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Show that if any line through the variable point `A(k+1,2k)` meets the lines `7x+y-16=0,5x-y-8=0,x-5y+8=0` at `B ,C ,D ,` respectively, the `A C ,A B ,a n dA D` are in harmonic progression. (The three lines lie on the same side of point `Adot)dot`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  14. Find the foot of the perpendicular from the point (2,4) upon x+y=1.

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  15. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are ...

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  17. The equation of the line which bisects the obtuse angle between the li...

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