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The locus of a point equidistant from tw...

The locus of a point equidistant from two points with position vectors `veca` and `vecb` is

A

`(r-(a+b))*b=0`

B

`(r-1/2(a+b))*a=0`

C

`(r-1/2(a+b))*(a-b)=0`

D

`(r-1/2(a+b))*(a+b)=0`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-2 Single Correct Answer Type Questions)
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  2. If a=a(1)i+a(2)j+a(3)k, b=b(1)i+b(2)j+b(3)k, c=c(1)i+c(2)j+c(3)k, d=d(...

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  3. The value of (b times c)*(a times d)+(c times a)*(b times d)+(a times ...

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  4. The lines r=b-2c+lambda(a+b)" and "r=2b-c+mu(b+c) intersect at the poi...

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  5. If a=i+2j-3k, b=2i+j-k then the vector v satisfying a times v=a times ...

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  6. The value of abs(a times(i timesj))^(2)+abs(a times(j timesk))^(2)+a...

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  7. The locus of a point equidistant from two points with position vectors...

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  8. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

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  9. If a times b=c" and "b times c=a, then

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  10. Let OABC be a regular tetrahedron, then angle between edges OA and BC ...

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  11. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

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  12. The vector vec a has the components 2p and 1 w.r.t. a rectangular ...

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  13. a*((b times c) times (a+(b times c)) is equal to

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  14. If overset(to)(X) "." overset(to)(A) =0, overset(to)(X) "." overset(...

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  15. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

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  16. The unit vector in XOZ plane and making angles 45^@ and 60^@ respectiv...

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  17. If vector vec a+ vec b bisects the angle between vec a and vec b , ...

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

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  19. A B C D is quadrilateral such that vec A B= vec b , vec A D= vec d , ...

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  20. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

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