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If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-...

If the line `(x-2)/(3)=(y+1)/(2)=(z-1)/(-1)` intersects the plane `2x+3y-z+13=0` at a point P and plane `3x+y+4z=16` at a point Q then PQ is equal to (A) `14` (B) `sqrt(14)` (C) `2sqrt(7)` (D) `2sqrt(14)`

A

`14`

B

`sqrt14`

C

`2sqrt7`

D

`2sqrt14`

Text Solution

Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
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  2. A plane which bisects the angle between the two given planes 2x - y +2...

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  3. If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...

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  4. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

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  5. If the plane 2x-y+2z+3=0 has the distances (1)/(3) and (2)/(3) units f...

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  6. If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...

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  7. let P be the plane, which contains the line of intersection of the pla...

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  8. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

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  9. If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...

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  10. Find the vector equation of the plane through the line of intersection...

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  11. The length of the perpendicular from the point (2, -1, 4) on the strai...

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  12. The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...

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  13. The equation of a plane containing the line of intersection of the pla...

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  14. about to only mathematics

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  15. A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...

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  16. The perpendicular distance from the origin to the plane containing the...

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  17. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

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  18. If the point (2 , alpha , beta) lies on the plane which passes throug...

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  19. The plane containing the line (x-3)/2=(y+2)/(-1) =(z-1)/3 and also ...

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