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The cartesian equation of a straight li...

The cartesian equation of a straight line is `(x-3)/(4)=(y+2)/(5)=(z-4)/(3)`, its vector form will be -

A

`vecr=4hati+5hatj+3hatk+lambda(3hati-2hatj+4hatk)`

B

`vecr=-3hati+2hatj-4hatk+lambda(4hati+5hatj+3hatk)`

C

`vecr=3hati-2hatj+4hatk+lambda(4hati+5hatj+3hatk)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. The vector equation of the line passing through the point (3, -1, 2) a...

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  2. The angle between the pair of lines (x-2)/(1)=(y+3)/(-2)=(z-4)/(2) a...

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  3. The cartesian equation of a straight line is (x-3)/(4)=(y+2)/(5)=(z-...

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  4. Three vectors veca, vecb, vec c are such that |veca|=3, |vecb|=2, |ve...

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  5. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

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  6. The angle between the planes x-2y+2z=5 and 2x-3y+6z=11 is -

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  7. If |veca xx vecb|=3 and veca*vecb=4, then the value of |veca|^(2)|vec...

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  8. If the equation of a straight line is 6x-2=3y+1=2z-2, then direction c...

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  9. If y= sin (( pi)/(6)e^(xy)), then the value of (dy)/(dx) at x=0 is -

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  10. In the mean value theorem f(a+h)=f(a)+hf'(a+theta h) ( 0 lt theta lt 1...

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  11. If y=log("tan"(x)/(2))+sin^(-1)(cosx), then the value of (dy)/(dx) is...

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  12. Let f(x)=4x^(3)+x^(2)-4x-1. The equation f(x)=0 has roots 1 and (-(1)/...

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  13. At x=0 the function f(x)=x^3+1 has -

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  14. If y=(1)/(1+x+x^(2)+x^(3)), then the value of (d^(2)y)/(dx^(2)) at x=...

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  15. If y=sinx log("tan"(x)/(2)) then the value of (d^(2)y)/(dx^(2))+y is -

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  16. If t is a parameter and x=t^(2)+2t, y=t^(3)-3t, then the value of (d...

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  17. (d)/(dx)[sin^(2)cot^(-1)( sqrt((1-x)/(1+x)))] is equal to -

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  18. If x=sin^(-1)(3t-4t^3) and y=cos^(-1) sqrt(1-t^2) then (dy)/(dx)=

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  19. The derivative of sin^(2)x w.r.t. cos^(2)x is -

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  20. If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)), then (dy)/(dx...

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