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Distance of the point of intersection of the line `(x-2)/3=(y+1)/4=(z-2)/12` and the plane `x-y+z = 5 ` from the point `(-1,-5,-10)` is

A

0

B

3

C

31

D

13

Text Solution

Verified by Experts

The correct Answer is:
D
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MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
  1. Distance of the points of intersection of the line (x-3)/(1)=(y-4)/(2)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Show that the lines (x5)/4,(y-7)/4=(z+3)/(-5) and )x-8)/7=(y-4)/1=(z-5...

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  17. Lines (x+1)/(-3) = (y-3)/2 = z+2 and x= (x-7)/(-3) = (z+7)/2 lie in ...

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  18. Lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 lie ...

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  19. A plane II makes intercept 3 and 4 respectively on x and z axes. If II...

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  20. A vector vecr is equally inclined with the coordinates axes. If the ti...

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