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Find the equation of the plane containin...

Find the equation of the plane containing the line : `(x+1)/1=(y-2)/2=(z-3)/3` and perpendicular to the plane 3 x - 2 y - z = 4.

A

`(A)/(a)=(B)/(b)=(C)/(c)` is true for the line to be perpendicular to the plane.

B

`A(a+3)+B(b-1)+C(c-2)=0`

C

`2aA+3bB+4cC=0`

D

`Aa+Bb+Cc=0`

Text Solution

Verified by Experts

The correct Answer is:
(a, d)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (More Than One Correct Option Type Questions)
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  2. A variable plane is at a distance, k from the origin and meets the coo...

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  3. Find the equation of the plane containing the line : (x+1)/1=(y-2)/2=(...

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  4. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve x^2+y^2=r...

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  5. A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(...

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  6. Find the equations of the line through the point ( 1 , -2, -3) and par...

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  7. A plane passes through a fixed point (a, b, c) and direction ratios of...

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  8. Let A be vector parallel to line of intersection of planes P1 and P2. ...

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  9. Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0,

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  10. Find the direction ratios of this plane 2x-3y+4z+2=0

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  11. A line segment has length 63 and direction ratios are 3,-2 and 6. The ...

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  12. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  13. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  14. The lines x=y=z meets the plane x+y+z=1 at the point P and the sphere ...

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  15. Evaluate int 4x^5 dx

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  16. Consider the planes 2x+y+z+4=0, and y-z+4=0 Find the angle between the...

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  17. The volume of a right triangular prism ABCA(1)B(1)C(1) is equal to 3 c...

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  18. Find the multiplication of 34×0

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  19. Let OABC be a regular tetrahedron with side length unity, then its vol...

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  20. The OABC is a tetrahedron such that OA^2+BC^2=OB^2+CA^2=OC^2+AB^2,then

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