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Find the vector equation of line passing through the point `(1,2,-4)` and perpendicular to the two lines: `(x-8)/3=(y+19)/(-16)=(z-10)/7a n d(x-15)/3=(y-29)/8=(z-5)/(-5)`

A

`(x-2)/22 = (y+1)/10 =(z-0)/14`

B

`(x-2)/(-22) = (y-1)/(-10) =(z-0)/(-14)`

C

`(x+2)/22 = (y+1)/10 =(z-0)/14`

D

`(x-2)/(-22) = (y+1)/(-10) =(z-0)/(-14)`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
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  2. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  3. Length of the perpendicular from origin to the plane passing through...

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  4. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

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  5. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

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  6. The position vectors of points A and B are hati - hatj + 3hatk and 3h...

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  7. The vector equation of the plane through the point (2, 1, -1) and pass...

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  8. Find the vector equation of line passing through the point (1,2,-4)...

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  9. The line x + 2y - z - 3 = 0 = x + 3y - 2 - 4 is parallel to

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  10. The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + ...

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  13. The plane vecr cdot vecn = q will contain the line vecr = veca + lambd...

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  15. Find the length of the perpendicular from the point (1,2,3) to the ...

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  16. A variable plane which remains at q constant distance 3p from the orig...

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  17. The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y-5z + 4 = 0

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  18. Let vecn be a unit vector perpendicular to the plane containing the ...

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  19. The coordinates of the point P on the line vecr=(hati+hatj+hatk)+lamda...

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  20. The projection of the line segment joining the Points (1, 2, 3) and ...

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