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If the line segment joining the points (a,b) and (c,d) subtends right angle at the origin then prove that ac+bd=0.
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Answer:
IF THE LINE SEGMENT JOINING POINTS (a,b) and (c,d) THEN THEY SHOULD BE ON X AXIS AND Y AXIS BECAUSE THEY SUBSTEND RIGHT ANGLE AT ORIGIN
LET US TAKE BOTH POINT a and d BE ON ORIGIN
THEN
ac+bd=0
0×a+b×0=0
0+0=0
HENCE PROVED
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