Find the value of λ if (λ - 5) (λ + 3) < 0
[-3, 5]
(3,5)
(-3, 5)
We can solve this by wavy - curve method.
⇒λ∈ (-3, 5)
or we can consider (λ - 5) (λ + 3) as a quadratic. We know it is less than zero between the roots (-3 and 5).
The circle x2+y2−6x−4y+9=0 bisects the circumference of the circle x2+y2−(λ+4)x−(λ+2)y+(5λ+3)=0 if λ is equal to