of quadratic equations is ax

^{2}+ bx + c = 0.S.No. | Sign of b | Sign of c | Nature of Roots | |

I^{st} |
II^{nd} |
|||

1. | - | + | + | + |

2. | + | + | - | - |

3. | + | - | +/- | +/- |

4. | - | - | +/- | +/- |

Example

Directions: In the following questions numbered I and II are given. You have to solve both equations and give answer.

- If x > y
- If x â‰¥ y
- x < y
- If x â‰¤ y
- If x = y or the relationship cannot be established

I.

II.

II.

Solution

I.

Step I: Look the sign of X and C. Here, these are (âˆ’, +)

Follow the rules- Nature of Roots will be (+, +).

Step II: Now take the factors of (10 Ã— 1 = 10), So that, sum or difference of them is equal to (â€“ 7 ).

Step III: Value of X is (+2, +5)

II.

Step I: Look the sign of X and C. Here both are (+, +).

Follows rule 2- Nature of roots will be (âˆ’, âˆ’).

Step II: Now take the factors of 10. So that, Sum or difference is equal to (+11).

Step III: Value of y is (âˆ’1, âˆ’10).

Hence, x = (+ 2, +5); y = (âˆ’1, âˆ’10).

Clearly, x > y ;

Answer will be option (a).