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Prove that the diagonals of the parallel...

Prove that the diagonals of the parallelogram formed by the four lines :
`(x)/(a)+(y)/(b)=1`, `(x)/(a)+(y)/(b)=-1`, `(x)/(a)-(y)/(b)=1`, `(x)/(a)-(y)/(b)=-1` are at right angles.

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MODERN PUBLICATION-STRAIGHT LINES -Exercise 10(g)
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  7. Find the foot of the perpendicular from the point (-1,2) on the st. Li...

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  8. Prove that the diagonals of the parallelogram formed by the four lines...

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  9. Prove that the following lines are concurrent. (i)5x-3y=1, 2x+3y=23, 4...

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  10. The sides of a triangle are given by x-2y+9=0, 3x+y-22=0 and x+5y+2=0....

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  11. Obtain the co-ordinates of the feet of perpendiculars drawn from the o...

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  13. Find the area of triangle formed by the lines :\ x+y-6=0,\ x-3y-2=0\ a...

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  14. Two vertices of a triangle are (3,-1)a n d(-2,3) and its orthocentre i...

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  15. Find the co-ordinates of the incentre of the triangle formed by the li...

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  16. Find the co-ordinates of the circumcentre of the triangle whose vertic...

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  17. The length of the perpendicular from the origin to the line 3x-4y+5=0

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  18. The coordinates of points A, B and C are (1, 2), (-2, 1) and (0, 6). V...

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