Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Two circles S1 = 0 and S2 = 0 are touching to each other externally at point T, with centrec1, c2 and radii r1 and r2 respectively.
If P and Q be the points of contact of a direct common tangent to the two circles and PQ meets the line joining c1 c2 in S. Tangent at common point T is intersecting
to the tangent PQ at R point and to other direct tangent
at V point. Let S1= x2 + y2 – 6x = 0 and S2= x2 + y2 + 2x = 0.
(i) Angle between the two direct tangents is –
A
90º y = 
x + 
, y = – 
x + 
Circle
x + , y = – x + Circle
B
30º y = 
– 
, y = 
– 
Ellipse
– , y = – Ellipse
C
60º y = 
+ 
, y = 
– 
Parabola
+ , y = – Parabola
D
None of these (ii) Direct tangents are – None of these (iii) A circle S = 0 of radius 1 units rolls on the outside of the circle S2 = 0, touching it externally, locus of the centre of this outer circle is – None of these
Text Solution
Verified by ExpertsThe correct answer is:
60
Ans.
(i)
Sol. 60 0
(ii)
Sol. None of these
(iii)
Sol. Circle
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