Two tangents are drawn from a point P to the circle x^{2}+y^{2}-2 x-4 y+4=0, such that the angle between these tangents is \tan ^{-1}(\frac{12}{5}), where \tan ^{-1}(\frac{12}{5}) \in(0, \pi). If the centre of the circle is denoted by C and these tangents touch the circle at points A and B, then the ratio of the areas of \triangle P A B and \triangle C A B is [17 Mar 2021 Shift 2]

Circles Part 1

Section: Mathematics

Question : 19 of 100

Marks: +1, -0

Two tangents are drawn from a point P to the circle x2+y2−2x−4y+4=0, such that the angle between these tangents is tan−1(‌

), where tan−1(‌

)∈(0,π). If the centre of the circle is denoted by C and these tangents touch the circle at points A and B, then the ratio of the areas of △PAB and △CAB is

[17 Mar 2021 Shift 2]

11: 4
9:4
3:1
2:1

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