IIT-JEE Exam

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

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IIT-JEE Other Question

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
In a triangle ABC with fixed base BC, the vertex A moves such that cosB + cosC = 4 sin^2(A/2)..If a, b and c
denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, then
(A) b + c = 4a (B) b + c = 2a
(C) locus of point A is an ellipse (D) locus of point A is a pair of straight lines