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Find k if A (k + 1, 24), B(3k, 2k + 3), ...

Find k if A (k + 1, 24), B(3k, 2k + 3), and C(5k-1, 5k) are collinear.

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The correct Answer is:
k = `(1)/(2)`.
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ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
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  2. Find the area of A ABC where A(-3/2, 3), B{6, -2), and C(-3,4 ).

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  3. Find k if A (k + 1, 24), B(3k, 2k + 3), and C(5k-1, 5k) are collinear.

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  4. Find the ratio in which x - y - 2 = 0 divides the line segment joining...

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  5. The length of a line segment is sqrt(29) units. If one end is at (-3,5...

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  6. Given P(at^(2), 2at) , Q ((a)/(t^(2)) , (-2a)/(t) ) , and S(a, 0 ) , s...

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  7. Use a graph sheet to plot points P (-2, 2), Q (4, -2), and R (5, 2). C...

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  8. James started from a point X, 4 units away from the origin above the X...

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  9. The base AB of an equilateral Delta ABC of side 2p lies along the X-ax...

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  10. Plot points P (3, 8) and Q (3,-8). Join AOPQ. What kind of a Delta is ...

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  11. If A (3,y ) is equidistant from P (8,-3) and Q(7, 6), find y and the d...

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  12. Find the values of y for which the distance between the points P(2, -3...

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  13. Find the equation of the perpendicular bisector of the line segment jo...

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  14. If P (2,2) is equidistant from A (-2, k) and B (-2k,-3), find k. Also ...

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  15. Find a point equidistant from A (-5, 4) and B(-1,6). How many such poi...

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  16. Show that (1, 0), (0, 1), (-3,4) are on a straight line.

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  17. If P (x, y) lies on a circle whose centre is (3,-2) and radius is 3, s...

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  18. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

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  19. Prove that (2a, 4a), (2a, 6a), and (2a +sqrt(3a), 5a) are the vertices...

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  20. Find the area of a triangle whose vertices are (1,-1),(-4,6) and (-3,-...

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