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Show that the straight lines (a-b)x+(b-c...

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

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The correct Answer is:
`-1`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-STRAIGHT LINE -TEXTUAL EXERCISES (EXERCISE-3(c))
  1. Find the point of intersection of the lines 4x+8y-1=0, 2x-8y+1=0

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  2. Find the point of intersection of the lines 5x-3y-3=0,4x+y-1=0

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  3. 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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  4. Transform the following equations intothe form L(1)+lamdaL(2)=0 and fi...

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  5. Transform the following equations intothe form L(1)+lamdaL(2)=0 and fi...

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  6. Find the value of p if the straight lines x+p=0, y+2=0, 3x+2y+6=0 are ...

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  7. Find the area of the triangle formed by the following straight lines a...

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  8. Find the area of the triangle formed by the line 3x-4y+12=0 with the c...

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  9. A straight line meets the coordinate axes in A and B. Find the equatio...

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  10. A straight line meets the co-ordinate axes at A and B. Find the equati...

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  11. A straight line meets the co-ordinate axes at A and B. Find the equati...

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  12. Find the equation of the straight line passing through the points (-1,...

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  13. A triangle of area 24 sq. units is formed by a straight line with the ...

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  14. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

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  15. Find the set of values of a if the points (1,2) and (3,4) lie to the s...

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  16. Show that the lines 2x+y-3=0, 3x+2y-2=0 and 2x-3y-23=0 are concurrent ...

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  17. Find the value of p, if the lines 3 x + 4 y = 5 , 2 x + 3y = 4 , px + ...

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  18. Find the value of 'p' if the lines 4x-3y-7=0 ,2x+py+2=0 and 6x+5y-1=0 ...

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  19. Determine whether or not the four straight lines with equations x+2y-3...

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  20. If 3a+2b+4c=0 then show that the equation ax+by+c=0 represents a famil...

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