Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
8 views
asked in Mathematics by (67k points)

The values of p for which 6 lies between the roots of the equation x+ 2(p – 3)x + 9 = 0 is

(a) (-∞, -3/4)

(b)  (-∞, -3/4)

(c)  (-∞, 1)

(d) none of these

1 Answer

+1 vote
answered by (62.1k points)
selected by
 
Best answer

Correct option (a) (-∞, -3/4)

Explanation:

D > 0

(– 2(p – 3))2 – 4.1.9 > 0

p– 6p > 0

p (p – 6) > 0

p < 0, p > 6 .....(1) 

a.ƒ(6) < 0

1.(36 + 12(p – 3) + 9)) < 0

12p + 9 < 0

P < -3/4  ...(2)

From (1) and (2)  P ∈ (-∞, -3/4)

Related questions

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.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

Categories

...