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From Karnataka Open Educational Resources
Circles Tangents Problems (view source)
Revision as of 15:38, 18 August 2014
, 15:38, 18 August 2014→Problem 5
SO=OP=14 cm <br> hence Radius of given circle is 14 cm
SO=OP=14 cm <br> hence Radius of given circle is 14 cm
=Problem 5=
=Problem 5 [Ex-15.2-B8]=
A circle is touching the side BC of △ABC at P. AB and AC when produced are touching the circle at Q and R respectively. Prove that AQ =<math>\frac{1}{2}</math> [perimeter of △ABC].
A circle is touching the side BC of △ABC at P. AB and AC when produced are touching the circle at Q and R respectively. Prove that AQ =<math>\frac{1}{2}</math> [perimeter of △ABC].
[[File:123.png|300px]]
[[File:123.png|300px]]
∴ AQ = <math>\frac{1}{2}</math> [perimeter of △ABC]
∴ AQ = <math>\frac{1}{2}</math> [perimeter of △ABC]
=Problem-6 [Ex-15.4-B3]=
=Problem-6 [Ex-15.4-B3]=
In circle with center O , diameter AB and a chord AD are drawn. Another circle drawn with OA as diameter to cut AD at C. Prove that BD=2OC.[[File:15.4B3.png|300px]]
In circle with center O , diameter AB and a chord AD are drawn. Another circle drawn with OA as diameter to cut AD at C. Prove that BD=2OC.[[File:15.4B3.png|300px]]
