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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 always pass through the fixed point `(1/k,1/k)`
NA
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SRISIRI PUBLICATION-STRAIGHT LINES-EXAMPLE
  1. Find the equation of the line containing the points (1,2) and (1,-2)

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  2. Write the equation of the reflection of the line x=1 in the Y-axis.

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  3. If the linear equations ax+by+c=0, (a,b,c!=0) and lx+my+n=0 represent ...

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

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  5. Line L has intercepts a and b on the axes of co ordinates. When the ax...

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  6. Show that the straight lines (a-b)x+(b-c)y=c-a,(b-c)x+(c-a)y=a-b and (...

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  7. If the four straight lines ax+by+p=0, ax+by+q=0, cx+dy+r=0 and cx+dy+s...

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  8. An equilateral triangle has its incentre at the origin and one side as...

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

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  10. Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right an...

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  11. Find the angles of the triangle whose sides are x+y-4=0, 2x+y-6=0, 5x+...

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  12. Prove that the feet of the perpendicular from the origin on the lines ...

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  13. Each sides of a square is of lemgth 4 units. The centre of the square ...

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  14. If abgt0 find th area of the rhombus enclosed by the four straight lin...

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  15. Find the equation of the line perpendicular to the line 3x+4y+6=0 and ...

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  16. Find the incentre of the triangle formed by the straight lines x=1,y=1...

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  17. Find the incenter of the triangle formed by the straight lines y=sqrt(...

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  18. Find the point of intersection of the straight lines x/a+y/b=1 and x/b...

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  19. If theta is the angle between the lines x/a+y/b=1 and x/b+y/a=1 find t...

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  20. Let PS be the median of the triangle with vertices P(2,2),Q(6,-1) and...

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