State True or False.
The tangents drawn at the ends of a diameter of a circle are not parallel.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that tangents are drawn at the ends of a diameter of a circle.
Consider the circle with two tangents as given below.
Question Image

PQ and RSare the tangents.
PQ is tangent at point A
Therefore, OA ⊥ PQ (Tangents drawn from external points are perpendicular to circle)
∠OAP=90° …… (1).
Similarly,
∠OBS=90° …… (2).
Therefore, ∠OAP = ∠OBS
Similarly, ∠BAP = ∠ABS
For lines PQ and RS, AB is a transverse line.
So, the tangents PQ and RS are in parallel
PQ ∥ RS
Hence the statement that the tangents drawn at the ends of a diameter of a circle are not parallel is false.
Therefore, option (2) is correct.

Watch 3-min video & get full concept clarity