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Using distance formula, check whether fo...

Using distance formula, check whether following points are collinear of not.
(i) `L(4, - 1) M(1,-3), N(-2, -5)`
(ii) `A(-5, 4), B(-2,-2) C(3,-12)`

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The correct Answer is:
`(0,9)`
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CHETAN PUBLICATION-CO-ORDINATE GEOMETRY -PROBLEM FOR PRACTICE
  1. Show that point (0,9) is equidistant from point (-4,1) and (4,1)

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  2. Find a point on the y-axis which is equidistant from the point A(6,...

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  3. Using distance formula, check whether following points are collinear o...

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  4. Find the distance of point Z(-2.4, -1) from the origin.

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  5. Show that the points A(4, 7 ) B (8,4) and C(7,11) are the vertices of ...

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  6. Show that A(4,-1), B(6,0), C(7,-2) and D(5, -3) are vertices of a squa...

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  7. Find the coordinates of the circumcentre of PQR if P(2,7), Q(-5,8) and...

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  8. The vertices of a triangle are (2, 4), B (2,6),C (2+ sqrt3,5). The tri...

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  9. Find the coordinates of the circumcentre of ABC, if A(2,3), B(4,-1) an...

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  10. Show that points A(1,-5), B(-4,-8), C(-1. -13) and D(4,-10) are the ve...

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  11. Find the coordinates of the point P which divides line segment QR in t...

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  12. Find the coordinates of the midpoint of segment QR, ifQ(2.5,-4.3)and R...

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  13. Find the coordinates of the midpoint P of seg AB, if A(3.5,9.5) and B ...

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  14. In what ratio does the point(1,3) divide line segment joining the poin...

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  15. Find the lengths of the medians of a A B C whose vertices are A...

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  16. Show that the mid-point of the line segment joining the points (5,\...

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  17. Segments AB and CD bisects each other at point M. If A(4,3), B(-2,5), ...

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  18. Find the ratio in which the line segment joining the points (6,4) and ...

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  19. Find the coordinates of the points which divide the line segment joini...

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  20. Find the coordinates of the points which divide segment AB into four e...

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