Circles
General
Grade 11

Question:

In the xy plane, the segment with end points (3, 8) and (–5, 2) is the diameter of the circle. The point (k, 10) lies on the circle for
no value of k
exactly one integral k
exactly one non integral k
two real values of k

Step-by-Step Solution

Key Concept: General
The given point (-a, 2a) lies on the directrix x = -a of the parabola y^{2} = 4ax. Thus, the tangents are at right angle.
Correct Answer: B

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