Q.
The tangent to x2+y2=9 which is parallel to y-axis and does not lie in the third quadrant touches the circle at the point
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a
(3, 0)
b
(-3, 0)
c
(0, 3)
d
(0, -3)
answer is A.
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Detailed Solution
The equation of a tangent parallel to y-axis is x = c.This touches x2+y2=9. Therefore, c=±3.Thus, the equations of the tangents are x=±3.Clearly, x = 3 is the tangent not lying in the third quadrant and it meets the circle at (3, 0).
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