defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Three Dimensional Geometry Intersection of Planes
The equation of a plane passing through the line of intersection of the planes x + 2y + 3z = 2 and x - y + z = 3 and at a distance \(\frac{2}{{\sqrt 3 }}\)from the point (3, 1, -1) is ax + by + cz -17 = 0 The value of a + b + c -17 is
1
11
2
-11
3
22
4
-22