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A line L1 passing through a point with ...

A line `L_1` passing through a point with position vector `p=i+2h+3k` and parallel `a=i+2j+3k`, Another line `L_2` passing through a point with direction vector to `b=3i+j+2k`. Q. The minimum distance of origin from the plane passing through the point with position vector p and perpendicular to the line `L_2`, is

A

(a)`sqrt(14)`

B

(b)`(7)/(sqrt(14))`

C

(c)`(11)/(sqrt(14))`

D

(d)None of these

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. A line L1 passes through the point 3i and parallel to the vector − i +...

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  2. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  3. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  4. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  5. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  6. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  7. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  8. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

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  9. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

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  10. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

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  11. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

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  12. Expand |(3, 6), (5,0)|

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  13. If b be the foot of perpendicular from A to the plane rcdothat(n)=d, t...

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  14. What is vector equation of the line

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  15. A circle is the locus of a point in a plane such that its distance fro...

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  16. A circle is the locus of a point in a plane such that its distance fro...

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  17. A circle is the locus of a point in a plane such that its distance fro...

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  18. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

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  19. let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find project...

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  20. Assuming the plane 4x-3y+7z=0 to be horizontal, the direction cosines ...

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