If the tangent at the point P on the circle x 2 + y 2 + 6 x + 6 y = 2    meets    the…

If the tangent at the point P on the circle x2+y2+6x+6y=2   meets    the    straight    line 5x-2y+6=0 at a point Q on the Y -axis, then the length of PQ is
  1. 4
  2. 25
  3. 5
  4. 35

Solution

Given

S : x2+y2+6x+6y=2

L : 5x-2y+6=0

At y axis x=0⇒-2y+6=0⇒y=3

⇒Q=0, 3

∴ Legent of tangent QP=S1

=0+9+0+18-2=5

Asked in: AP EAMCET 2022 (04 Jul Shift 1)

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