3D Geometry

Chapter overview and full question list

Showing 441-445 of 461 questions.

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AIEEE 2003 (Offline)Question 441

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

3D Geometry

$4$$1$$2$$3$

AIEEE 2003 (Offline)Question 442

The shortest distance from the plane $12x+4y+3z=327$ to the sphere $x^{2}+y^{2}+z^{2}+4x-2y-6z=155$ is

3D Geometry

$39$$26$$11\frac{4}{13}$$13$

AIEEE 2004 (Offline)Question 443

Distance between two parallel planes $2x+y+2z=8$ and $4x+2y+4z+5=0$ is :

3D Geometry

$\frac92$$\frac52$$\frac72$$\frac32$

AIEEE 2004 (Offline)Question 444

The intersection of the spheres $x^{2}+y^{2}+z^{2}+7x-2y-z=13$ and $x^{2}+y^{2}+z^{2}-3x+3y+4z=8$ is the same as the intersection of one of the spheres and the plane

3D Geometry

$2x-y-z=1$$x-2y-z=1$$x-y-2z=1$$x-y-z=1$

AIEEE 2005 (Offline)Question 445

If the angle $\theta$ between the line $\frac{x+1}{1}=\frac{y-1}{2}=\frac{z-2}{2}$ and the plane $2x-y+\sqrt\lambda\,z+4=0$ is such that $\sin\theta=\frac13$, then the value of $\lambda$ is :

3D Geometry

$\frac53$$-\frac35$$\frac34$$-\frac43$