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| Answer» NEA tangent of a circle intersects the circle exactly in one single point. 2.)twofrom a point OUTSIDE a circle only two tangents can be drawn to the circle.3.) perpendicular , contactthe tangent at any point of a circle is perpendicular to the radius through the point of contact.4.)TwoThere can be only two parallel tangents to a circle.Q21.)A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm.Find the length of the tangent drawn from P to the circle ISANS:- 24cmGiven- O is the centre of a circle to which a tangent PT=x has been drawn to the circle at T when OP=25cm. The radius of the given circle=7cmTo find out: x=?Solution- We join OT.∴OT is a radius of the circle through the point of contact T of the tangent PT. We know that the radius through the point of contact of a tangent to a circle is perpendicular to the tangent. ∴OT⊥PT⟹∠OTP=90 o .∴ΔOTP is a right one with OP as HYPOTENUSE. So, applying Pythagoras theorem, we getPT= OP 2 −OT 2 = 25 2 −7 2 cm=24cm.∴ The tangent to the given circle PT=24cm. | |