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What is the equation of the plane which passes through the z-axis and is perpendicular to the line `(x-a)/(costheta)=(y+2)/(sintheta)=(z-3)/0?`a. `x+yt a ntheta=0` b. `y+x t a ntheta=0` c. `xcostheta-ysintheta=0`d. `xsintheta-ycostheta=0`

A

`x tan theta + sec theta =0`

B

`x sec theta + y tan theta = 0`

C

` cos theta + y sin theta =0`

D

`x sin theta -y cos theta =0`

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
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  7. The equation of the plane passing through the intersection of the plan...

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  8. The equation of the line passing though the point (1,1,-1) and perpend...

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  9. The equation of the plane through (2,3,4) and parallel to the plane x+...

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  10. perpendicular distance of the origin from the plane which makes interc...

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  11. The shortest distance between the lines (x-3)/(2) = (y +15)/(-7) = (z...

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  14. Let two planes p (1): 2x -y + z =2 and p (2) : x + 2y - z=3 are given ...

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  15. Let two planes p (1): 2x -y + z =2 and p (2) : x + 2y - z=3 are given ...

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  16. Find the shortest distance between the lines (x-23)/(-6) = (y-19)/(-4)...

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  17. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

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  18. Let L1 and L2 be two lines such that L(2) : (x+1)/-3=(y-3)/2=(z+2)/1...

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