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In DeltaABC, the bisector of angleA is b...

In `DeltaABC`, the bisector of `angleA` is `bar(AD)`.
`bar(AD)=alpha bar(AB)+beta bar(AC)`, where ……………..

A

`alpha=(|bar(AB)|)/(|bar(AB)+bar(AC)|),beta=(|bar(AC)|)/(|bar(AB)+bar(AC)|)`

B

`alpha=(|bar(AC)|)/(|bar(AB)|+|bar(AC)|),beta=(|bar(AB)|)/(|bar(AB)|+|bar(AC)|)`

C

`alpha=(|bar(AB)|)/(|bar(AC)|),beta=(|bar(AC)|)/(|bar(AB)|)`

D

None of these

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The correct Answer is:
B
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. |bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each ...

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  2. bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj...

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  3. In DeltaABC, the bisector of angleA is bar(AD). bar(AD)=alpha bar(AB...

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  4. The vector bar(a)=(x,y,z) makes an obtuse angle with y- axis. bar(b)=(...

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  5. The vectors bar(a) and bar(b) are unit vectors perpendicular to each o...

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  6. bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).ba...

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  7. The modulus of the vectors bar(a) and bar(b) are 2 and 3 respectively....

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  8. For a vector bar(a),bar(a)xx vec( r )=bar(j) then bar(a).bar( r ) = ……...

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  9. If bar(mu)=bar(a)-bar(b),bar(v)=bar(a)+bar(b),|bar(a)|=|bar(b)|=2 then...

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  10. In a parallelogram ABCD, vec(AB)=hati+hatj+hatk and diagonal vec(AC)=h...

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  11. The points A(vec(a)),B(vec(b)) and C(vec( c )) are collinear then …………...

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  12. For any vectors vec(a),vec(b) and vec( c ). Out of the following, whic...

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  13. bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj. The vector bar( c ) is s...

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  14. In a quadrilateral ABCD, vec(AB)=vec(b),vec(AD)=vec(d) and vec(AC)=m v...

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  15. If vec(a)=2hati+hatj+x hatk and vec(b)=hati+hatj-hatk then the minimum...

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  16. If vec(a).hati=4 then (vec(a)xx hatj).(2hatj-3hatk)= ………..

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  17. vec(a),vec(b) and vec( c ) are unit vectors vec(a)xx(vec(b)xx vec( c )...

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  18. If vec(u)=hati xx(vec(a)xx hati)+hatj xx(vec(a)xx hatj)+hatk xx(vec(a)...

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  19. For the vectors vec(x) and vec(y),vec(x)+vec(y)=vec(a),vec(x)xx vec(y)...

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  20. Vector vec(a)=hati-hatj,vec(b)=hati+hatj+hatk. The vector vec( c ) is ...

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