Home Maths Circle and System of Circles Mix Let BC be the chord of contact of the tangen…
Maths Circle and System of Circles Mix Single Correct MCQ
Published on: August 14, 2026

Let BC be the chord of contact of the tangents from a point A to the circle x 2 + y 2 = 1.P is any point on the arc BC. Let PX, PY, PZ be the lengths of perpendiculars from P on the AB, BC and CA respectively then PX, PY, PZ are in

A
A.P.
B
G.P.
C
H.P.
D
None of these

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B

Let A be (0, α ) ⇒ equation of BC is α y = 1

⇒ B and C are

and

⇒ Equation of AC and BC are

x + = 1 and x + = 1

and PZ = where P ≡ (sin θ , cos θ )

⇒ PY 2 = PX. PZ

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.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.