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बिंदु (0 ,a ) से होकर जाने वाली दो सरल रेखाओं के समीकरण ज्ञात कीजिए, जिनकी बिंदु ` ( 2a,2a)` से दुरी है|

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Correct Answer - ` y=a ` तथा ` 4x-3y +3a =0`
माना रेखा का समीकरण है|
बिंदु (2a ,2a ) से इस रेखा की दुरी ` =|( 2am -2a+c)/(sqrt(m^(2) +1))| =a`
`rArr " "2am -2a +c =+- (asqrt(1+m^(2)))" "...(ii)`
`because ` यह )(0 ,a ) से होकर जाती है , इसलिए समीकरण (ii ) से ,c =a )
`therefore " " 2am -2a +a =+- sqrt(1+m^(2))`
सरल करने पर ` " " m= 0, m= 4 //3`
`therefore ` समीकरण (i ) से ` " "y= a,y =(4)/(3) x+a `
`rArr " "y=a ` तथा ` 4x-3y +3a =0`

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