Questions
The set of values of for which the point lies outside the circle and inside the circle , is
a
(−∞,−3)∪(3,∞)
b
(−32, 32)
c
(−32,−3)∪(3,32)
d
none of these
detailed solution
Correct option is C
It is given that the point (a−1,a+1) lies outside the circle x2+y2=8 and inside the circle x2+y2−12x+12y−62=0. Therefore, (a−1)2+(a+1)2−8>0and, (a−1)2+(a+1)2−12(a−1)+12(a+1)−62<0⇒ 2a2−6>0 and 2a2−36<0⇒ a2−3>0 and a2−18<0⇒ a∈(−∞,−3)∪(3,∞) and a∈(−32,32)⇒ a∈(−32,−3)∪(3,32)Talk to our academic expert!
Similar Questions
The set of values of a for which the point is an interior point of the larger segment of the circle made by the chord is
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