3i have tried the sum in that way only.....considering the distance factor...bt then wat shud b done after that??
Find the range of values of K for which the straight line y=2x+K lies between the circles x2+y2-16x-2y+61=0 and x2+y2-2x-2y+1=0.
-
UP 0 DOWN 0 0 6
6 Answers
62Hint:
find the tangents of the same slope (2)
Or
the distance from the centers should be such that it is greater than the radius of each circle. (in one case -ve and in the other +ve)
3
1first thing : the line will have to cut the -ve Y-axis to lie in between the 2 circles.
1hey can we do like this :::
y=2x+k
m=2
c=k
now the given lies in b/w the two circles so we can apply r>\left|\frac{c}{\sqrt{(1+m^2)}} \right|
now from the eq.n of circles r1=2 nd 22=1..
so by putting c,m nd r u ll get two inequalities.....
from i got k^2<20 nd k^2<5
soo i hope my logic is right nd from here u can get the range of k[1][1][1][1]