1.

Suppose that for some angles `xa n dy ,`the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2`hold simultaneously. the possible value of `a`is ___________

Answer» Correct Answer - 1
`sin^2x+cos^2y=(3a)/2 ...(i)`
`andcos^2x+sin^2y =a^2/2 ...(ii)`
Adding (i) and (ii), we get
`2=(3a)/2 +a^2/2`
`or a^2+3a-4=0`
`or (a+4)(a-1)=0`
`:. A=-4("rehected"),a=1`


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