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In a right angled triangle ABC, hypotenu...

In a right angled triangle ABC, hypotenuse `AB=P` then `bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB)` = ………

A

`2P^(2)`

B

`(P^(2))/(2)`

C

`P^(2)`

D

None of these

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=3,|bar(b)|=5,|bar( c )|=...

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  2. A(1, -2, 4), B(5, -1, 7), C(3, 6, -2) and D(4, 5, -1) are given vector...

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  3. In a right angled triangle ABC, hypotenuse AB=P then bar(AB).bar(AC)+b...

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  4. squareABCDEF is a regular hexagone with each side a. bar(AB).bar(AF)+(...

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  5. For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )|...

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  6. A unit vector is coplanner with bar(i)+bar(j)+2bar(k) and bar(i)+2bar(...

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  7. The angle between the unit vectors bar(a) and bar(b) is theta. If bar(...

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  8. For unit vectors bar(a) and bar(b), if bar(a)+2bar(b) and 5bar(a)-4bar...

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  9. bar(a)=2bar(i)-3bar(j)+6bar(k) and bar(b)=-2bar(i)+2bar(j)-bar(k) then...

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  10. bar(b)=3hatj+4hatk,bar(a)=hati+hatj. If bar(b(1)) and bar(b(2)) are co...

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  11. The unit vector bar(a) and bar(b) are perpendicualr to each other. The...

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  12. Vector bar(a)=6hati-3hatj,bar(b)=2hati-6hatj and bar( c )=-2hati+21hat...

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  13. bar(a),bar(b) and bar( c ) are unit vectors. The value of |bar(a)-bar(...

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  14. If bar(a),bar(b) and bar( c ) are perpendicualr to bar(b)+bar( c ),bar...

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  15. bar(a) and bar(b) are unit vectors. |bar(a)+bar(b)|=sqrt(3) then the v...

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  16. DeltaABC is an equilateral triangle. Its side is l. Any point P lies o...

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  17. vec(a)=2hati+hatj+hatk and vec(b)=hati-hatj-hatk are the adjacent side...

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  18. The position vectors of four points A, B, C and D in the plane are vec...

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  19. If vec(alpha)=(1)/(a)hati+(4)/(b)hatj+b hatk and vec(beta)=b hati+a ha...

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  20. The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a...

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