Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
7.7k views
in Mathematics by (71.5k points)

If x2 + px + q = 0 is the quadratic equation whose roots are a – 2 and b – 2 where a and b are the roots of x2 – 3x + 1 = 0, then

(A) p = 1, q = 5 

(B) p = 1, q = –5 

(C) p = –1, q = 1 

(D) p = 1, q = –1

1 Answer

+1 vote
by (70.7k points)
selected by
 
Best answer

Correct option (D)

Explanation:

a + b = 3 ; ab = 1

a – 2 + b – 2 = – p

 p = 1 (a – 2)(b – 2) = q

ab – 2(a + b) + 4 = q

1 – 6 + 4 = q

 q = –1

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...