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Question

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


A

5 units

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B

12 units

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C

512 units

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D

125 units

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Solution

The correct option is D

125 units


Explanation for the correct option:

Step 1. Find the distance of the point from a line:

Given,

x intercept =3

y intercept =4

Now, Intercept form of Equation is xa+yb=1

x3+y4=1

4x+3y12=0

Step 2. Distance of a point P(x1,y1) from a line ax+by+c=0 is d=|ax1+by1+c|(a2+b2)

Here the point is at the origin.

So, P=(0,0)

a=4,b=3 and c=-12

d=|0+012|(42+32)=125

Hence, Option ‘D’ is Correct.


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