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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-y+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)
  1. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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  2. Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in ...

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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. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

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  5. The length of projection of the line segment joining the points (1,0,-...

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  6. The number of planes that are equidistant from four non-coplanar point...

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  7. In a three-dimensional coordinate system, P ,Q ,and R are images of ...

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  8. A plane passing through (1,1,1) cuts positive direction of coordinates...

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

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  10. The equation of the plane through the intersection of the planes x+y+z...

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  11. Two system of rectangular axes have the same origin. If a plane cuts t...

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  12. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

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  13. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

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  14. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

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  15. Find the shortest distance between the lines given by the equations ve...

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  16. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

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  17. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

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  18. Find the equation of the plane with intercept 3 on the y-axis and para...

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  19. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

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  20. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

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