ExamGOAL
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33

The line $x+3 y=0$ is a diameter of the circle $x^2+y^2+6 x+2 y=0$.

A
TRUE
B
FALSE
34

The shortest distance from the point $(2,-7)$ to the circle $x^2+y^2-14 x-10 y-151=0$ is equal to 5.

A
TRUE
B
FALSE
35

If the line $l x+m y=1$ is a tangent to the circle $x^2+y^2=a^2$, then the point $(l, m)$ lies on a circle.

A
TRUE
B
FALSE
36

The point (1, 2) lies inside the circle $x^2+y^2-2x+6y+1=0$.

A
TRUE
B
FALSE
37

The line $l x+m y+n=0$ will touch the parabola $y^2=4 a x$, if $\mathrm{In}=a m^2$.

A
TRUE
B
FALSE