IIT-JEE 2006 | 3D Geometry Question 44 | Mathematics

IIT-JEE 2006

MCQ (Single Correct Answer)

-1

A plane passes through $(1,-2,1)$ and is perpendicular to two planes $2 x-2 y+z=0$ and $x-y+2 z=4$. The distance of the plane from the point $(1,2,2)$ is:

$\sqrt{2}$

$2 \sqrt{2}$

IIT-JEE 2005 Screening

MCQ (Single Correct Answer)

-1

A variable plane at a distance of the one unit from the origin cuts the coordinates axes at $$A,$$ $$B$$ and $$C.$$ If the centroid $$D$$ $$(x, y, z)$$ of triangle $$ABC$$ satisfies the relation $${1 \over {{x^2}}} + {1 \over {{y^2}}} + {1 \over {{z^2}}} = k,$$ then the value $$k$$ is

$$3$$

$$1$$

$${1 \over 3}$$

$$9$$

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-1

Find the equation of the plane containing the line $$2 x-y+z-3=0,3 x+y+z=5$$ and at a distance of $$\frac{1}{\sqrt{6}}$$ from the point $$(2,1,-1)$$.

$$62x+19y+29z-105=0$$

$$62x+29y+z-105=0$$

$$29x+62y+19z-105=0$$

$$62x+29y+19z-105=0$$

IIT-JEE 2004 Screening

MCQ (Single Correct Answer)

-1

If the lines $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $$\,{{x - 3} \over 1} = {{y - k} \over 2} = {z \over 1}$$ intersect, then the value of $$k$$ is

$$3/2$$

$$9/2$$

$$-2/9$$

$$-3/2$$

PREVIOUS NEXT

JEE Advanced Subjects

Browse all chapters by subject