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**Q1. If the direction cosines of two lines are such that l + m + n = 0, l ^{2} + m^{2} - n^{2} = 0, then the angle between them is **

**(a) `pi` **

**(b) `pi`/3**

**(c) `pi` /4**

**(d) `pi` /6**

**Q2. If the distance of the point P(1, -2, 1) from the plane x + 2y - 2z = `alpha` , where `alpha` > 0 is 5, then the foot of the perpendicular from P to the plane is **

**Q3. Let a plane passes through the point P(-1, 1, 1) and also passes through a line joining the points Q(0, 1, 1) Q(0, 1, 1) and R(0, 0, 2). Then the distance of plane from the point (0, 0, 0) is **

**Q4. If the planes x = cy + bz, y = az + cx, z = bx + ay pass through a line, then a ^{2} + b^{2} + c^{3}abc is **

**Q5. The equation of the plane passing through the line of intersection of the planes x + y + z = 6 and 2x + 3y + 4z +5 = 0 and perpendicular to the plane 4x + 5y - 3z = 8 is **