TS EAMCET · Maths · Circle
If are the points of contact of the tangents drawn from the point to the circle and the chord subtends an angle at then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
We have, x2+y2-8x-10y+5=0 ⇒x2+y2-8x-10y+16+25=16+25-5 ⇒x-42+y-52=62 Centre C≡4,5 Radius=CA=CB=6 units. Now, PA=PB=S1=4+9+16+30+5=8 In ∆CAP, CAPC=tanθ2 ⇒tanθ2=68=34 Now, tanθ=2tanθ21-tan2θ2=641-916 ⇒tanθ=64716=247
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