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`        A straight line makes an intercept on the y-axis twice as long as that on the x-axis and is at a unit distance from the origin. Determine its equation. `
3 years ago

siddharth gupta
28 Points
```										intercept form:                      x/a+y/2a=1            on solving 2x+y=2a.......(1.)normal form:                      xcos(m)+ysin(m)=1.........(2.)now adjust eqn (1.) to obtain eqn(2)i.e make the sum of squares of coefficients of x and y in eq.(1) equal to 1for that divide the eqn. on both sides by ((2)2+(1)2)1/2the resultant eqn. is (2/(5)1/2)x+(1/(5)1/2)y=2/(5)1/2a.....(3.)on comparing with eqn(2) a=(5)1/2/2put the value of a in eqn 2RESULT IS:2x+y=(5)1/2WITH REGARDSSIDDHARTH GUPTAno
```
3 years ago
Arun Kumar
IIT Delhi
256 Points
```										Hello$\\y=mx+c \\=>y_{interc}=c \\=>x_{interc}=-c/m \\=>m=-1 \\distance={c \over \sqrt{1+m^2}} \\={c \over \sqrt{2}}=\pm 1 \\=>c=\pm \sqrt{2}$Thanks & RegardsArun KumarBtech, IIT DelhiAskiitians Faculty
```
3 years ago
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