IIT-JEE Exam

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

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IIT-JEE Other Question

Let z = x + iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation zz^3 + zz^3 = 350 is
option
(A) 48
(B) 32
(C) 40
(D) 80 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