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The radius of the circle in which the sp...

The radius of the circle in which the sphere `x^(2)+y^(2)+z^(2)+2x-2y-4z-19=0` is cut by the plane `x+2y+2z+7=0` is

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Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

The value of m for which the straight line 3x-2y+z+3 = 0=4x-3y+4z+1. is parallel to the plane 2x-y+mz-2 = 0 is

The point in which the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) meets the plane x-2y+z=20 is __

The value of m for which straight lein 3x-2y+z+3=0=4 x-3y+4z+1 is parallel to the plane 2x-y+m z-2=0 is a. -2 b. 8 c. -18 d. 11

Show that the line (x+3)/(4)=(y-5)/(-1)=(z+7)/(2) lies in the plane x-2y-3z-8=0 .

Prove that the equation of the plane which passes through the point (-1,3,2) and is prependicular to the planes x+2y+2z=5 and 3x+3y+2z=8 is 2x-4y+3z+8=0 .

A circle through the common points of the circles x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) - 2x - 6y + 1 = 0 has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

Prove that the equation of the palne which passes through the point (-1,3,2) and is perpendicular to the planes x+2y+2z=5 and 3x+3y+2z=8 is 2x-4y+3z+8=0.

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane is a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1

The equation of the plane through the line of intersection of the planes 2x+y-z+5=0 and x+2y+3z=4 and perpendicular to the plane 5x+3y+6z=10 is -

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and ...

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  2. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

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  3. The radius of the circle in which the sphere x^(2)+y^(2)+z^(2)+2x-2y-4...

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  4. A sphere of constant radius 2k passes through the origin and meets t...

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  5. A plane passes through a fixed point (a,b,c). The locus of the foot of...

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  6. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  7. The equation of the plane through the intersection of the planes x+2y...

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  8. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

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  9. The vector equation of the plane passing through the origin and the ...

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  10. The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( v...

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  11. The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x...

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  12. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

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  13. The intercepts made on the axes by the plane which bisects the line jo...

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  14. The pair of lines whose direction cosines are given by the equation...

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  15. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  16. A line with positive direction cosines passes through the point P(2, -...

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  17. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  18. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

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  19. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

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  20. The equation of the plane through the line of intersection of the plan...

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