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Questions  

Equations of the straight lines passing through the point (4, 3) and making intercepts on the coordinate axes whose sum is -1 are

a
x/2+y/3=1    and   x/2+y/1=1
b
x/2−y/3=−1      and  x/(−2)+y/1=−1
c
x/2+y/3=1  and  x/(−2)+y/1=−1
d
x/2−y/3=1    and  x/(−2)+y/1=1

detailed solution

Correct option is D

Let the equation of the line be xa+y−1−a=1.Since it passes through (4,3),  4a+3−1−a=1⇒     a2=4    ⇒   a=±2and the required equations arex2+y−3=1    and       x−2+y1=1

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The equation of the straight line which passes through the point4,3 such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is 


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