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A unit tengent vector at t = 2 on the cu...

A unit tengent vector at t = 2 on the curve `x=t^(2)+2, y=4t^(3)-5,z=2t^(2)-6t` is

A

`+-(1)/(sqrt(3))(i+bar(j)+bar(k))`

B

`+-(1)/(2804)(2i+bar(j)-bar(k))`

C

`+-(1)/(sqrt(580))(2i+24bar(j)+bar(k))`

D

`+-(1)/(sqrt(581))(2i+24bar(j)+bar(k))`

Text Solution

Verified by Experts

The correct Answer is:
D
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FIITJEE-MATHEMATICS TIPS-ASSIGNMENT -OBJECTIVE
  1. The quadratic x^2+a x=b+1=0 has roots which are positive integers, the...

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  2. If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(...

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  3. The distance of point of intersection of lines (x-4)/1=(x+3)/-4=(z-1)...

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  4. Let A, B, C be points with position vectors r(1)=2hati-hatj+hatk, r(2)...

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  5. The real numbers x, y satisfy x^(3)-3x^(2)+5x-17=0 and y^(3)-3y^(2)+5y...

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  6. x, y, z in R such that x^(2)+y^(2)+z^(2)=1 and alpha=x^(2)+2y^(2)+3z^(...

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  7. Let A, B, C be three events such that P (exactly one of A or (B) = P (...

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  8. If px^(4)+qx^(3)+rx^(2)+sx+t=|{:(x^(2)+3x,x-1,x+3),(x^(2)+1,2-x,x-3),(...

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  9. In a 4xx4 matrix the sum of each row, column and both the main diagona...

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  10. A unit tengent vector at t = 2 on the curve x=t^(2)+2, y=4t^(3)-5,z=2t...

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  11. If p is a prime and both roots of x^(2)-px-444p=0 are integers, then p...

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  12. If 12 divides the seven digit number ab313ab, then the smallest value ...

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  13. If z is a complex number lying in the fourth quadrant of Argand plane ...

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  14. If vec b is a vector whose initial point divides thejoin of 5 hat ...

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  15. Position vector hat k is rotated about the origin by angle 135^0 i...

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  16. If vec a , vec b ,a n d vec c are there mutually perpendicular uni...

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  17. If T( r )=( r )/(r^(4)+4) and S(n)=underset(r=1)overset(n)sum t( r ). ...

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  18. One of the roots of the equation 2000x^6 + 100x^5 + 10x^3 + x-2 =0 is ...

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  19. If omega is the 2014^("th") root of unity and z(1) and z(2) be any two...

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  20. If Delta(x)=|((e^x,sin2x,tanx^2)),((In(1+x),cosx,sinx)),((cosx^2,e^x-1...

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