1.

If \[\tan x=\frac{2b}{a-c}(a\ne c),\]\[y=a\,{{\cos }^{2}}x+2b\,\sin x\cos x+c\,{{\sin }^{2}}x\]and \[z=a{{\sin }^{2}}x-2b\sin x\cos x+c{{\cos }^{2}}x,\] then

A. \[y=z\]
B. \[y+z=a+c\]
C. \[y-z=a+c\]
D. \[y-z={{(a-c)}^{2}}+4{{b}^{2}}\]
Answer» C. \[y-z=a+c\]


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