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Find the vector equation of the plane th...

Find the vector equation of the plane through the points (2,1,-1) and (-1,3,4) and perpendicular to the plane `x-2y+4z=10`.

A

`18x+17y+4z=49`

B

`18x-17y+4z=49`

C

`18x+17y-4z+49=0`

D

None of these

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The correct Answer is:
A
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. Find the vector equation of the plane through the points (2,1,-1) and ...

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  2. The direction ratios of a normal to the plane through (1,0,0)a n d(...

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  3. The two points(1,1,1) and (-3,0,1) with respect to the plane 3x+4y-12z...

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  4. The equation of the plane passing through (2,3,-4) and (1,-1,3) and pa...

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  5. Equation of the line passing through the point (1,2,3) and parellel to...

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  6. The equation of the plane through the line of intersection of planes a...

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  7. The equation of the plane containing the line (x-alpha)/l=(y-beta)/m=(...

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  8. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

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

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

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

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

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

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

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

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

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

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

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

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