Questions
The range of g so that we have always a chord of contact of
tangents drawn from a real point to the circle
is
a
(−3,0)
b
(−4,1)
c
(−4,0)
d
none of these
detailed solution
Correct option is C
For a real chord of contact of tangents drawn from (α,α) to the circle x2+y2+2gx+4y+2=0 the point (α,α)must lie outside the circle. ∴ α2+α2+2gα+4α+2>0⇒ α2+gα+(2α+1)>0⇒ α2+(g+2)α+1>0Since a assumes real values. Therefore, (g+2)2−4>0⇒ g2+4g>0⇒−4Talk to our academic expert!
Similar Questions
The area of the triangle, in square units, formed by the tangents from the point to the circle and the line joining their points of contact, is
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