AIEEE 2005 (Offline)Question 446
If the plane $2ax-3ay+4az+6=0$ passes through the midpoint of the line joining the centres of the spheres $x^{2}+y^{2}+z^{2}+6x-8y-2z=13$ and $x^{2}+y^{2}+z^{2}-10x+4y-2z=8$, then $a$ equals :
3D Geometry
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3D Geometry
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AIEEE 2005 (Offline)Question 447
The distance between the line $\vec r=2\hat i-2\hat j+3\hat k+\lambda\left(\hat i-\hat j+4\hat k\right)$ and the plane $\vec r\cdot\left(\hat i+5\hat j+\hat k\right)=5$ is
3D Geometry
AIEEE 2005 (Offline)Question 448
The plane $x+2y-z=4$ cuts the sphere $x^{2}+y^{2}+z^{2}-x+z-2=0$ in a circle of radius
3D Geometry
AIEEE 2006 (Offline)Question 449
The image of the point $(-1,3,4)$ in the plane $x-2y=0$ is :
3D Geometry
AIEEE 2007 (Offline)Question 450
If $(2,3,5)$ is one end of a diameter of the sphere $x^{2}+y^{2}+z^{2}-6x-12y-2z+20=0$, then the coordinates of the other end of the diameter are
3D Geometry