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A variable line through the point of int...

A variable line through the point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` , meets the co-ordinate axes in A and B, then the locus of mid point of AB is

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If the line (x)/(b) + (y)/(b) = 1 moves in such a way that (1)/(a(2)) ...

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  2. Consider the lines given by L1: x+3y-5=0 L2:3x-k y-1=0 L3:5x+2y-12=0...

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  3. A variable line through the point of intersection of the lines x/a+y/b...

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  4. The line 3x+2y=24 meets the y-axis at A and the x-axis at B. The perpe...

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  5. Find the equation of the line passing through the point (2,2) and cutt...

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  6. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

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  7. A ray of light is sent along the line 2x-3y=5. After refracting across...

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  8. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

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  9. A ray of light is rent along the line x-2y-3 = 0. Upon reaching the li...

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  10. Line L has intercepts a and b on the coordinate axes. When the axes ar...

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  11. If the sum of the distances of a point from two perpendicular lines i...

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  12. A line 4x + y = 1 through the point A(2,-7) meets the line BC whose eq...

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  13. A straight canal is 4 1/2m i l e s from a place and the shortest route...

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  14. Let PS be the median of the triangle with vertices P(2,""2),""Q(6,-1)"...

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  15. Find the equation of the line which satisfy the given conditions : ...

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  16. The number of integral values of m for which the x-coordinate of the p...

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  17. Reduce the line 2x-3y + 5 =0, in slope-intercept, intercept and normal...

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  18. Prove that, The line 5x + 4y = 0 passes through the point of intersect...

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  19. Passing through the point (– 4, 3) with slope 1/2 then the equation of...

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  20. The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concy...

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