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The value of k such that the line (x-4)/...

The value of k such that the line `(x-4)/1=(y-2)/1=(z-k)/2` lies on the plane 2x - 4y + z = 7 is

A

7

B

minus 7

C

no real value

D

4

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The correct Answer is:
A
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. The distance of the point A(2,3,4) from x-axis is

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  3. The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the ...

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  4. A variable plane at a distance of 1 unit from the origin cuts the coor...

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  5. A plane passes through (1, - 2, 1) and is perpendicular to the planes ...

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  6. The point (alpha, beta, gamma) lies on the plane x+y+z = 2. Let, vec a...

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  7. Let vec A be a vector parallel to the line of intersection of planes P...

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  8. Consider the lines L(1) = (x+1)/3 = (y+2)/1 = (z+1)/2, L(2) = (x-2)/1 ...

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  9. The shortest distance between the lines L(1) : (x+1)/3 = (y+2)/1 =(z+1...

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  10. The equation of the line passing through the point (3,2) and perpendic...

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  11. Let (P (3,2,6) be a point in space and Q be point on the line vecr = (...

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  12. If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = ...

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  13. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  14. If the distance between the plane Ax+2y+z=d and the plane containing t...

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  15. A line from the origin meets the lines (x-2)/1 = (y-1)/(-2) = (z+1)/1 ...

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  16. The direction ratios of a normal to the plane thro' (1,0,0), (0, 1, 0)...

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  17. The plane, which passes through the point (3, 2, 0) and the line (x-3)...

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  18. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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  19. Two system of rectangular axes have the same origin. If a plane cuts t...

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  20. A line with direction cosines proportional to 2,1,2 meets each of the ...

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