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If bar(a), bar(b), bar(c) are the positi...

If `bar(a), bar(b), bar(c)` are the position vectors of the vertices A, B, C of the triangle ABC, then the equation of the median from A to BC is

A

`bar(r)=bar(a)+t(bar(b)+bar(c))`

B

`bar(r)=bar(a)+t[1/2(bar(b)+bar(c))-bar(a)]`

C

`bar(r)=bar(a)+t(bar(b))+bar(c)`

D

`bar(r)=-bar(a)+t(bar(b))+bar(c)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

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  2. The position vectors A, B are bar(a), bar(b) respectively. The positio...

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  3. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

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  4. The equation to the altitude of the triangle formed by (1, 1, 1), (1, ...

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  5. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

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  6. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

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  7. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

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  8. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

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  9. A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel...

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  10. The point of intersection of the line passing through bar(i)-2bar(j)-b...

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  11. Statement-I : If two vectors are collinear then those vectors are copl...

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  12. Statement-I : Two non zero, non collinear vectors are linearly indepen...

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  13. The descending order of magnitudes of the vectors A=(i-j)/sqrt(2), B=b...

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  14. If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is...

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  15. Observe the following statements : Assertion (A) : Three vectors are...

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  16. If the vector bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear ...

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  17. If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) ...

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  18. If the points whose position vectors are 2bar(i)+bar(j)+bar(k), 6bar(i...

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  19. Let bar(b)=bar(i)-2bar(j)+3bar(k), bar(a)=2bar(i)+3bar(j)-bar(k) and b...

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  20. The points whose position vectors are 2bar(i)+3bar(j)+4bar(k), 3bar(i)...

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