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Find the cartesian equation of the line which passes through the point (– 2, 4, – 5) and parallel to the line given by `(x+3)/3 = (y-4)/5 = (z+8)/6`

A

`(x+2)/3=(y-4)/5=(z+5)/6`

B

`(x-2)/3=(y+4)/5=(z-5)/6`

C

`(x-2)/3=(y+4)/5=(y+5)/6`

D

none of these

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The direction cosines of the line joining the points (-2,1,-8) and (4,...

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  2. The equation of line passing through the point: (2,-1,4) and in the di...

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  3. Find the cartesian equation of the line which passes through the point...

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  4. Find the angle between the following pair of lines : vecr=hati+hatj-ha...

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  5. The direction ratios of a line normal to the plane x+2y-3z+4=0 are

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  6. Find the equation of the plane with interceots 2, 3 and 4 on the x, y ...

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  7. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

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  8. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  9. The point which lies in the plane given by the equations 2x+y-3z=10 is...

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  10. The angle between two planes : 3x-6y+2z=7 and 2x+2y-2z=5 is :

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  11. Direction cosines of the normal to the plane: 2x-3y+4z-6=0 are :

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  12. If a vector makes angles alpha, beta, gamma with x, y and z axes respe...

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  13. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

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  14. The direction cosines of the line joining the points (-2, 4, -5) and (...

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  15. Distance between plane defined by 3x + 4y + 5 = 0 and the point (5, 0,...

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  16. Vector equation of the line (x+1)/(2)=(y-4)/(4)=(z+6)/(3)

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  17. The value of lambda for which the plane vecr*(2hati-2hatj+4hatk)=5 is ...

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  18. Direction casines of z-axis are

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  19. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  20. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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