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Let the equations of a line and plane...

Let the equations of a line and plane be `(x+3)/2=(y-4)/3=(z+5)/2a n d4x-2y-z=1,` respectively, then a. the line is parallel to the plane b. the line is perpendicular to the plane c. the line lies in the plane d. none of these

A

the line is parallel to the plane

B

the line is parpendicular to the plane

C

the line lies in the plane

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a
Also, point (-3,4,-5) does not lie on the plane.
Therefore, the line is parallel ot the plane.
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CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise (Single)
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  2. The line (x-2)/3=(y+1)/2=(z-1)/1 intersects the curve x y=c^(I2),z=0 i...

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  3. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

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  4. The length of the perpendicular from the origin to the plane passing t...

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  5. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

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  6. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

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  7. A unit vector parallel to the intersection of the planes vecr.(hati-ha...

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  8. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(i+1 hat k) and...

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  9. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

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  10. Find the value of m for which thestraight line 3x-2y+z+3=0=4x=3y+4z+1 ...

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  11. The intercept made by the plane vec rdot vec n=q on the x-axis is ...

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  12. Equation of a line in the plane pi-=2x-y+z-4=0 which is perpendicul...

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  13. If the foot of the perpendicular from the origin to plane is P(a ,b...

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  14. The equation of the plane which passes through the point of interse...

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  15. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

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  16. Let A(1,1,1),B(23,5)a n dC(-1,0,2) be three points, then equation of a...

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  17. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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  18. The coordinates o the foot of the perpendicular drawn from the orig...

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  19. about to only mathematics

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  20. The length of projection of the line segment joining the points (1,...

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