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A line has slope m and y- intercept 4. T...

A line has slope m and y- intercept 4. The distance betwee the origin and the line is equal to

A

`(4)/(sqrt(1-m^(2)))`

B

`(4)/(sqrt(sqrt(m^(2)-1)))`

C

`(4)/(sqrt(sqrt(m^(2)+1)))`

D

`(4m)/(sqrt(sqrt(m^(2)+1)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Equation of line is ` y = mx + 4 `
` therefore ` Required distance ` = ( 4 ) /( sqrt ( 1 + m ^ 2 ) `
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