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Q)

Asked by araima2001 19th December 2016, 12:32 PM
Answered by Expert
Answer:
begin mathsize 22px style We space know space that comma space equation space of space bisector space of space angle space between space the space pair space of space lines space ax squared plus 2 hxy plus by squared equals 0 space is space given space by
fraction numerator straight x squared minus straight y squared over denominator straight a minus straight b end fraction equals xy over straight h
Equation space of space the space pair space of space bisectors space of space 2 straight x squared plus 6 xy plus straight y squared equals 0 space is space given space by
fraction numerator straight x squared minus straight y squared over denominator 2 minus 1 end fraction equals xy over 3 space or space fraction numerator straight x squared minus straight y squared over denominator 1 end fraction equals xy over 3 space space space..... left parenthesis straight i right parenthesis
and space the space equation space of space the space pair space of space bisectors space of space space 3 straight x squared plus 8 xy plus straight y squared equals 0 space is space given space by
fraction numerator straight x squared minus straight y squared over denominator 3 minus 1 end fraction equals xy over 4 space or space fraction numerator straight x squared minus straight y squared over denominator 1 end fraction equals xy over 2 space space space..... left parenthesis ii right parenthesis
rightwards double arrow From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space
the space lines space are space not space equally space inclined. space... left parenthesis Since space straight a space pair space of space lines space is space equally space inclined space to space another space pair space of space lines space
if space the space joint space equation space of space bisectors space of space angles space between space both space pair space of space lines space is space same. right parenthesis
and space the space angles space between space straight l subscript 1 comma space straight l apostrophe subscript 2 space is space not space the space same space as space the space angle space between space straight l subscript 2 comma space straight l apostrophe subscript 1
So comma if space the space lines space are space equally space inclined space then space angles space between space straight l subscript 1 comma space straight l apostrophe subscript 2 space would space be space the space same space as space the space angle space between space straight l subscript 2 comma space straight l apostrophe subscript 1
Hence comma space the space correct space option space is space left parenthesis straight A right parenthesis. end style
Answered by Expert 20th December 2016, 10:58 AM
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