4. If all the sides of a
parallelogram touch a
circle, then prove that it
is a
rhombus.
5. If the angle between
two radii of a circle is
1300, then find the angle
between the tangents
at the eruds of the radii.
6. Two concentric circles
of radii a and b (a > b) are
given. Find the length of
the chord of larger
circle which touches the
smaller circle
Answers
Answer:
here is your answer
Step-by-step explanation:
Given : Sides AB,BC,CD andDA of a parrallelogram ABCD touch a circle at P,Q,Rand S respectively.
To prove : Parallelogram ABCD is a rhombus.
Proof :
SinceTangents drawn from an external point to a circle are equal
AP=AS.....(1)(Tangent from point A )
BP=BQ....(2)(Tangent from point B )
CR=CQ....(3)(Tangent from point A )
DR=DS....(4)(Tangent from point A )
Adding (1), (2), (3) and (4), we get
AP+BP+CR+DR=AS+BQ+CQ+DS
(AP+BP)+(CR+DR)=(AS+DS)+(BQ+CQ)
AB+CD=AD+BC
AB+AB=AD+AD [In a Parallelogram ABCD, opposite sides are equal]
2AB=2ADorAB=AD
But AB=CDandAD=BC [Opposite sides of a Parallelogram are equal]
AB=BC=CD=DA
Hence, Parallelogram ABCD is a rhombus.
Answer:
Here's the 4th one mate !
Have a look at the photo I've attached !
I HOPE IT'S HELPFUL !
I HOPE IT'S HELPFUL !HAVE A GREAT DAY !
