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