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The plane denoted by `P_1 : 4x+7y+4z+81=0` is rotated through a right angle about its line of intersection with plane `P_2 : 5x+3y+10z=25`. If the plane in its new position be denoted by P, and the distance of this plane from the origin is d, then the value of `[(k)/(2)]` (where[.] represents greatest integer less than or equal to k) is....

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The plane denoted by P_(1) : 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane P_(2) : 5x+3y+ 10 z = 25 . If the plane in its new position is denoted by P , and the distance of this plane from the origin is d, then find the value of [k//2] (where [*] represents greatest integer less than or equal to k).

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10z=25 . If the equation of the plane in its new position is x-4y+6z=K , then the value of K is

The plane x-2y+3z=0 is rotated through a right angle about the line of intersection with the plane 2x+3y-4z-5=0, find the equation of the plane in its new position.

The plane x- y - z = 2 is rotated through an angle pi/2 about its line of intersection with the plane x + 2y + z = 2 . Find its equation in the new position.

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

The plane x-y-z=4 is rotated through 90^(@) about tits line of intersection with the plane x+y+2z=4. Find its equation in the new position,

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10z=25. The equation of the plane in its new position is a.x-4y+6z=106 b.x-8y+13z=103 c.x-4y+6z=110 d.x-8y+13z=105

If the plane x+y+z=1 is rotated through 90^(@) about its line of intersection with the plane x-2y+3z=0, the new position of the plane is

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Integer Answer Type Questions)
  1. If the triangle ABC whose vertices are A(-1, 1, 1), B(1, -1, 1) and C(...

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  2. The equation of a plane which bisects the line joining (1, 5, 7) and (...

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  3. The shortest distance between origin and a point on the space curve ...

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  4. The plane 2x-2y+z+12=0 touches the surface x^2+y^2+z^2-2x-4y+2z-3=0 on...

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  5. If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(...

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  6. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

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  7. If overline(P1P2) is perpendicular to overline(P2P3), then the value o...

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  8. Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and...

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  9. Let P(a, b, c) be any on the plane 3x+2y+z=7, then find the least valu...

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  10. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

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  11. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

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  12. The position vectors of the four angular points of a tetrahedron OABC ...

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  13. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

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  14. If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least...

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  15. If the line x=y=z intersect the line xsinA+ysinB+zsinC-2d^(2)=0=xsin(2...

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  16. The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(...

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  17. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

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  18. A variable plane which remains at a constant distance p from the origi...

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  19. If (l(1), m(1), n(1)) , (l(2), m(2), n(2)) are D.C's of two lines, th...

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  20. If the coordinates (x, y, z) of the point S which is equidistant from ...

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