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The distance of the point (1,-2,3) from ...

The distance of the point `(1,-2,3)` from the plane `x-y+z=5` measured parallel to the line `x/2=y/3=z/-6`, is

A

7

B

1

C

3

D

13

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
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  2. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

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  3. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

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  4. The coordinates of the point in which the line joining the points (2,...

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  5. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

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  6. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(...

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  7. A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...

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  8. The lines (x-2)/1=(y-3)/2=(z-4)/(-2k)and (x-1)/k=(y-2)/3=(z-6)/1 are...

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  9. If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are p...

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  10. Find value of lambda if two lines having direction ratios 1, -2, 3 and...

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  11. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  12. Find the equation of a plane containing the line of intersection of...

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  13. The plane passing through the point (-2, -2, -3) and containing the ...

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  14. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

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  15. If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...

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  16. Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...

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  17. The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and ...

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  18. Prove that the acute angle between two diagonals of a cube is cos^-1(1...

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  19. The distance of a plane 3x + 4y - 5z = 60 from origin

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  20. The equation of line through the point (2, -1, 3) and which is equall...

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