If the intercept of a line between the coordinate axes is divided by
the point `(-5,4)`
in the ratio `1:2,`
then find the equation of the line.
Text Solution
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The correct Answer is:
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Let intercept of a line are (h,k). The coordinates of A and B are (h,0)and (0.k)respectively. `-5=(1xx0+2xxh)/(1+2)` `rArr -5=(2h)/(3)rArr+h=-(15)/(2)` and `4=(1.k+0.2)/(1+2)` `rArr K=12` `therefore A=(-(15)/(2),0)` and B=(0,12) Hence the equation of a line AB is `y-0=(12-0)/(0+15//2)(x+(15)/(2))` `rArr y=(12.2)/(15)((x+15)/(2))` `rArr 5y=8x+60rArr8x-5y+60=0`
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