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Grade 12th passIIT JEE Entrance Exam

Please help me with question 33 of quadratic equation

Question image for Please help me with question 33 of quadratic equa
Profile image of Anshu Mishra
7 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer7 Years ago
Dear student
 
Real roots
D is gretaer than or equal to zero
 
4(m – 10)^2 – 4 (m – 5)(m+ 10) greater than or equal to zero
 
m^2 + 100 – 20 m – m^2 – 5m + 50 >= 0
- 25m >= – 150
 
m
 
Now for same sign of roots
 
product of roots greater than or equal to zero
 
m+ 10/(m- 5) greater than or equal to zero.
 
hence m belongs to ( – infinity , – 10] U (5, infinity)
 
hence after intersection of values of m
 
m belongs to ( – infinity, – 10] U ( 5, 6]
 
hence option C si correct