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CBSE Class 10 Answered

Find the locus of centres of circles which touch two intersecting lines
Asked by gpnkumar0 | 19 Feb, 2018, 09:32: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style In space triangle OAP space and space triangle OBP comma
OA equals OB space space space left parenthesis radii space of space circle right parenthesis
PA equals PB space space space space left parenthesis tangents space from space external space point space are space equal right parenthesis
OP equals OP space space space left parenthesis common right parenthesis
rightwards double arrow triangle AOP approximately equal to triangle OBP space space left parenthesis SSS space congruence right parenthesis
rightwards double arrow angle APO equals angle BPO
rightwards double arrow OP space is space the space bisector space of space angle APB.
rightwards double arrow straight O space lies space on space the space bisector space of space the space angle space between space straight l space and space straight m. end style
Answered by Rashmi Khot | 20 Feb, 2018, 09:49: AM
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