IIT-JEE Exam

Let P(3, 2, 6) be a point in space and Q be a point on the line r = (ˆi − ˆj+ 2kˆ ) + μ(−3ˆi + ˆj+ 5kˆ ) . Then the
value of μ for which the vector PQ
is parallel to the plane x − 4y + 3z = 1 is

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IIT-JEE Other Question

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^2 + 9y^2 = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is Tangents drawn from the point P (1, 8) to the circle x^2 + y^2 − 6x − 4y − 11 = 0 touch the circle at the points
A and B. The equation of the circumcircle of the triangle PAB is