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If the length of perpendicular from orig...

If the length of perpendicular from origin to the line `ax+by+a+b=0` is `p`, then show that :
`p^(2)-1=(2ab)/(a^(2)+b^(2))`

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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
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  2. Show that the distance between the parallel lines ax+by+c=0 and k(ax+b...

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  3. If the length of perpendicular from origin to the line ax+by+a+b=0 is ...

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  8. Find the co-ordinates of the orthocentre of a triangle whose vertices ...

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  9. The equation of one diagonal of a square is 2x+y=6 and its one vertex ...

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  10. The co-ordinates of the vertex of an equilateral triangle are (2,-1) a...

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  11. A ray of light is rent along the line x-2y-3 = 0. Upon reaching the li...

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  12. Find the equation of the straight line through the origin making angle...

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  13. Show that the straight lines given by (2+k)x+(1+k)y=5+7k for different...

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  14. Find the equation of a line passing through the point of intersection ...

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  15. Find the equation of a line passing through the point of intersection ...

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  16. Find the equation of line passing through the point of intersection of...

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  20. The co-ordinates of the vertices of DeltaABC are A(-2,4), B(5,5) and C...

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