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An agle between the plane, x + y+ z =5 a...

An agle between the plane, `x + y+ z =5` andthe line of intersection of the planes,`3x + 4y + z -1=0 and 5x +8y + 2z+ 14=0,` is :

A

`sin^(-1)(sqrt((3)/(17)))`

B

`cos^(-1)(sqrt((3)/(17)))`

C

`cos^(-1)((3)/(sqrt17))`

D

`sin^(-1)((3)/(sqrt17))`

Text Solution

Verified by Experts

The correct Answer is:
A
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. A variable plane passes through a fixed point(3,2,1) and meets and ...

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  4. The sum of the intercepts on the coordinate axes of the plane passing ...

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  8. If lines x=ay+b, z= cy +d " and " x=a' z+b y+c' z+ d' are perpen...

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  9. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

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  11. The plane which bisects the line segment joining the points (-3, -3, 4...

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  12. If the point (2 , alpha , beta) lies on the plane which passes throug...

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  13. If the plane containing the line (x-3)/2 = (y+2)/(-1) = (z-1)/3 and al...

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  14. The driection ratios of normal to the plane through the points (0, -1,...

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  15. The plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4...

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  17. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  18. The equation of the line passing through (-4, 3, 1), parallel to the p...

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  19. The perpendicular distance from the origin to the plane containing the...

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  20. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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