1
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

The shortest distance between the lines $${{x - 1} \over 2} = {{y + 8} \over -7} = {{z - 4} \over 5}$$ and $${{x - 1} \over 2} = {{y - 2} \over 1} = {{z - 6} \over { - 3}}$$ is :

A
$$2\sqrt3$$
B
$$3\sqrt3$$
C
$$4\sqrt3$$
D
$$5\sqrt3$$
2
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

The foot of perpendicular of the point (2, 0, 5) on the line $${{x + 1} \over 2} = {{y - 1} \over 5} = {{z + 1} \over { - 1}}$$ is ($$\alpha,\beta,\gamma$$). Then, which of the following is NOT correct?

A
$$\frac{\alpha}{\beta}=-8$$
B
$$\frac{\alpha \beta}{\gamma}=\frac{4}{15}$$
C
$$\frac{\beta}{\gamma}=-5$$
D
$$\frac{\gamma}{\alpha}=\frac{5}{8}$$
3
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

The shortest distance between the lines $$x+1=2y=-12z$$ and $$x=y+2=6z-6$$ is :

A
3
B
$$\frac{5}{2}$$
C
$$\frac{3}{2}$$
D
2
4
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

The distance of the point P(4, 6, $$-$$2) from the line passing through the point ($$-$$3, 2, 3) and parallel to a line with direction ratios 3, 3, $$-$$1 is equal to :

A
3
B
$$\sqrt{14}$$
C
$$\sqrt6$$
D
$$2\sqrt3$$
EXAM MAP
Medical
NEET