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If the straight lines ax + by + c= 0 , b...

If the straight lines ax + by + c= 0 , bx +cy + a = 0 and cx +ay + b =0 are concurrent , then prove that `a^(3)+b^(3)+c^(3)=3abc` .

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The correct Answer is:
p=4
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AAKASH SERIES-STRAIGHT LINES-EXERCISE 3.4( SHORT ANSWER QUESTIONS)
  1. Show that the lines 2x+y-3=0, 3x+2y-2=0 and 2x-3y-23=0 are concurrent ...

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  2. 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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  3. If the straight lines ax + by + c= 0 , bx +cy + a = 0 and cx +ay + b =...

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

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

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

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  8. Find the point of concurrence of the set of lines (k+1)x + (k +2)y + 5...

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

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  10. If non zero numers a,b,c are in harmonic progression, the show that th...

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  11. Find the point on the straight line 3x+y+4=0 which is equidistant from...

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  12. Find the perpendicular distance between the point of intersection of 3...

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  13. Find the equation of the straight line passing through (0,0) and also ...

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  14. Find the equation of the straight line passing through the point of in...

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  15. Find the equation of the straight line making non zero equal intercept...

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  16. Find the equation of the straight line parallel to 3x+4y=7 and passing...

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  17. The equation of the straight line perpendicular to 5x-2y=7 and passing...

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