Two coherent sources of intensities I1 and I2 produce an interference pattern. The maximum intensity in the interference pattern will be
I1+I2
I12+I22
I1+I22
Resultant intensity IR=I1+I2+2I1I2cosϕ
For maximum IR,ϕ=0∘
⇒IR=I1+I2+2I1I2=I1+I22