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P, Q, R are the mid-points of the sides BC, AC, and AB respectively of `triangleABC`. If `G_1(overline(g_1)) and G_2(overline(g_2))` are the centroids of the `triangleABC and trianglePQR` respectively, then

A

`overline(g_1)=3overline(g_2)`

B

`overline(g_2)=3overline(g_1)`

C

`overline(g_1)=-overline(g_2)`

D

`overline(g_1)=overline(g_2)`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. If G1 and G2 are the centroid of triangleABC and trianglePQR respectiv...

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  4. If G is the point of concurrence of the median of triangleABC, then ov...

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  5. Let G be the centroid of a triangle PQR and S be any other point, the ...

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  6. If G is the centroid of triangle ABC and L is a point on BC, such that...

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  7. If G is the point of concurrence of the median of triangleABC, then ov...

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  8. D, E and F are the mid-points of the sides BC, CA and AB respectively ...

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  9. If P is the orthocentre and Q is the circumcentre of triangle(ABC), th...

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  10. If P is the orthocentre and Q is the circumcentre of triangleABC, then...

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  11. IF G (barg),H (barh)and p(barp) are centroid orthocenter and ci...

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  12. If O is the circumcentre, G is the centroid and O' is orthocentre or t...

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  13. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

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  14. In an isosceles triangleABC, If AB=AC and AD is the median, then overl...

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  15. In a triangle O A B ,\ /A O B=90^0dot If P\ a n d\ Q are points of tri...

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  16. In parallelogram ABCD, if P is the mid-point of side AB, then

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  17. In parallelogram ABCD, if overline(AB)=overline(a) and overline(AD)=ov...

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  18. If the two adjacent sides of a parallelogram are given by hat(i)+2hat(...

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  19. Let overset(to)(OA) = overset(to)(a), overset(to)(OB)= 10overset(to)(a...

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  20. By method, show that the quadrilateral with vertices A(1,2,-1), B(8,-3...

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