Statement 1 : If the circle with center $P (t, 4 - 2 t), t \in R,$ cut the circles $x^{2} + y^{2} = 16$ and $x^{2} + y^{2} - 2 x - y - 12 = 0$ , then both the intersections are orthogonal. Statement 2 : The length of tangent from $P$ for $t \in R$ is the same for both the given circles.

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Statement 1 : If the circle with center

P (t, 4 - 2 t), t \in R,

cut the circles

x^{2} + y^{2} = 16

and

x^{2} + y^{2} - 2 x - y - 12 = 0

, then both the intersections are orthogonal. Statement 2 : The length of tangent from

P

for

t \in R

is the same for both the given circles.

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Question Text

Statement 1 : If the circle with center

P (t, 4 - 2 t), t \in R,

cut the circles

x^{2} + y^{2} = 16

and

x^{2} + y^{2} - 2 x - y - 12 = 0

, then both the intersections are orthogonal. Statement 2 : The length of tangent from

P

for

t \in R

is the same for both the given circles.

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