Correct Answer - C
As, `y_(1)=a_(1)cos omegat=a_(1)sin(omega t+90^(@))and y_(2)=a_(2)sin omegat`
`therefore` Phase difference`=phi=90^(@)`
`R=sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos phi)=sqrt(a_(1)^(2)+a_(2)^(2))`
`therefore` Resultant intensity, `I prop R^(2) rArr I prop (a_(1)^(2)+a_(2)^(2))`