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If M and N are the mid-points of the dia...

If M and N are the mid-points of the diagonals AC and BD respectively of a quadrilateral ABCD, then the of `vec (AB)+ vec(AD)+vec(CB)+vec(CD)` equals

A

`2overline(MN)`

B

`2overline(NM)`

C

`4overline(MN)`

D

`4overline(NM)`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. OABC is a tetrahedron D and E are the mid points of the edges vec (OA)...

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  3. If M and N are the mid-points of the diagonals AC and BD respectively ...

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  4. ABCD is a rhombus and P, Q, R and S are wthe mid-points of the side...

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  5. If P, Q are the mid-points of the diagonals AC and BD of a quadrilater...

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  6. If ABCD is a quadrilateral, then 2overline(AB)+3overline(BC)+2overline...

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  7. If ABCD is a square, then bar(AB) + 2 bar(BC) + 3 bar(CD) + 4 bar(DA...

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  8. ABCD is a parallelogram with AC and BD as diagonals. Then, A vec C - ...

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  9. Let ABCD is a parallelogram and vecAC, vecBD be its diagonal, then vec...

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  10. ABDC is a parallelogram and P is the point of intersection of its diag...

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  11. ABCD is a parallelogram and O is the point of intersection of its diag...

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  12. In parallelogram ABCD,if P, Q are mid-points of BC and CD respectively...

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  13. If A B C D is a rhombus whose diagonals cut at the origin O , then ...

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  14. If PQRST is a pentagon, then overline(PQ)+overline(PR)+overline(PS)-ov...

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  15. ABCDE is a pentagon. The resultant of the vectors overline(AB), overli...

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  16. If ABCDE is a pentago, then overline(AB)+overline(BC)+overline(CD)+ove...

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  17. overline(a), overline(b) are vectors, overline(AB), overline(BC) deter...

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  18. If ABCDEF is a regular hexagon inscribed in a circle with centre O, th...

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  19. If ABCDEF is a regular hexagon, then overline(AB)+overline(AC)+overlin...

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  20. In a regular hexagon ABCDEF, vec(AE)

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