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(i) Find the value of 'a' if the lines 3...

`(i)` Find the value of `'a'` if the lines `3x-2y+8=0`, `2x+y+3=0` and `ax+3y+11=0` are concurrent.
`(ii)` If the lines `y=m_(1)x+c_(1)`, `y=m_(2)x+c_(2)` and `y=m_(3)x+c_(3)` meet at point then shown that :
`c_(1)(m_(2)-m_(3))+c_(2)(m_(3)-m_(1))+c_(3)(m_(1)-m_(2))=0`

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Verified by Experts

The correct Answer is:
`a=7`
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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
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  2. Find the point of intersection of the following pair of lines : (i) ...

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  3. (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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  4. Find the equation of line joining origin to the point of intersection ...

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

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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 the point (-1,-2) and para...

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

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

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

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

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

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

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

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

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

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

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  18. (i) Find the co-ordinates of the foot of perpendicular from point (-1,...

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

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  20. Find the distance between the parallel lines x+4sqrt(3)y+10=0 and x+4s...

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