If the lines a x+y+1=0,x+b y+1=0 and x+y...

If the lines `a x+y+1=0,x+b y+1=0` and `x+y+c=0(a ,b ,c` being distinct and different from `1)` are concurrent, then prove that `1/(1-a)+1/(1-b)+1/(1-c)=1.`

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ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)

If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0(a ,b ,c being distinct ...
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The line parallel to the x-axis and passing through the intersection o...
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The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...
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The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...
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A straight line L through the point (3,-2) is inclined at an angle 60^...
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The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...
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If the line 2x+y=k passes through the point which divides the line seg...
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A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...
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For a gt b gt c gt 0, the distance between (1, 1) and the point of int...
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Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...
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Let a, b, c and d be non-zero numbers. If the point of intersection of...
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For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...
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The number of points, having both co-ordinates as integers, that lie i...
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Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...
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