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Prove that the plane 2x+3y-4z=9 is perpe...

Prove that the plane `2x+3y-4z=9` is perpendicular to each of the planes `x+2y+2z-7=0` and `5x+6y+7z=23`.

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(i) Find the equation of the plane passing through (1,-1,2) and perpendicular to the planes : 2 x + 3y - 2z = 5 , x + 2y - 3z = 8 . (ii) find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0 . (iii) Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5.

Find the equation of the plane which passes through the point (2,1,4) and is perpendicular to each of theplanes 9x-7y+6z+48=0 and x+y-z=7

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is

Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to each of the following planes: 2x+3y-3z=2 and 5x-4y+z=6

Find the equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0

Find the equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0

Measure of angle between the planes 5x-2y + 3z-7=0 and 15x - 6y+9z+5=0 is

Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0

The equation of the plane passing through the line of intersection of the planes x + y + 2z = 1,2x + 3y + 4z = 7, and perpendicular to the plane x - 5y + 3z = 5 is given by:

The equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 is 17x+2y-7z=2617x-2y+7z=2617x+2y-7z+26=017x-2y+7z+26=0

RS AGGARWAL-THE PLANE-Exercise 28F
  1. Find the acute angle between the following planes: i) vecr.(hati+hatj...

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  2. Show that the following planes are right angles: i) vecr.(4hati-7hat...

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  3. Find the value of lambda for which the given planes are perpendicular ...

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  4. Find the acute angle between the following planes: 2x-y+z=5 and x+y+2...

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  5. Show that each of the following pairs of planes are at right angles: ...

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  6. Prove that the plane 2x+3y-4z=9 is perpendicular to each of the planes...

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  7. Show that the planes 2x-2y+4z+5=0 and 3x-3y+6z-1=0 are parallel.

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  8. Find the value of lambda for which the planes x-4y+lambdaz+3=0 and 2x+...

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  9. Write the equation of the plane passing through the origin and paralle...

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  10. Find the equation of the plane passing through (a,b,c) and paralle tot...

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  11. Find the equation of the plane passing through the point (1,-2,7) and ...

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  12. Find the equation of the plane passing through the point (-1,-1,2)a n ...

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  13. Find the equation of a plane passes through the point (0 ,0,0) and per...

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  14. Find the equation of the plane that contains the point A(1,-1,2) and ...

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  15. Find the equation of the plane passing through the points A(1,-1,2) an...

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  16. Find the equation of the plane passing through the points (-1,1,1) ...

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  17. Find the equation of the plane through the points A(3,4,2) and B(7,0,6...

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  18. Find the equation of the plane through the points A(2,1,-1) and B(-1,3...

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