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Find the point of intersection of the fo...

Find the point of intersection of the following pair of lines :
`(i) 9x-10y=12` and `2x-5=0`
`(ii) y=m_(1)x+c_(1)` and `y=m_(2)x+c_(2)`
`(iii) x+y=8` and `x-y=2`

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The correct Answer is:
`(i) ((5)/(2),(21)/(20))` `(ii) ((c_(2)-c_(1))/(m_(1)-m_(2)),(c_(2)m_(1)-m_(2)c_(1))/(m_(1)-m_(2)))` `(iii) (5,3)`
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the slope of a line perpendicular to the line 3x+5y=8.

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  2. If a line passes through the points (a,1) and (3,-5), meets the line 3...

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  3. Find the point of intersection of the following pair of lines : (i) ...

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  4. (i) Find the value of 'a' if the lines 3x-2y+8=0, 2x+y+3=0 and ax+3y+1...

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  5. Find the equation of line joining origin to the point of intersection ...

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  6. Find the equation of a line passing through origin and parallel to the...

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  7. Find the equation of a line passing through origin and parallel to the...

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  8. Find the equation of a line passing through the point (-1,-2) and para...

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  9. Find the equation of a line passing through the intersection of the li...

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  10. Find the equation of a line parallel to the line x cos alpha+ y sin al...

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  11. Find the equation of a line passing through the point (-1,0) and perpe...

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  12. Find the equation of perpendicular bisector of line segment joining th...

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

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  14. Find the length of perpendicular drawn from point (2,-1) to the line 3...

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  15. Find the length of perpendicular drawn from origin to the line 12x-5y=...

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  16. Find the length of perpendicular from the point (-1,-2) to the line x=...

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  17. Find the length of perpendicular from origin to the line x+7y+4sqrt(2)...

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  18. Find the distance between the parallel lines 5x+12y-20=0 and 5x+12y+6=...

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  19. The co-ordinates of the foot of perpendicular drawn from origin to a l...

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  20. Find the length of perpendicular from the point (a cos alpha, a sin al...

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