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Line 166:
Line 166: − + − ===Interpretation of the problem=== − #O is the centre of the circle and tangents AP and AQ are drawn from an external point A. − #OP and OQ are the radii. − #The students have to prove thne angle PAQ=twise the angle OPQ. − ===Concepts used.=== − #The radii of a circle are equal. − #In any circle the radius drawn at the point of contact is perpendicular to the tangent. − #The tangent drawn from an external point to a circle a] are equal b] subtend equal angle at the centre c] are equally inclined to the line joining the centre and extrnal point. − #Properties of isoscles triangle. − #Properties of quadrillateral ( sum of all angles) is 360 degrees − #Sum of three angles of triangle is 180 degrees. − ===Algorithm===
→Problem-1
== Problem-1==
== Problem-1==
#Tanjents AP and AQ are drawn to circle with centre O, from an external point A. Prove that ∠PAQ=2.∠OPQ <br>
#Tanjents AP and AQ are drawn to circle with centre O, from an external point A. Prove that ∠PAQ=2.∠OPQ <br>
[[File:fig1.png|200px]]
[[http://karnatakaeducation.org.in/KOER/en/index.php/Class10_circles_tangents_problems '''Solution''']]
== Ex 4.4.2==
== Ex 4.4.2==