Published by:
CGP EDU Academic Team
Published on: August 23, 2026
Let
be a square of side of unit length. Let a circle
centered at
with unit radius is drawn. Another circle
which touches
and the lines
and
are tangent to it, is also drawn. Let a tangent line from the point
to the circle
meet the side
at
. If the length of
is
, where
are integers, then
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)

Here
or 

equation of circle 
Equation of 


It is tangent to circle



Put 
On solving
Taking greater slope of CE as


Put 





──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
PART-I PHYSICS
SECTION-A
One main scale division of a vernier callipers is ' ' and division of t…
For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectr…
A block of mass slides along a floor while a force of magnitude is applied to it at an angle as …
The pressure acting on a submarine is at a certain depth. If the depth is doubled, the percentage…
The angle of deviation through a prism is minimum when
A plane electromagnetic wave of frequency is travelling in vacuum along -direction. At a particul…