Quantitative Aptitude – Algebra – Quadratic equations


Slot – 1 – Quantitative Aptitude – Algebra – Quadratic equations – The product of the distinct roots of

Q. The product of the distinct roots of ∣x^2 − x − 6∣ = x + 2 is?
  1. −16
  2. -8
  3. -24
  4. -4
Answer: −16

Solution: given, ∣x^2 − x − 6∣ = x + 2
Or I (x-3)*(x+2)I = (x+2)
Case 1) When x > 3
Then (x-3)*(x+2)= (x+2) or x -3 =1 or x = 4
Case 2) when – 2 <= x < 3, -(x-3)*(x+2)= (x+2)
-(x-3)*(x+2) – (x+2) =0
(x+2)(x-3+1) =0
(x-2)*(x+2) =0
x = 2 or -2
case 3 ) when x < - 2
(x-3)*(x+2) = (x+2)
x = 4 (not possible as x < -2
so required product = 4*2*(-2) =16

Online Coaching Course for CAT 2020

a) 900+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video