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Consider a triangulat pyramid ABCD the p...

Consider a triangulat pyramid ABCD the position vector of whose angular points are `A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4)`. Let G be the point of intersection of the medians of the `triangle(BCD)`.
Q. Area of the `triangle(ABC)` (in sq. units) is

A

`24`

B

`8sqrt(6)`

C

`4sqrt(6)`

D

None of these

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The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
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  2. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  3. Consider a triangulat pyramid ABCD the position vector of whose angula...

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  4. Consider a triangulat pyramid ABCD the position vector of whose angula...

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  5. Consider a triangulat pyramid ABCD the position vector of whose angula...

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  6. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  7. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  8. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  9. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  10. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  11. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  12. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  13. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  14. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  15. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. A point ...

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  16. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

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  17. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

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  18. The vector equation of a plane is a relation satisfied by position vec...

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  19. The vector equation of a plane is a relation satisfied by position vec...

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  20. The vector equation of a plane is a relation satisfied by position vec...

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