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Equations of the line through (4,-5,6) a...

Equations of the line through `(4,-5,6)` and perpendicular to the lines `(x-11)/1=(y+6)/(-3) = (z-5)/0 `and `(x-1)/5 = (y-2)/2=(z-8)/11` are

A

`(x-1)/3 = (y-2)/2 = (z-8)/11 `

B

`(x-4)/(-33) = (y+5)/(-11)=(z-6)/17`

C

`(x-4)/3 = (y+5)/1 = (y-6)/(-17)`

D

`3(x-4)-3 (y+5)+11(z-6)=0`

Text Solution

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The correct Answer is:
B
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MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
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  2. Equations of the line passing through (-1,2,-3) and parallel to the li...

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  3. Equations of the line through (4,-5,6) and perpendicular to the lines ...

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  4. Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in th...

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  5. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

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  6. Distance of the points of intersection of the line (x-3)/(1)=(y-4)/(2)...

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  7. Distance from the point (-3,2,5) to the point where the line (x+3)/2= ...

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  8. Distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2...

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  9. Distance of the point (1,-2,3) from the plane x-y+z = 5 measured paral...

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  10. Co - ordinates of the foot of the perpendicular drawn from the origin ...

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  11. The line (x-2)/3 = (y-3)/4 = (z-4)/5 is parallel to the plane

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

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  13. Equation of the plane containing the line L(1) : (x-1)/3 = (y+6)/...

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  14. Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y –...

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  15. Equation of the plane E which contains the line L : x = (y-3)/2 = (z-5...

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  16. Find the equation of the plane which contains two parallel to lines (x...

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  17. Find ten equation of the plane passing through the point (0,7,-7) and ...

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  18. Foot of the perpendicular drawn from the origin to the line x-2 = (y+3...

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  19. Foot of the perpendicular drawn from the point (3,-1,11) to the x/2 = ...

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  20. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

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