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Prove that the following lines are concu...

Prove that the following lines are concurrent. `(i)5x-3y=1`, `2x+3y=23`, `42x+21y=257`
`(ii) 2x+3y-4=0`, `x-5y+7=0`, `6x-17y+24=0`

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MODERN PUBLICATION-STRAIGHT LINES -Exercise 10(g)
  1. Find the point of intersection of the straight lines : (i) 2x+3y-6=0...

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  2. Two lines cut on the axis of x intercepts 4 and -4 and on the axis of ...

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  3. If ax-2y-1=0 and 6x-4y+b=0 represent the same line, find the values of...

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  4. The line 2x-3y = 4 is the perpendicular bisector of the line segment A...

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  5. Show that the straight lines : x-y-1=0, 4x+3y=25 and 2x-3y+1=0 are c...

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  6. For what value of k are the three st.lines : 2x+y-3=0 , 5x+ky-3=0 an...

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  7. Find the foot of the perpendicular from the point (-1,2) on the st. Li...

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  8. Prove that the diagonals of the parallelogram formed by the four lines...

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  9. Prove that the following lines are concurrent. (i)5x-3y=1, 2x+3y=23, 4...

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  10. The sides of a triangle are given by x-2y+9=0, 3x+y-22=0 and x+5y+2=0....

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  11. Obtain the co-ordinates of the feet of perpendiculars drawn from the o...

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  12. Find the coordinates of the orthocentre of a triangle whose vertices a...

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  13. Find the area of triangle formed by the lines :\ x+y-6=0,\ x-3y-2=0\ a...

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  14. Two vertices of a triangle are (3,-1)a n d(-2,3) and its orthocentre i...

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  15. Find the co-ordinates of the incentre of the triangle formed by the li...

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  16. Find the co-ordinates of the circumcentre of the triangle whose vertic...

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  17. The length of the perpendicular from the origin to the line 3x-4y+5=0

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  18. The coordinates of points A, B and C are (1, 2), (-2, 1) and (0, 6). V...

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