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If the shortest distance between the lin...

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

A

a. `sqrt(30)`

B

b. `2sqrt(30)`

C

c. `5sqrt(30)`

D

d. `3sqrt(30)`

Text Solution

Verified by Experts

The correct Answer is:
`(3)`
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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. If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/...

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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. Show that the plane2x-2y+a+12=0 touches the sphere x^(2)+y^(2)+z^(2)-2...

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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 lines xsinA+ysinB+zsinC-2d^(2)=0, xsi...

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