Correct Answer - c
`x sin^(2)60-(3)/(2)sec60^(@)tan^(2)3 0^(@)`
`+(4)/(5)sin^(2)45^(@) tan^(2)60=0`
`rArrx((sqrt(3))/(2))^(2)-(3)/(2)xx2-((1)/sqrt(3))^(2)+(4)/(5)((1)/sqrt(2))^(2)`
`=(sqrt(3))^(2)=0`
`rArr(3x)/(4)-(3)/(2)xx2xx(1)/(2)xx3=0`
`rArr(3x)/(4)- 1+(6)/(5)=0`
`rArr(3x)/(4)=1-(6)/(5)rArr(5-6)/(5)=(-1)/(5)`
`x=-(1)/(5)xx(4)/(3)=-(4)/(15)`