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Devika Chawla
Asked: 2022-11-05T09:30:39+05:30 In:

If `2cos theta-sintheta`=`(1)/(sqrt2)`
`theta(0 letheta le90^(@))`
the valie of `2sin theta+cos theta is`
A. `(1)/(sqrt2)`
B. `sqrt2`
C. `(3)/(sqrt2)`
D. `(1)/(sqrt3)`

If `2cos theta-sintheta`=`(1)/(sqrt2)`
`theta(0 letheta le90^(@))`
the valie of `2sin theta+cos theta is`
A. `(1)/(sqrt2)`
B. `sqrt2`
C. `(3)/(sqrt2)`
D. `(1)/(sqrt3)`
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1 Answer

  1. Correct Answer – c
    `2 cos theta-sin theta=(1)/sqrt(2)`
    when
    `ax+0by=m`
    then `bx -+ay =sqrt(a ^(2)+b^(2)-m^(2))`
    `2Cos theta-sintheta=(1)/sqrt(2)`
    `costheta+2sin thetasqrt(4 +1-(1)/(2))`
    `=(3)/sqrt(2)`

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