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Show that the equation of the line throu...

Show that the equation of the line through the origin and making an angle `theta` with the line y = mx+c is : `y/x= (m +- tan theta)/(1 overset(-)(+) m tan theta)` .

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. The perpendicular from the origin to the line y = mx + c meets it at t...

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  2. Two lines passing through the point (2, 3) intersect each other at an ...

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  3. Show that the equation of the line through the origin and making an an...

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  4. If the lines y=3x+1 and 2y=x+3 are equally inclined to the line y=mx+4...

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  5. Let ABC be a triangle with A(-1,-5), B(0,0) and C(2,2) and let D be th...

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  6. Find the image of the point (3, 8) with respect to the line x+3y=7, as...

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  7. What are inclinations to the x-axis of the st. lines : y=1/3x sqrt3+3 ...

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  8. Prove that the points (2, - 1), (0, 2), (3, 3) and (5,0) are the verti...

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  9. Prove that the diagonals of the parallelogram formed by the four strai...

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  10. The equations of three lines are given by : 15x -8y +1 =0, 12x+5y-3=0 ...

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  11. The three sides AB, BC, CA of a triangle are 5x - 3y +2 = 0,x-3y-2=0 a...

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  12. Find the equation of the line through the point (0, 2) making an angle...

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  13. Find the point of intersection of the straight lines : 2x + 3y-6 = 0...

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  14. Find the point of intersection of the straight lines : x= 0, 2x-y +3...

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  15. Find the point of intersection of the straight lines : x/3-y/4=0, x/...

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  16. Two lines cut the axis of x at distances of 4 and -4 and the axis of y...

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  17. If ax-2y-1=0 and 6x-4y+b=0 represent the same line, find the values of...

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  18. The line 2x-3y=4 is perpendicular bisector of the line AB. If the coor...

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  19. Show that the straight lines : x-y-1=0, 4x + 3y = 25 and 2x-3y + 1 = 0...

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  20. For what value of K are the three st. lines : 2x+y-3=0, 5x + ky-3=0 ...

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