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If the lines ax + y + 1 = 0, x + by + 1...

If the lines ` ax + y + 1 = 0, x + by + 1 = 0 and x + y + c = 0` are concurrent then prove that,
`(1)/( 1-a) + (1) /( 1-b) + (1) /( 1-c) =`.

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KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. If origin is shifted to point (1,-2) then find the new transformed for...

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  2. At which origin will be shifted so, that new coordinate at point (4,5)...

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  3. On which point we shift origin so that new transformed form of the equ...

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  4. Prove that area at triangle will remain same by shifting origin at any...

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  5. By shifting origin at (-2,3) find new transformed form at the equation...

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  6. Find equation of line passes from ( sqrt(3) ,-1) whose perpendicular d...

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  7. Two oppositive verticies of rectangle are (-3,1) and (1,1). Also equat...

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  8. Lines 3x+4y+5=0 and 4x-3y-10=0 intersects at point A. B is the point o...

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  9. Find image of point (-8, 12) with respect to line 4x+7y+ 13=0.

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  10. Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0...

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  11. A(0,-1,-2), B(3,1,4) and C(5,7,1) are vertices of DeltaABD then find t...

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  12. Point (2, 1) has reflection as simple mirror (5, 2). Find equation of ...

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  13. Base of the equilateral triangle is along the line x + y- 2 = 0 and it...

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  14. Find equation of line passess from point (2, 3) and cuts line segment ...

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  15. Find equation of line whose sum and product of intercepts on axis are ...

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  16. Without finding point of intersection obtain the equation of line pass...

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  17. Two adjacent sides of the parallogram are 4x + 5y = 0 and 7x + 2y = 0 ...

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  18. If m(1) and m(2) are the roots of the equation x^(2) + ( sqrt(3) + 2) ...

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  19. Find distance from point (3, 5) to the line 2x + 3y = 14 and the dista...

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  20. If the lines ax + y + 1 = 0, x + by + 1 = 0 and x + y + c = 0 are co...

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