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The equation of the plane containing the...

The equation of the plane containing the line `(x-alpha)/l=(y-beta)/m=(z-gamma)/n` is
`A(x-alpha)+B(y-beta)+C(z-gamma)=0` where

A

`Aalpha+Bbeta+Cgamma=0`

B

`Al+Bm+Cn=0`

C

`A/l=B/m=C/n`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. Equation of the line passing through the point (1,2,3) and parellel to...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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