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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 ax2 + bx + c = 0.
 
S.No. Sign of b Sign of c Nature of Roots
      Ist IInd
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.
  1. If x > y
  2. If x ≥ y
  3. x < y
  4. If x ≤ y
  5. If x = y or the relationship cannot be established
I.
II. 

 
Solution
I.
 
Step I: Look the sign of X and C. Here, these are (−, +)
 
Follow the rules- Nature of Roots will be (+, +).
 
Step II: Now take the factors of (10 × 1 = 10), So that, sum or difference of them is equal to (– 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 (−, −).
 
Step II: Now take the factors of 10. So that, Sum or difference is equal to (+11).
 
Step III: Value of y is (−1, −10).
 
Hence, x = (+ 2, +5); y = (−1, −10).
 
Clearly, x > y ;
 
Answer will be option (a).
 




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