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If a+b+c=0 for all positions of the moving line `ax+by+c=0 , show that the line always passes throught a fixed point . Find the coordinates of that fixed point.

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(1,1)
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CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2A (Short Answer Type Questions )
  1. A straight line moves in such a manner that the sum of the reciprocals...

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  2. The numberical value of the area of the triangle formed by a moving li...

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  3. The points P(h,k) and Q (k,h) lie on the respective lines 6x-y=1and2x-...

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  4. The perimeter of the triangle formed by the straight line 4x+3y-k=0 w...

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  5. If a+b+c=0 for all positions of the moving line ax+by+c=0 , show that...

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  6. Show that the straight line (a+2b)x+(a-3b)y+b-a=0 always passes throu...

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  7. Show that the equation of the straight line xcosalpha+ysinalpha=p can ...

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  8. If p(1)andp(2) be the lenghts of the perpendiculars from the origin u...

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  9. Find the equation of the straight line through the point (3,2) and the...

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  10. If the straight line ax+y+6=0 passes through the point of intersecti...

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  11. Find the equation of the straight line which passes through the point ...

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  12. Find the equation of the straight line which makes intercepts on the a...

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  13. A ray of light start from P(1,2) , reflect on x-axis at A and hence p...

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  14. Find the equations to the straight lines which are at a distance of 2 ...

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  15. Find the equation of the straight line through the point of intersecti...

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  16. Examine whether the striaght lines x-y+4=0,2x+3y-6=0 and 8x+7y-26=0 a...

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  17. For what value of a the three straigh lines 7x-11y+3=0,4x+3y-9=0and 13...

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  18. If the straight lines a(1)x+b(1)y+c=0,a(2)x+b(2)y+c=0anda(3)x+b(3)y+c=...

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  19. Show that the equation of the straight line throught (alpha,beta) and ...

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  20. Prove that the locus of the mid - point of the portion of the line seg...

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