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Consider a plane x+y-z=1 and point A(1, ...

Consider a plane `x+y-z=1` and point `A(1, 2, -3)`. A line L has the equation `x=1 + 3r, y =2 -r and z=3+4r`.
The coordinate of a point B of line L such that AB is parallel to the plane is

A

`(10, -1, 15)`

B

`(-5, 4, -5)`

C

`(4, 1, 7)`

D

`(-8, 5, -9)`

Text Solution

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The correct Answer is:
(d)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
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  2. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

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  3. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

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  4. Find the image of point (1, 2,-1) in the plane 2x +y-z=10.

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  5. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  6. Consider a triangular pyramid ABCD the position vectors of whose angul...

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  7. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  8. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  9. A line L1 passes through the point 3i and parallel to the vector − i +...

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

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

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

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

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

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

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

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

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

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

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

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