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The shortest distance from the plane `12 x+y+3z=327`to the sphere `x^2+y^2+z^2+4x-2y-6z=155` is

A

26

B

`11(4)/(13)`

C

`13`

D

39

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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