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CBSE Class 11-science Answered

Internal bisector of angle A of a triangle ABC meets the side BC at D.
A line drawn through D perpendicular to AD intersects the AC at E
and the side AB at F. If a,b,c represent the sides of triangle ABC, then
 
1)AE is the H. M.of b and 2c.     2)AD=2bc/b+c cos^2 A/2
 
3)EF=4bc/b+c sin A/2.                4)None of these
Asked by Sunil Soni | 07 Dec, 2015, 11:03: PM
answered-by-expert Expert Answer
A r e a space o f space increment A B C space equals space A r e a space o f space increment A B D space plus space A r e a space o f space increment A D C rightwards double arrow 1 half b c sin A space equals space 1 half c A D sin A over 2 plus 1 half b A D sin A over 2 rightwards double arrow 1 half b c cross times 2 sin A over 2 cos A over 2 equals 1 half A D sin A over 2 open parentheses c plus b close parentheses rightwards double arrow 2 b c cos A over 2 equals A D open parentheses b plus c close parentheses rightwards double arrow A D equals fraction numerator 2 b c over denominator b plus c end fraction cos A over 2... left parenthesis 1 right parenthesis  I n space r i g h t space t r i a n g l e space A D E comma A E space equals space fraction numerator A D over denominator cos begin display style A over 2 end style end fraction equals space fraction numerator fraction numerator 2 b c over denominator b plus c end fraction c o s A over 2 over denominator cos begin display style A over 2 end style end fraction rightwards double arrow A E equals fraction numerator 2 b c over denominator b plus c end fraction... left parenthesis 2 right parenthesis E F space equals space E D space plus space D F equals space A D tan A over 2 plus A D t a n A over 2 equals 2 A D tan A over 2 equals 2 cross times fraction numerator 2 b c over denominator b plus c end fraction c o s A over 2 cross times t a n A over 2 equals fraction numerator 4 b c over denominator b plus c end fraction sin A over 2.... left parenthesis 3 right parenthesis F r o m space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis comma space o p t i o n space left parenthesis 3 right parenthesis space i s space c o r r e c t.
Answered by satyajit samal | 08 Dec, 2015, 12:27: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
A n space a i r c r a f t space t r a c k i n g space s t a t i o n space d e t e r m i n e s space t h e space d i s tan c e space f r o m space a space c o m m o n space p o i n t space O
t o space e a c h space a i r c r a f t space a n d space t h e space a n g l e space b e t w e e n space t h e space a i r c r a f t s. I f space a n g l e space O space b e t w e e n space t h e space t w o space a i r c r a f t s space i s space 49 to the power of 0
a n d space t h e space d i s tan c e space f r o m space p o i n t space O space t o space t h e space t w o space a i r c r a f t s space a r e space 50 k m space a n d space 72 k m comma f i n d space t h e space d i s tan c e space b e t w e e n space t h e space t w o space a i r c r a f t s ?
Asked by Topperlearning User | 31 Aug, 2016, 10:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 31 Aug, 2016, 10:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 31 Aug, 2016, 10:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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