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Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and...

Lines `(x-2)/(1)=(y-3)/(1)=(z-4)/(-K)` and `(x-1)/(K)=(y-4)/(2)=(z-5)/(1)` are coplanar if

A

exactly one value

B

exactly two values

C

exactly three values

D

any value.

Text Solution

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The correct Answer is:
B
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The lines : (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k =(y-4)/2 =(z-5)/1 are co-planar if :

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-3) are perpendicular, find the value of k.

Find the angle between the pair of lines (x+3)/(3)=(y-1)/(5)=(z+3)/(4) and (x+1)/(1)=(y-4)/(1)=(z-5)/(2)

The directio ratios of the line which is perpendicular to the lines (x-7)/(2)=(y+17)/(-3)=(z-6)/(1) and (x+5)/(1)=(y+3)/(2)=(z-4)/(-2) are

The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is

Find the angle between the pair of lines (x+3)/(3) =(y-1)/(5) =(z+3)/(4) and (x+1)/(1) = (y-4)/(1) = (z-5)/(2)

Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=(z+3)/(-3) " and " (x+2)/(-1)=(y-4)/8=(z-5)/4 .

The point of intersection of the lines (x + 1)/(3) = (y + 3)/(5) = (z + 5)/(7) and (x - 2)/(1)= (y - 4)/(3) = (z - 6)/(5) is

The angle between two lines (x+1)/2 =(y+3)/2 =(z-4)/(-1) and (x-4)/1 =(y+4)/2 =(z+1)/2 is :

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-AIEEE/JEE Examination
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  3. If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = ...

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  4. If the angle between the line x =(y-1)/2=(z-3)/lambda and the plane x+...

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  5. The length of the perpendicular drawn from the point (3,-1,11) to the...

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

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  7. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

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  8. An equation of a plane parallel to the plane x - 2y + 2z -5 = 0 and at...

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  9. The equation of a plane passing through the line of intersection of th...

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  10. The point P is the intersection of the straight line joining the point...

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  11. Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and (x-1)/(K)=(y-4)/(2)=(z-5)/(1)...

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  12. Distance between two parallel planes: 2x + y + 2z = 8 and 4x + 2y + 4z...

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

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  14. The angle between the lines whose direction cosines satisfy the equati...

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  15. The distance of the point (1, 0, 2) from the point of intersection of ...

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  16. The equation of the plane containing the line: 2x - 5y + z = 3, x + ...

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