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Three points A,B,C are collinear they li...

Three points A,B,C are collinear they lie on the shown in the figure.can you draw `triangleABC`?if not why .

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Collinearity of three points

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Given four points A, B, C, D such that three points ABC are collinear. By joining these points in order to get a closed figure, we get :-

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If O be the origin the vector vec(OP) is called the position vector of point P. Also vec(AB)=vec(OB)-vec(OA) . Three points are said to be collinear if they lie on the same stasighat line.Points A,B,C are collinear if one of them divides the line segment joining the others two in some ratio. Also points A,B,C are collinear if and only if vec(AB)xxvec(AC)=vec0 Let the points A,B, and C having position vectors veca,vecb and vecc be collinear Now answer the following queston: (A) veca.vecb=veca.vecc (B) vecaxxvecb=vecc (C) vecaxxvecb+vecbxxvecc+veccxxveca=vec0 (D) none of these

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RS AGGARWAL-PROPERTIES OF TRIANGLES-EXERCISE 15-D
  1. Three points A,B,C are collinear they lie on the shown in the figure.c...

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  2. Find the length of the hypotenuse of a rigt triangle,the other two sid...

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  3. The ypotenuse of a right trianle is 26cm long. If one of the remaining...

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  4. The length of one side of a right triangle 4.5 cm and the length of it...

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  5. The two legs of a right triangle are equal and the square of its hypot...

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  6. The sides of a triangle measure 15 cm ,36cm and 39cmShow that it is a ...

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  7. In right triangleABC the lengths of its legs are given as a=6cm and b=...

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  8. The length of the sides of some triangles aregiven below .Which of the...

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  9. In a triangle ABC,angleB=35^(@) and angleC=55^(@).Write of the followi...

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  10. A 15-m long ladder is placed against a wall to reach a window 12 m hig...

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  11. A 5-m long ladder when set against the wall of a house reaches a heigh...

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  12. एक पेड़ भूमि से 5m की ऊंचाई पर टूट जाता है और उसका ऊपरी सूरा भूमि को उस...

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  13. Two poles 18m and 13 m high stand upright in a playground If their fee...

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  14. A man goes 35m due west and then 12 m due north. How far is he from th...

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  15. A man goes 3 km due north and then 4 km due east.How far is away from ...

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  16. Find the length of diaonal of the rectangle whose sides are 16 cm and ...

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  17. Find the perimeer of the rectangle whose length is 40 cm and diagonal ...

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  18. Find the perimeter of a rhombus ,the lengths of whose diagonal are 16c...

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  19. Fill in the blanks: In a right triangle,the square of the hypotenuse i...

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