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Using slopes determine which of the following sets of three points are collinear. (i) (5, -2), (7, 6), (0, -2) (ii) (-2, 3), (8, -5), (5 4)

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In each of the following find the value of k for which the points are collinear. (i) (7, –2), (5, 1), (3, k) (ii) (8, 1), (k, – 4), (2, –5)

Show that the following sets of points are collinear. (2,\ 5),\ (4,\ 6) and (8,\ 8) (b) (1,\ -1),\ (2,\ 1) and (4,\ 5) .

Show that the following points are collinear. (-1,7) ,(3,-5), (4,-8)

Using distance formula, examine whether the sets of points are collinear : (3, 5), (1, 1), (-2, -5)

Using distance formula, examine whether the sets of points are collinear : (-1, 2), (5, 0), (2, 1)

Using determinants show that the following points are collinear: (1, -1), (2, 1) and (4, 5)

Examine whether the points are collinear or not: (-3,2),(-5,-4),(7,-6)

Using the method of slope, show that the following points are collinear: A(4,8),\ B(5, 12),\ C(9, 28)

Examine whether the following four points are collinear or not (4,7,8),(-1,-2,1),(2,3,4),(1,2,5) .

Using determinants, show that the following points are collinear : (i) (a+b,c),(b+c,a),(c+a,b) (ii) (5, 5),(10,7), (-5,1)

ICSE-THE STRAIGHT LINE -EXERCISE 16 (a)
  1. The side BC of an equilateral angleABC is parallel to the x-axis. What...

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  2. In a regular hexagon ABCDEF, AB||ED|| x-axis. What are the slopes of i...

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  3. Using slopes determine which of the following sets of three points are...

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  4. Find y if the slope of the line joining (-8, 11), (2, y) is -4/(3).

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  5. Find the angle between the line whose slope are 2 and -1 .

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  6. Find the slope of the line which makes an angle of 45^(@) with a line ...

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  7. Find the interior angle of the triangle whose vertics are A(4, 3), B(-...

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  8. Find the slope of a line parallel to a line whose slope is (i) -3 ...

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  9. Find the slope of a line parallel to the which passes through each pai...

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  10. Find the slope of a line parallel to the which passes through the foll...

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  11. Find the slope of a line parallel to the which passes through the foll...

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  12. Find the slope of a line parallel to the line which passes through th...

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  13. Find the slope of a line perpendicular to the line whose slope is 1...

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  14. Find the slope of a line perpendicular to the line whose slope is ...

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  15. Find the slope of a line perpendicular to the line whose slope is 5.

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  16. Find the slope of a line perpendicular to the line whose slope is -5...

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  17. Find the slope of a line perpendicular to the line whose slope is 0

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  18. Find the slope of a line perpendicular to the line whose slope is I...

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  19. Find the slope of a line perpendicular to the line which passes throug...

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  20. Find the slope of a line perpendicular to the line which passes throug...

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