3D Geometry · JEE Main previous year questions

2010 2 questions

1. Q202010 · 25 Apr 2010 · Shift 1

   A line $AB$ in three-dimensional space makes angles $45^{\circ }$ and $120^{\circ }$ with the positive $x$-axis and the positive $y$-axis respectively. If $AB$ makes an acute angle $\theta$ with the positive $z$-axis, then $\theta$ equals :

   1. A.$45^{\circ }$
   2. B.$60^{\circ }$
   3. C.$75^{\circ }$
   4. D.$30^{\circ }$
   Show answer

   Answer: B

2. Q282010 · 25 Apr 2010 · Shift 1

   Statement-1 : The point $A(3,1,6)$ is the mirror image of the point $B(1,3,4)$ in the plane $x-y+z=5$. Statement-2 : The plane $x-y+z=5$ bisects the line segment joining $A(3,1,6)$ and $B(1,3,4)$.

   1. A.Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1.
   2. B.Statement - 1 is true, Statement - 2 is false.
   3. C.Statement - 1 is false , Statement - 2 is true.
   4. D.Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1.
   Show answer

   Answer: A