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Home / Doubts and Solutions/JEE-BASIC/Class 12 Science/Mathematics

Q.The function f(x)=sinx-kx-c where k and c are constants is always decreasing for 
 
a.k>1
b.k> 1
c.k<1
d.k< 1

Asked by Aswin Unnikrishnan 24th April 2015, 11:24 AM
Answered by Expert
Answer:

f left parenthesis x right parenthesis equals sin x minus k x minus c f apostrophe left parenthesis x right parenthesis equals cos x minus k F o r space d e c r e a sin g space f u n c t i o n comma space f apostrophe left parenthesis x right parenthesis less than 0 rightwards double arrow cos x minus k less than 0 rightwards double arrow cos x less than k T h e space a b o v e space i n e q u a l i t y space i s space a l w a y s space t r u e space f o r space k greater than 1 comma space sin c e space cos x space less than 1 H e n c e comma space o p t i o n space A space i s space c o r r e c t.

Answered by Expert 4th May 2015, 5:58 PM
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