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CBSE Class 11-science Answered

What will be the answer for this question?
question image
Asked by dineshchem108 | 20 May, 2019, 11:34: AM
answered-by-expert Expert Answer
T h e space b i n o m i a l space i s space g i v e n space a s space left parenthesis 1 plus x right parenthesis to the power of 18
r to the power of t h end exponent space t e r m space i n space t h e space e x p a n s i o n space o f space left parenthesis x plus y right parenthesis to the power of n space i s space g i v e n space b y
b subscript r equals C presubscript r minus 1 end presubscript presuperscript n space x to the power of r y to the power of n minus r end exponent
B i n o m i a l space c o e f f i c i e n t space o f space r to the power of t h end exponent space t e r m space i n space t h e space e x p a n s i o n space o f space left parenthesis 1 plus x right parenthesis to the power of 18 space i s space g i v e n space b y space
t subscript r equals C presubscript r minus 1 end presubscript presuperscript 18
B i n o m i a l space c o e f f i c i e n t space o f space left parenthesis 2 r plus 4 right parenthesis to the power of t h end exponent space t e r m space i s space t subscript 2 r plus 4 end subscript equals C presubscript 2 r plus 3 end presubscript presuperscript 18 space
B i n o m i a l space c o e f f i c i e n t space o f space left parenthesis r minus 2 right parenthesis to the power of t h end exponent space t e r m space i s space t subscript r minus 2 end subscript equals C presubscript r minus 3 end presubscript presuperscript 18 space
S i n c e comma space b o t h space a r e space e q u a l space
C presubscript 2 r plus 3 end presubscript presuperscript 18 space equals C presubscript r minus 3 end presubscript presuperscript 18 space
rightwards double arrow 2 r plus 3 plus r minus 3 equals 18 space... space left parenthesis I f space C presubscript x presuperscript n equals C presubscript y presuperscript n space rightwards double arrow x plus y equals n right parenthesis
rightwards double arrow 3 r equals 18
rightwards double arrow r equals 6
Answered by Renu Varma | 20 May, 2019, 12:23: PM

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