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A plane cuts off intercepts 3,-4,6 on th...

A plane cuts off intercepts `3,-4,6` on the coordinate axes. The length of perpendicular from the origin to this plane is

A

`5/sqrt(29)` units

B

`8/sqrt(29)` units

C

`6/sqrt(29)` units

D

`12/sqrt(29)` units

Text Solution

Verified by Experts

The correct Answer is:
d
The given plane is `x/3+y/-4+z/6=1 rArr 4x-3y+2z=12`
`therefore p=(|4 xx 0-3 xx0+2 xx 0-12|)/sqrt(4^(2)+(-3)^(2)+2^(2))=12/sqrt(29)` units.
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RS AGGARWAL-THE PLANE-Objective Questions
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  2. The equation of a plane passing through the point A(2,-3,7) and making...

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  3. A plane cuts off intercepts 3,-4,6 on the coordinate axes. The length ...

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  4. If the line (x+1)/3=(y-2)/4=(z+6)/5 is parallel to the planes 2x-3y+kz...

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  5. यदि O मूल बिंदु तथा P के निर्देशांक (1 ,2 ,-3 ) है तो बिंदु P से जा...

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

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  7. The plane 2x+3y+4z=12 meets the coordinate axes in A,B and C. The cent...

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  8. If a plane meets the coordinate axes in A,B and C such that the centro...

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  9. The equation of a plane through the point A(1,0,-1) and perpendicular ...

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  10. The line (x-1)/2=(y-2)/3=(z-3)/4 meets the plane 2x+3y-z=14 in the poi...

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  11. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

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  12. Find the equation of the plane through the intersection of the planes ...

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  13. The equation of the plane passing through the points A(0,-1,0), B(2,1,...

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  14. If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2=(z+1)/a...

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  15. The angle between the line (x+1)/1=y/2=(z-1)/1 and a normal to the pla...

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

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  17. The equation of a plane passing throgh the points A(a,0,0), B(0,b,0) a...

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  18. If theta is the angle between the planes 2x-y+2z=3 and 6x-2y+3z=5, the...

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  19. The angle between the planes 2x-y+z=6 and x+y+2z=7, is

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  20. The angles between the planes vecr.(3hati-6hatj+2hatk)=4 and vecr.(2ha...

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