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Please help me with question 33 of quadratic equation

Anshu Mishra , 5 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 5 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

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