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The line segment AB is divided into fiv...

The line segment AB is divided into five congruent parts at P ,Q ,R and S such that A-P-Q-R-S-B . If point Q (12,14) and S(4,18) are given , find the co-ordinates of A,P,R,B.

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The correct Answer is:
A(20, 10), P(16, 12), R(8, 16), B(0, 20).
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BAL BHARTI-CO-ORDINATE GEOMETRY-Problem set 5
  1. Find the distance between the following pairs of points (ii)P(-6,-3),Q...

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  2. Find the distance between the following pairs of points (iii)R(-3a,a),...

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  3. Find the coordinates of circumcentre of a triangle whose vertices are ...

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  4. In the following example, can the segment joining the given points for...

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  5. In the following examples,can the segment joining the given points for...

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  6. In the following example, can the segment joining the given points for...

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  7. Find k, if the line passing through points P(-12,-3) and Q(4,k) has sl...

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  8. Show that the line joining the points A(4,8) and B(5,5) is parallel to...

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  9. Show that the points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertic...

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  10. Show that the square PQRS formed by P(2,1),Q(-1,3),R(-5,-3),S(-2,-5) i...

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  11. Find the equations of the sides of a triangle whose vertices areA(-1,8...

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  12. Find the coordinates of centroid of a triangle whose vertices are (3, ...

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

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  14. Find the co-ordinates of circumcentre and radius of a circumcircle of ...

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  15. Given A(4,-3), B(8,5). Find the co-ordinates of the point that divides...

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  16. Find the area of quadrilateral whose vertices are:A(-3,1),B(-2,-2),D(1...

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  17. The line segment AB is divided into five congruent parts at P ,Q ,R a...

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  18. Find the co-ordinates of the center of the circle passing through the ...

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  19. Find the possible pairs of co-ordinates of the fourth vertex D of the ...

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  20. Find the slope of the diagonals of a quadrilateral with vertices A(1,7...

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