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Prove that the points P,Q,R are collinea...

Prove that the points P,Q,R are collinear.
P(a, b+c), Q(b, c+a), R(c, a+b)

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If a, b, c are in A.P. then show that the terms given below are also in A.P. b + c, c + a, a + b

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KALYANI PUBLICATION-Co-ordinator Geometry-Exercise
  1. Prove that the points P,Q,R are collinear. P(1,5) ,Q(3,14), R(-1,-4)

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  2. Prove that the points P,Q,R are collinear. P(1,4),Q(3,-2),R(-3,16)

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  3. Prove that the points P,Q,R are collinear. P(a, b+c), Q(b, c+a), R(c,...

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  4. If the points (a,1) ,(3,4) ,(5,5) are collinear find a.

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  5. If (p+1 ,1),(2p+1 ,3), (2p+2, 2p) are collinear prove that,p= 2 or -1/...

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  6. For what value of p the points (-5,1) ,(1,p)and (4,-2 ) are collinear.

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  7. For what value of p the points (2,1) ,(p,-1)and (-1,3) are collinear.

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  8. If the points (a,0), (0,b) and (1,1) are collinear,then find the relat...

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  9. If the points (-3,9),(2,p),(4,-5)are collinear, prove that p+1=0

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  10. If the points (8,1),(3,-4),(2,p) are collinear, prove that p+5=0

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  11. If the points (p,0), (0,q)and (x,y) are collinear, prove that x/p+y/q=...

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  12. If D,E,F are the middle points of sides BC,CA,AB respectively of a tri...

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  13. The vertices of Delta ABC areA(2,3),B(4,-1)and C(1,2),Find the length...

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  14. The co-ordinates of A,B,C,D are A(6,3),B(-3,5),C(4,-2)and D(x,3x) resp...

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  15. Write the distance between (0,0) and (3,4).

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  16. Find the distance between following pair of points: (a cos theta, a si...

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  17. Write the mid-point of (a,0),(-a,-b)

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  18. If the points (a,0), (0,b) and (1,1) are collinear,then find the value...

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  19. The mid-point of the line joining the points (-6,5)and (-2,3) is-(a/3 ...

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  20. Fill in the blank The co-ordinates of any point on x-axis are in the f...

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