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The equation of the plane through the po...

The equation of the plane through the point (1,2,-3) which is parallel to the plane `3x-5y+2z=11` is given by

A

`3x-5y+2z-13=0`

B

`5x-3y+2z+13=0`

C

`3x-2y+5z+13=0`

D

`3x-5y+2z+13=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Any plane parallel to the given plane is
`3x-5y+2z+lamda=0` . . . (i)
The point (1,2-3) lies in it, if `lamda=13`.
`:.` Equation of parallel plane is `3x-5y+2z+13=0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PLANE-Practice exercise (Exercise 2) Miscellaneous problems
  1. The equation of the plane through the point (1,2,-3) which is parallel...

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  2. The equation of a plane containning the lines r=a(1)+"t b"(1)andr=a(2)...

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  3. If a plane, intercepts on the coordinates axes at 8,4,4 then the lengt...

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  4. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

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  5. Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a ...

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  6. The distance of the point (2,1,0) from the plane 2x+y+2z+5=0

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  7. If the planes 2x+y-2z=0and x+2y+kz=0 are at right angles, then the val...

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  8. The plane 2x+3y+4z=1 meets the coordinate axis in A, B, C. The centroi...

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

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  10. The image of the point (1,2,3) by the plane, x+y+z+3=0 is

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  11. The plane through the point (-1,-1,-1) and containing the of intersect...

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  12. the equation of a plane through the line of intersection the planes x+...

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  13. The equation of the plane perpendicular to the line (x-1)/1=(y-2)/(-1)...

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  14. The equation of the plane which makes with coordinate axes, a triangle...

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  15. The equation of the plane containing the line 2x-5y""+""z""=""3;""x"...

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  16. The angle between r=(1+2mu)hat(i)+(2+mu)hat(j)+(2mu-1)hat(k) and the p...

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  17. An equation of a plane parallel to the plane x-2y +2 z-5=0 and at a un...

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  18. If the angle between the line x(y-1)/2=(z-3)/lamda and the plane x+2y...

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  19. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x+3y-alphaz+b...

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  20. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

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