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A ray of light along x+sqrt(3)y=sqrt(...

A ray of light along `x+sqrt(3)y=sqrt(3)` gets reflected upon reaching x-axis, the equation of the reflected rays is (1) `sqrt(3)y=x-sqrt(3)` (2) `y=sqrt(3)x-sqrt(3)` (3) `sqrt(3)y=x-1` (4) `y=x+sqrt(3)`

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`y = -1/sqrt3 x + 1`
`tan(- alpha) = -1/sqrt3`
`- tan alpha = -1/sqrt3`
`tan alpha = 1/sqrt3 `
point `(sqrt3, 0); m= 1/sqrt3`
`y = mx +c`
`0 = 1/sqrt3 xx sqrt3 + c`
`c= -1`
...
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A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x-axis,the equation of the reflected ray is

A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x-axis,the equation of the reflected ray is: a.y=x+sqrt(3)b .sqrt(3)y=x-sqrt(3)c*y=sqrt(3)x-sqrt(3)dsqrt(3)y=x-1

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A beam of light is sent along the line x-y=1 , which after refracting from the x-axis enters the opposite side by turning through 30^0 towards the normal at the point of incidence on the x-axis. Then the equation of the refracted ray is (a) (2-sqrt(3))x-y=2+sqrt(3) (b) (2+sqrt(3))x-y=2+sqrt(3) (c) (2-sqrt(3))x+y=(2+sqrt(3)) (d) y=(2-sqrt(3))(x-1)

Evaluate : ( sqrt(2)x + sqrt(3)y ) ( sqrt(2)x + sqrt(3)y )