IIT-JEE Exam

A line with positive direction cosines passes through the point P(2, - 1, 2) and makes equal angles with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ
equals??

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IIT-JEE Other Question

The locus of the orthocentre of the triangle formed by the lines
(1 + p)x - py + p(1 + p) = 0, (1 + q)x - qy + q(1 + q) = 0
and
y = 0,
where p = q, is? If the sum of first n terms of an A.P. is cn2, then the sum of squares of these n terms is?