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Equations of the line which passe throug...

Equations of the line which passe through the point with position vector `(2, 1, 0)` and perpendicular to the plane containing the vectors `i+j and j+k ` is

A

`r=(2, 1, 0)+t(1, -1, 1)`

B

`r=(2, 1, 0)+t(-1, 1, 1)`

C

`r=(2, 1, 0)+t(1, 1, -1)`

D

`r=(2, 1, 0)+t(1, 1, 1)`

Text Solution

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  4. Which of the following pairs of linear equations are consistent ? Obta...

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  5. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

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  6. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

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  7. Find the shortest distance between the lines whose equations are : vec...

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  8. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

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  9. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

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  10. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is ...

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  11. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

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  12. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  13. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

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  14. The line which contains all points (x, y, z) which are of the form (x,...

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  15. If the position vectors of the points A,B and C be hati+hatj,hati-hatj...

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  16. Find the equation of plane passing through the line of intersection o...

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  17. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

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  18. Find the distance of the point (-1, -5, -10) from the point of interse...

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  19. What is the Next Prime Number after 7 ?

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  20. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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