3D Geometry · JEE Main previous year questions

2004 3 questions

1. Q372004 · 24 Apr 2004 · Shift 1

   A line with direction cosines proportional to $2,1,2$ meets each of the lines $x=y+a=z$ and $x+a=2y=2z$ . The co-ordinates of each of the points of intersection are given by :

   1. A.$(2a,3a,3a),(2a,a,a)$
   2. B.$(3a,2a,3a),(a,a,a)$
   3. C.$(3a,2a,3a),(a,a,2a)$
   4. D.$(3a,3a,3a),(a,a,a)$
   Show answer

   Answer: B

2. Q662004 · 24 Apr 2004 · Shift 1

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

   1. A.$\frac{9}{2}$
   2. B.$\frac{5}{2}$
   3. C.$\frac{7}{2}$
   4. D.$\frac{3}{2}$
   Show answer

   Answer: C

3. Q672004 · 24 Apr 2004 · Shift 1

   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 sphere and the plane

   1. A.$2x-y-z=1$
   2. B.$x-2y-z=1$
   3. C.$x-y-2z=1$
   4. D.$x-y-z=1$
   Show answer

   Answer: A