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Find the distance between the given poi...

Find the distance between the given points.
(i) `A(3,-4), B(-5,6),`
(ii) `P(10, -8), Q, (-3, -2)`
(iii) `K(0,-5), L (-5, 0)`
(iv) `I(3.5, 6.8), J(1.5,2.8)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `2sqrt(41)` (ii) `sqrt(205)` (iii) `5sqrt(2)` (iv) `2sqrt (5)`
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CHETAN PUBLICATION-CO-ORDINATE GEOMETRY -PROBLEM FOR PRACTICE
  1. Find the distance between the given points. (i) A(3,-4), B(-5,6), ...

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  2. Show that the point (5, 11) is equidistant from the Points (-5, 13) an...

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  3. Check whether points (3, 3), (-4, -1) and (3, - 5) are the vertices of...

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  4. Find the relation between x and y, where point (x, y) is equidistant f...

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  5. Show that point (0,9) is equidistant from point (-4,1) and (4,1)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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