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India
Class X

Names in Circles

Interactive practice questions

Which of the following is a secant of the attached circle?

A circle with center labeled $O$O, is depicted. A line segment $OI$OI is drawn from the center to the point $I$I on the circumference. Line segment $EF$EF passes through the center $O$O from point $E$E to its opposite point $F$F, both points lie on the circumference. Line segment $GH$GH is drawn inside the circle, not passing through the center, from point $G$G to point $H$H, both points lie on the circumference. Points $C$C and $D$D are points outside the circle, a line segment $CD$CD passes through the circle but not passing through the center.  $AB$AB is a line segment that touches the circle at an unlabeled point. The circle has a thick black arc on the bottom, labeled arc $JK$JK.

GH

A

JK

B

AB

C

OI

D

CD

E

EF

F
Easy
< 1min

Which of the following is a tangent of the attached circle?

Easy
< 1min

Which of the following is a chord but not a diameter of the attached circle?

Easy
< 1min

Which of the following is a diameter of the attached circle?

Easy
< 1min
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Outcomes

10.G.C.1

Tangents to a circle motivated by chords drawn from points coming closer and closer to the point. (a) The tangent at any point of a circle is perpendicular to the radius through the point of contact. (b) The lengths of tangents drawn from an external point to a circle are equal.

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