CUET Mathematics 2026 22nd May Shift 1 PYQs

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

The equation of line of intersection of the planes $x + y + 3z = 7$ and $x - y + 2z = 3$ is:

If the shortest distance between the lines $\vec r=(\hat i+2\hat j+3\hat k)+\lambda(2\hat i+3\hat j+4\hat k)$ and $\vec r=(a\hat i+4\hat j+5\hat k)+\mu(4\hat i+6\hat j+8\hat k)$, $a \in N$, where $\lambda$ and $\mu$ are parameters, is $\sqrt{\dfrac{5}{29}}$, then $a$ is equal to