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The common point of tangent line and circle is known as point of

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Important Questions on Circles

HARD
Draw a circle of radius 4.8 cm. Take a point on the circle. Draw the tangent at that point using tangent chord theorem.
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A line intersecting a circle in two points is called a secant.

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
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.
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How many tangents can a circle have?
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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.
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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).
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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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
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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:
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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.
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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