CircleEasy
Question
Let the tangents drawn to the circle, x2 + y2 = 16 from the point P(0, h) meet the x-axis at points A and B. If the area of ᐃAPB is minimum, then h is equal to :
Options
A.4√2
B.4√3
C.3√2
D.3√3
Solution
Equation of tangent from (0, h) to the circle is y – h = m (x – 0)
y = mx + h touch the circle
⇒
= 4 ⇒ h = 4
⇒ y = ±
x + h
Area of ᐃ PAB is =
⇒ h = 4√2
y = mx + h touch the circle
⇒
= 4 ⇒ h = 4 ⇒ y = ±x + hArea of ᐃ PAB is =
⇒ h = 4√2
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