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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

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the direction cosines of the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3),

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  2. The value of m for which straight lein 3x-2y+z+3=0=4 x-3y+4z+1 is pa...

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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 form the origin to the plane passin...

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  5. In a three-dimensional xyz space, the equation x^(2)-5x+6=0 represents

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  6. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 i...

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  7. A unit vector parallel to the intersection of the planes vec r. \ (...

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

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

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

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  11. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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  12. Column I, Column II The coordinates of a point on the line x=4y+...

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  13. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

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  14. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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  15. Find the equation of a line which passes through the point (2,3,4) ...

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  16. Statement 1: There exist two points on the (x-1)/1=y/(-1)=(z+2)/2 w...

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  17. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

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  18. Find the number of sphere of radius r touching the coordinate axes...

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  19. Find the distance of the z-axis from the image of the point M(2-3,3...

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  20. A line with direction cosines proportional to 1,-5, a n d-2 meets li...

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