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Find the value of 'a' for which the foll...

Find the value of 'a' for which the following points A (a, 3), B (2, 1) and C (5, a) are collinear. Hence, find the equation of the line.

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The correct Answer is:
`a = 4 or -1`. Equation is `x - y = 1 or 2x + 3y = 7`
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ICSE-EQUATION OF A LINE-EXERCISE 14(D)
  1. Find the equation of the line passing through (-5, 7) and parallel to ...

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  2. Find the equation of the line passing through (5, -3) and parallel to ...

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  3. Find the equation of the line parallel to the line 3x + 2y = 8 and pas...

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  4. Find the equation of the line passing through (-2, 1) and perpendicula...

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  5. Find the equation of the perpendicular bisector of the line segment ob...

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  6. In the following diagram, write down : the co-ordinates of the po...

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  7. In the following diagram, write down :   the equation of the line ...

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  8. B (-5, 6) and D (1, 4) are the vertices of rhombus ABCD. Find the equa...

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  9. A = (7, -2) and C = (-1, -6) are the vertices of square ABCD. Find the...

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  10. A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. fi...

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  11. A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. fi...

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  12. A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. fi...

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  13. Write down the equation of the line AB, through (3, 2) and perpendicul...

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  14. A line AB meets the x-axis at A and the y-axis at B. P(4,-1) divides A...

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  15. The line 4x - 3y + 12 = 0 meets x-axis at A. Write the co-ordinates o...

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  16. The point P is the foot of perpendicular from A (-5, 7) to the line 2x...

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  17. The point P is the foot of perpendicular from A (-5, 7) to the line 2x...

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  18. The points A, B and Care (4, 0), (2, 2) and (0, 6) respectively. Find ...

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  19. Match the equations A, B, C and D with the lines L1, L2, L3 and L4, wh...

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  20. Find the value of 'a' for which the following points A (a, 3), B (2, 1...

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