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If the sum of the reciprocals of the in...

If the sum of the reciprocals of the intercepts made by a variable straight line on the axes of coordinates is a constant, then prove that the line always passes through a fixed point.

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The correct Answer is:
`(1/k,1/k)`
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AAKASH SERIES-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the equation of the straight line through the point (4,3) and per...

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  2. Find the locus of the foot of the perpendicular from the orign to a va...

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  3. If the sum of the reciprocals of the intercepts made by a variable st...

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  4. A straight line L with negative slope passes through the point (8,2) a...

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  5. Find the equation of the straight line whose distance from the origin ...

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  6. Transform the equation x+y+1=0 into Normal form.

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  7. Tranform the following equations into normal form. 2x-3y+6=0

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  8. Find the point of intersection of the lines 5x-3y-3=0,4x+y-1=0

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  9. Find the length of the altitude from A to the side BC of DeltaABC form...

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  10. Find the value of a if the distances of the points (2,3) and (-4,a) fr...

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  11. Show that the product of the perpendicular from two points (+-sqrt(a^(...

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  12. A straight line passing through A (1, -2) makes an angle Tan^(-1) 4/3 ...

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  13. A straight line through P(3,4) makes an angle of 60^(@) with the posit...

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  14. A straight line through Q(sqrt(3),2) makes an angle pi//6 with positiv...

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  15. A straight line parallel to the line y=sqrt(3)x passes through Q(2,3) ...

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  16. Find the point of intersection of the lines 17x+2y-28=0 and 7x+2y-8=...

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  17. Show that the lines x+2=0,y-1=0 and 2x+3y+1=0 are concurrent.

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  18. Find the value of p, if straight line x+p=0,y+2=0 3x+2y+5=0 are concur...

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  19. Find the value of lamda if the lines 2x+3y+lamda=0, 3x-4y-13=0 and 8x-...

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  20. If the lines 2x-py+1=0, 3x-qy+1=0 and 4x-ry+1=0 are concurrent show th...

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