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The distance of a point (x1 ,y1 ) from each of the two lines which pass through the origin of coordinates is z prove that the two lines are given by (x1y-y1x) whole square =z square (xsquare+ysquare)

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2 years ago

Susmita
425 Points
```							As the line passes through the origin,so equation of the line can be written asy=mx•••••(1)Or,mx-y=0The distance d(=z) from the point (x1,y1) to this straight line isz=|mx1-y1|/root(m2+1)Taking whole square on both sidez2(m2+1)=(mx1-y1)2 ••••••(2)From equation(1)y=mxOr,m=y/xPutting this value of m in eq(2)z2{(y2+x2)/x2}=(yx1-xy1)2/x2or,z2(x2+y2)=(yx1-xy1)2please approve the answer if helped.
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2 years ago
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• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
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• Previous Year Exam Questions