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Equation of the plane parallel to the pl...

Equation of the plane parallel to the planes
`x+2y+3z-5=0," "x+2y+3z-7=0` and equidistant from them is

A

`x+2y+3z+12=0`

B

`x+2y+3z-1=0`

C

`x+2y+3z-6=0`

D

`x+2y+3z+6=0`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The plane 2x+3y+kz-7=0 is parallel to the line whose direction ratios...

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  2. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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  3. Equation of the plane parallel to the planes x+2y+3z-5=0," "x+2y+...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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