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The shortest distance between the lines `(x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4` is a. `sqrt(30)` b. `2sqrt(30)` c. `5sqrt(30)` d. `3sqrt(30)`

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

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If 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 lambdasqrt(30) unit, then the value of lambda is

Shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(1) and (x-2)/(1)=(y-3)/(1)=(z-4)/(1) is equal to a.sqrt(14) b.sqrt(7)c.sqrt(2)d .none of these

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The angle between the straight lines (x+1)/2=(y-2)/5=(z+3)/4a n d(x-1)/1=(y+2)/2=(z-3)/(-3) is 45^0 b. 30^0 c. 60^0 d. 90^0

The angle between the lines (x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3)-1)=(y-1)/(sqrt(3)-1)=(z-1)/4 is cos^(-1)(1/(65)) b. pi/6 c. pi/3 d. pi/4

If the shortest distance between the lines (x-1)/(alpha)=(y+1)/(-1)=(z)/(1) and x+y+z+1=0=2x-y+z+3 is (1)/(sqrt(3)) then value of alpha

(30)/(5sqrt(3)-3sqrt(5))

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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Integer Answer Type Questions)
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  2. If the perpendicular distance of the point (6 5, 8) from the Y-axis is...

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  3. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

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  4. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

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  5. If xz-plane divide the join of point (2, 3, 4) and (1, -1, 5) in the r...

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  6. If the triangle ABC whose vertices are A(-1, 1, 1), B(1, -1, 1) and C(...

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  7. The equation of a plane which bisects the line joining (1, 5, 7) and (...

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  8. The shortest distance between origin and a point on the space curve ...

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  9. The plane 2x-2y+z+12=0 touches the surface x^2+y^2+z^2-2x-4y+2z-3=0 on...

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  10. If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(...

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  11. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

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  12. If overline(P1P2) is perpendicular to overline(P2P3), then the value o...

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  13. Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and...

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  14. Let P(a, b, c) be any on the plane 3x+2y+z=7, then find the least valu...

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  15. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

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  16. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

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  17. The position vectors of the four angular points of a tetrahedron OABC ...

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  18. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

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  19. If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least...

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  20. If the line x=y=z intersect the line xsinA+ysinB+zsinC-2d^(2)=0=xsin(2...

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