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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

`(20)/(sqrt(74))` units

B

`(10)/(sqrt(83))` units

C

`(5)/(sqrt(83))` units

D

`(10)/(sqrt(74))` units

Text Solution

Verified by Experts

The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. find the angle between...

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  2. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  3. The distance of the point (1, 3, -7) from the plane passing through th...

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

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  5. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  6. The disatance of the point (1, 0, 2) from the point of intersection of...

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  7. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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  8. The angle between the lines whose direction cosines satisfy the equa...

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  9. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  10. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  11. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  12. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

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  13. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  14. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  15. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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  16. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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

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  18. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  19. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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  20. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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