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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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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-STRAIGHT LINE -TEXTUAL EXERCISES (EXERCISE-3(b))
  1. If p denotes the distance of the straight line from origin and alpha d...

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  2. If p denotes the distance of the straight line from origin and alpha d...

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  3. Find the equations of the straight lines in the symmetric form, given ...

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  4. Find the equations of the straight lines in the symmetric form, given ...

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  5. Find the equation of the straight line in the symmetric form in the fo...

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  6. Transform the following equation into a) Slope-intercept form b) I...

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  7. Transform the following equations into a. Slope intercpetform b. I...

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  8. Transform the following equations into a. Slope intercpetform b. I...

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  9. Transform the following equations into a. Slope intercpetform b. I...

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  10. Transform the following equations into a. Slope intercpetform b. I...

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  11. Transform the following equations into a. Slope intercpetform b. I...

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  12. If the product of the intercepts make by the straight line xtan alpha+...

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

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

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  15. Transform the equation x/a+y/b=1 into normal form where agt0, bgt0. If...

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  16. A straight line passing through A (-2,1), makes an angle of 30^(@) wit...

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  17. Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...

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  18. A straight line whose inclination with the positive direction of the X...

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  19. A straight line L is drawn through the point A(2,1) is such that its p...

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

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