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If the line (x-3)/(2) = (y +2)/(-1) = (z...

If the line `(x-3)/(2) = (y +2)/(-1) = (z+4)/(3)` is in the plane lx + my-z = 9 then `l^2 + m^2`= .........

A

26

B

18

C

5

D

2

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The correct Answer is:
D
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If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y + z =7 then k =........

The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane 2x - y + z + 3 = 0 is the line ..............

The distance of the point (2,-1,-2) from the line (x-1)/(2) = (y+3)/(2) = (z-3)/(3) , measured parallel to the plane x+2y + z=4 is .........

The line (x+1)/(2) = (y+1)/(3) = (z+1)/(4) meets the plane x + 2y + 3z = 14 in ............. Point.

Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(4) and the plane 2x + 4y - z = 1. Also find the angle between them.

The sine of the angle between the straight line (x-2)/(3)=(y-3)/(4)=(z-4)/(5) and the plane 2x-2y+z=5 is …........

The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the plane 2x-y + z = 4 is......

The perpendicular distance from the point of intersection of the line (x+1)/(2)=(y+2)/(3)=(z)/(-1) and plane 2x-y+z=0 to the Z -axis is ......

Find the image of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 in the plane 3x-3y+10 z-26=0.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. If the foot of perpendicular from the origin to the plane is (a,b,0) t...

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  2. The distance of the point (1,-5,9) from the plane x-y + z = 5 measured...

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  3. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

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  4. If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...

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  5. If the foot of perpendicular from origin to the plane is (1,2,3) then ...

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  6. If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...

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  7. The direction of the line of intersection of the planes 2x + 3y + z-1 ...

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  8. The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...

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  9. The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k +...

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  10. The plane passes through the point (1,-1,-1) and its normal is perpend...

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  11. The plane ax + by + cz = 1 intersects the axes in A, B and C respetive...

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  12. The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...

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  13. The equation of the plane passing through the pionts (2,5,-3) and perp...

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  14. The equation of the plane passing through the pionts (0,-4,-6) and (-2...

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  15. The line joining the pionts (1,1,2) and (3,-2,1) meets the plane 3x + ...

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  16. The plane passing through (5,1,2) and perpendicular to the line 2(x-2)...

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  17. The intercepts on the axes cut off by the plane which is perpendicular...

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  18. The equation of the plane passing through the intersection of the plan...

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  19. If from the point (a,b,c) perpendiculars PL and PM be drawn to YOZ and...

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  20. The line (x+1)/(2) = (y+1)/(3) = (z+1)/(4) meets the plane x + 2y + 3z...

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