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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(m^(2)-1)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Equation of line is y = mx + 4
Required distance = ` 4/(sqrt(1+m^(2)))`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
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  13. The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...

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  14. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

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  15. If the lines kx-2y-1=0 and 6x-4y-m=0 are identical (coindent) lines, t...

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  16. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

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  17. The line passing through the point of intersection of x + y = 2,x-y = ...

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  18. The equation of the line passing through the point of intersection of ...

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  19. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

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  20. If (sin theta, cos theta) and (3,2) lie on the same side of the line x...

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