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CBSE Class 11-science Answered

pls solve.
question image
Asked by pb_ckt | 14 Jun, 2019, 11:21: PM
answered-by-expert Expert Answer
I n space triangle P Q R comma space angle R equals 90 degree
tan open parentheses P over 2 close parentheses space a n d space tan open parentheses Q over 2 close parentheses space a r e space t h e space r o o t s space o f space a x squared plus b x plus c equals 0
tan open parentheses P over 2 close parentheses space plus space tan open parentheses Q over 2 close parentheses equals negative b over a space.... space left parenthesis i right parenthesis
tan open parentheses P over 2 close parentheses space times space tan open parentheses Q over 2 close parentheses equals c over a space..... space left parenthesis i i right parenthesis
I n space triangle P Q R comma space angle P plus angle Q plus angle R equals 180 degree
rightwards double arrow angle P plus angle Q plus 90 degree equals 180 degree
rightwards double arrow angle P plus angle Q equals 90 degree
rightwards double arrow fraction numerator angle P over denominator 2 end fraction plus fraction numerator angle Q over denominator 2 end fraction equals 45 degree
rightwards double arrow tan open parentheses fraction numerator angle P over denominator 2 end fraction plus fraction numerator angle Q over denominator 2 end fraction close parentheses equals tan 45 degree
rightwards double arrow fraction numerator tan open parentheses fraction numerator angle P over denominator 2 end fraction close parentheses plus tan open parentheses fraction numerator angle Q over denominator 2 end fraction close parentheses over denominator 1 minus tan open parentheses fraction numerator angle P over denominator 2 end fraction close parentheses times tan open parentheses fraction numerator angle Q over denominator 2 end fraction close parentheses end fraction equals 1
rightwards double arrow fraction numerator negative b over a over denominator 1 minus c over a end fraction equals 1 space... space U sin g space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis
rightwards double arrow negative b over a equals 1 minus c over a
rightwards double arrow c over a minus b over a equals 1
rightwards double arrow c minus b equals a
rightwards double arrow c equals a plus b
Answered by Renu Varma | 17 Jun, 2019, 09:54: AM

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