Question

please solve if you can (+_+)

Answer 1

       we know that  for any value of a             
                     -1≤ sin(x+a) ≤ 1
⇒              -1 + b ≤ sin(x+a) + b ≤ 1+ b
so max value of sin (x+a) + b = 1 +b

A/Q  both the functions sinx and sin(x+a) + b have same max value
⇒ 1+b = 1 ⇒ b=0

now from above plotted graph  we find that graph of sinx has been shifted to right that implies a is less than zero

so ans a<0 and b=0  option A) correct


hope this helps ............any doubts, then ask