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If from a point `P(a ,b ,c)` perpendiculars `P Aa n dP B` are drawn to `Y Za n dZ X-p l a n e s` find the vectors equation of the plane `O A Bdot`

A

`barr.(bchati+achatj+abhatk)`

B

`barr.(bchati-achatj-abhatk)`

C

`barr.(bchati-achatj+abhatk)`

D

`barr.(bchati+achatj-abhatk)`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

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  3. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  4. If A and B are foot of perpendicular drawn from point Q(a,b,c) to the ...

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  5. If a line joining the points (1,-1,2)and(3,2,-1) is perpendicular to ...

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  6. The equation of the plane containing the lines vecr=(hati+hatj-hatk)+l...

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  7. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

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  8. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

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  9. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

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  10. The equation of plane containing the lines barr=(2hatj-3hatk)+lamda(ha...

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  11. Show that the lines (x+3)/(-3)=(y-1)/1=(z-5)/5and (x+1)/(-1)=(y-2)/2=(...

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  12. Show that the lines (x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (...

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  13. दर्शाइए कि रेखाएँ " " (x - a + d )/(alpha - delta) = ...

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  14. If the lines x = 1 + s, y = - 3 - lamda s , z = 1 + la...

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  15. Find the distance of the point hati + 2hatj - hatk from the plane barr...

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  16. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

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  17. If p(1) and p(2) are the lengths of perpendiculars from the points hat...

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  18. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

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  19. If the line barr=(hati+hatj)+lamda(2hati+hatj+4hatk) is parallel to th...

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  20. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

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