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For the line (x-1)/1=(y-2)/2=(z-3)/3, wh...

For the line `(x-1)/1=(y-2)/2=(z-3)/3,` which one of the following is incorrect? a. it lies in the plane `x-2y+z=0` b. it is same as line `x/1=y/2=z/3` c. it passes through `(2,3,5)` d. it is parallel t the plane`x-2y+z-6=0`

A

It lie in the plane `x-2y+z=0`.

B

it is same as line `(x)/(1)=(y)/(2)=(z)/(3)`.

C

it passes through `(2, 3, 5)`.

D

It is parallel to the plane `x-2y+z-6=0`.

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  3. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is ...

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

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

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

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

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

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

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

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  14. The orthogonal projection A' of the point A with position vector (1, 2...

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  15. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  17. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

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  18. The shortest distance of a point (1, 2, -3) from a plane making interc...

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