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The distance of the point (1, 3, -7) fro...

The distance of the point `(1, 3, -7)` from the plane passing through the point `(1, -1, -1)` having normal perpendicular to both the lines `(x-1)/(1)=(y+2)/(-2)=(z-4)/(3) and (x-2)/(2)=(y+1)/(-1)=(z+7)/(-1)` is

A

`10/sqrt(74)`

B

`20/sqrt74`

C

`10/sqrt83`

D

`5/sqrt(83)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -2 : Concept Applicator
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  8. Find the equation of a line which passes through the point (1,1,1) ...

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  9. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

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  10. The equation of the line intersection of the planes 4x+4y-5z=12 and 8x...

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  11. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

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  12. The line which contains all points (x, y, z) which are of the form (x,...

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  13. Show that the points A(1,2,3), B(-1,-2,-1), C(2,3,2), D(4,7,6) are the...

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  14. The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

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  15. The line which passes through the origin and intersect the two lines (...

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  16. The angle between the lines (x+1)/2 = (y+3)/2 = (z-4)/-1 and (x-4)/1 =...

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  17. The distance between the line given by vecr= hati+hatj + lamda(hati-2...

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  18. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  19. The coordinates o the foot of the perpendicular drawn from the orig...

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  20. If A,B,C are point (1,0,4) , (0,-1,5) and (2,-3,1) respectively , then...

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  21. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

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