Join

CAT WhatsApp Group

Question 28

Given the quadratic equation $$x^2 - (A - 3)x - (A - 2)$$, for what value of $$A$$ will the sum of the squares of the roots be zero?

Solution

For summation of square of roots to be zero, individual roots should be zero.
Hence summation should be zero i.e. A-3=0 ; A = 3
And product of roots will also be zero i.e. A-2 = 0 ; A =2
So there is no unique value of A which can satisfy above equation.

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

Get AI Help

Video Solution

video

View More Questions From Quadratic Equations

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
41+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Simple Interest Compound Interest Questions CAT Data Sufficiency Questions CAT Time, Speed and Distance Questions CAT Time Speed Distance Questions CAT Profit And Loss Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Puzzles Questions CAT Truth Lie Concept Questions CAT Quant Based DI Questions CAT Venn Diagrams Questions CAT Special Charts Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Summary Questions CAT Verbal Ability Questions CAT Vocabulary Questions CAT Reading Comprehension Questions CAT Grammar and Sentence Correction Questions

Related Formulas With Tests

Quadratic Equations: Deriving New Equations from Modified Roots Quadratic Roots Formulas

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

CAT mentor

Phone Number

Preferred Time

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now

cracku download image

Ask our AI anything

AI can make mistakes. Please verify important information.