EASY
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The common point of a tangent to a circle and the circle is called of contact. (point/line)

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Important Questions on Circles

EASY
Define a tangent to a circle.
EASY
Find the length of the tangent of the circle with radius 5 cm drawn from the point 13 cm away from the centre of the circle.
MEDIUM
Prove that the lengths of tangents drawn from an external point to a circle are equal.
MEDIUM
Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.
EASY
A line which intersects a circle in two distinct points is called the _____ of the circle.
EASY
How many tangents can a circle have?
EASY
From a point P, 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn. Therefore, the radius of the circle is
EASY
How many parallel tangents are possible for a circle?
MEDIUM
If PAB is a secant to a circle which intersects the circle at A and B, and PT is a tangent to the circle, then prove that PA×PB=PT2
EASY
Number of tangents drawn from a point inside the circle is:
EASY
A tangent to a circle intersects it in _____ point(s).
HARD

In the given figure TP and TQ are two tangents to the circle with centre O, touching at A and C respectively. If BCQ=55° and BAP=60°, find OBA and OBC

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MEDIUM
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm
MEDIUM

Given : Point O is the centre of a circle. MA and MB are two tangent segments drawn from an external point M to the circle at A and B respectively. Prove that: MA=MB

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EASY
How many parallel tangents can a circle have?
MEDIUM
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then POA is equal to:
EASY
How many parallel tangents of a circle?
EASY
A straight line which passes through two points on a circle is 
MEDIUM
Define secant of a circle.
MEDIUM

In the given figure TP & TQ are two tangents to the circle with centre O, touching at A & C respectively. If BCQ=55° & BAP=60°, find ATC in degrees.

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