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The distance of the point having positio...

The distance of the point having position vector `-hat(i) + 2hat(j) + 6hat(k)` from the straight line passing through the point `(2, 3, –4)` and parallel to the vector, `6hat(i) + 3hat(j) -4hat(k)` is:

A

`2sqrt13`

B

`4sqrt3`

C

`6`

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. A parallelopied is formed by planes drawn through the points (2, 4, 5)...

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  2. Equation of any plane containing the line (x-x1)/(a)=(y-y1)/(b)=(z-z1)...

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  3. The distance of the point having position vector -hat(i) + 2hat(j) + 6...

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  4. Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 ...

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  5. Let sqrt(3) hati + hatj , hati + sqrt(3)hatj and beta hati + (1- beta...

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  6. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  7. The length of the perpendicular drawn from the point (2,1,4) to the pl...

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  8. A plane which bisects the angle between the two given planes 2x - y +2...

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

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

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

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

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

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

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

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

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

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

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

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  20. about to only mathematics

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