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If 3 and 4 are intercepts of a line L = ...

If 3 and 4 are intercepts of a line L = 0 then the distance of L =0 from the origin is

A

5 units

B

12 units

C

`5/12` unit

D

`12/5` units

Text Solution

Verified by Experts

The correct Answer is:
D
Equation of line is `x/y + y/4 =1`
` Rightarrow 4x +3y -12 =0`
Now, distance from origin = `|( 4 xx 0 + 3 xx 0 -12)/ (sqrt(3^(2) +4^(2)))|=12/5` units
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
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  5. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

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

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

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

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

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  10. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

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  11. A straight line through the point (1,1) meets the X-axis at A and Y-ax...

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

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  13. The three straight lines ax+by=c, bx+cy=a and cx +ay =b are collinear,...

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  14. The coordinates of the foot of the perpendicular drawn from the point ...

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  15. If the foot of the perpendicular from the origin to a straight line is...

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  16. The equation of the perpendicular bisector of the line segment joining...

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  17. If A(2,-1)a n dB(6,5) are two points, then find the ratio in which ...

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  18. If 3 and 4 are intercepts of a line L = 0 then the distance of L =0 fr...

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  19. If the equation of base of an equilateral triangle is 2x-y=1 and the v...

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