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Distance of the point of intersection of...

Distance of the point of intersection of the line `(x-2)/3=(y+1)/4=(z-2)/12` and the plane `x-y+z = 5 ` from the point `(-1,-5,-10)` is

A

13

B

9

C

5

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

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  2. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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

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  4. The direction cosines of a line equally inclines to three mutually per...

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  5. The equation of a plane through the line of intersection of planes 2x+...

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  6. Two system of rectangular axes have the same origin. If a plane cuts t...

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  7. Distance of the point (1,-2,3) from the plane x-y+z = 5 measured paral...

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  8. The foot of perpendicular drawn from the point (1,3,4) to the plane 2x...

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  9. The image of the point (-1, 3, 4) in the plane x-2y=0 is

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  10. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

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  11. The coordinates of the foot of the perpendicular drawn from the point ...

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  12. If a x+b y+c z=p , then minimum value of x^2+y^2+z^2 is (p/(a+b+c))^2 ...

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  13. The image of the point A (1,0,0) in the line (x - 1)/(2) = (x + 1)/(-3...

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  14. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  15. P is a fixed point (a,a,a) on a line through the origin equally inclin...

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  16. The length of the perpendicular from P(1,6,3) to the line x/1=(y-1)/(2...

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  17. The equation of line which passes through the intersection of the plan...

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  18. If(q+r)x+(r+p)y+(p+q)z=k and(q-r)x+(r-p)y+(p-q)z=k represent the e...

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  19. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

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  20. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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