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Prove that the line through the point (x...

Prove that the line through the point `(x_1,y_1)` and parallel to the line Ax + By + C = 0 is `A (x- x_1) + B (y- y_1) = 0`

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A N EXCEL PUBLICATION-STRAIGHT LINES-QUESTION BANK
  1. Find angles between the lines sqrt 3 x + y = 1 and x + sqrt 3 y = 1

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  2. The line through the points (h,3) and (4,1) intersects the line 7x - 9...

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  3. Prove that the line through the point (x1,y1) and parallel to the line...

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

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  5. Find the equation of the right bisector of the line segment joining th...

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  6. Find the co-ordinates of the foot at the perpendicular from the point ...

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  7. The perpendicular from the origin to a line y = mx + c meets it at the...

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  8. If p and q are the lenghts of the perpendiculars from the origin to th...

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  9. In the triangle ABC with vertices A (2,3), B (4, -1) and C (1,2), find...

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  10. Consider a line with equation x - sqrt 3 y + 4 =0 Reduce the given equ...

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  11. Consider a line with equation x - sqrt 3 y + 4 =0 Reduce the given equ...

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  12. Consider a line with equation x - sqrt 3 y + 4 =0 Reduce the given equ...

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  13. Find the length of the perpendicular from the origin to the line 2x - ...

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  14. Find the lenght of the perpendicular from the origin to the line x - 4...

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  15. Which of the above lines is farther from the origin ?

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  16. Consider the points A (2,4) and B (3,-1) By two point form find the eq...

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  17. Complete the following table

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  18. Prove that 2x + 3y - 6 =0 and 3x - 2y - 1 = 0 are perpendicular

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  19. Prove that 2x + 3y - 6 =0 and 4x + 6y + 1 = 0 are parallel

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  20. Suppose a line cuts off intercept 4 on the x-axis and the line makes a...

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