Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

The circle ω touches the circle Ω internally at P . The centre O of Ω is outside ω . Let XY be a diameter of Ω which is also tangent to ω . Assume PY > PX . Let PY intersect ω at Z . If YZ = 2 PZ , what is the magnitude of angle PYX in degrees?

The circle ω touches the circle Ω internally at P. The centre O of Ω is outside ω. Let XY be a diameter of Ω which is also tangent to ω. Assume PY > PX. Let PY  intersect ω at Z. If YZ = 2PZ, what is the magnitude of angle PYX in degrees?

Question Image
Grade:9

2 Answers

Aman Tomar
17 Points
one month ago
 we have drawn the common tangent TPR ro the two given circles.
Let PZ=x so that YZ=2x.
XY is tangent to the smaller circle at Q.
But
Now, YQ² =YZ×YP=2x×3x=6x² or
YQ=√6× X.
Now, we apply sine rule in triangle YPQ whereby, sin(YQP)/sin(45°) =3X/(√6×X) =√3/2.
Clearly,
Aman Tomar
17 Points
one month ago
we have drawn the common tangent TPR ro the two given circles.
Let PZ=x so that YZ=2x.
XY is tangent to the smaller circle at Q.
once again by the aforesaid theorem. Moreover,
Now, YQ² =YZ×YP=2x×3x=6x² or
 YQ=√6x.
Now, we apply sine rule in triangle YPQ whereby, sin(YQP)/sin(45°) =3x/(√6x) =√3/2.
Clearly,
hence
Thus,

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free