MEDIUM
JEE Main
IMPORTANT
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The shortest distance between the lines and is
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Important Questions on Three Dimensional Geometry
HARD
JEE Main
IMPORTANT
The foot of perpendicular of the point on the line is . Then. Which of the following is NOT correct?
HARD
JEE Main
IMPORTANT
If the shortest distance between the line joining the points and , and the line is , then is equal to _____ .
MEDIUM
JEE Main
IMPORTANT
Let the co-ordinates of one vertex of be and the other two vertices lie on the line . For , if the area of is and the line segment has length units, then is equal to _______.
MEDIUM
JEE Main
IMPORTANT
Let the equation of the plane containing the line be and the distance of the plane from the point be . Then is equal to
HARD
JEE Main
IMPORTANT
Shortest distance between the lines
HARD
JEE Main
IMPORTANT
The plane $2 x-y+z=4$ intersects the line segment joining the points $\mathrm{A}(\mathrm{a},-2,4)$ and $\mathrm{B}(2, \mathrm{~b},-3)$ at the point $\mathrm{C}$ in the ratio $2: 1$ and the distance of the point $\mathrm{C}$ from the origin is $\sqrt{5}$. If $a b<0$ and $\mathrm{P}$ is the point $(\mathrm{a}-\mathrm{b}, \mathrm{b}, 2 \mathrm{~b}-\mathrm{a})$ then $\mathrm{CP}^2$ is equal to:
HARD
JEE Main
IMPORTANT
If the lines and intersects at the point , then the distance of the point from the plane is :
HARD
JEE Main
IMPORTANT
The line passes through the point and is perpendicular to the plane . Then the shortest distance between the line and the line is:
