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
38
If $P$ is a point on the ellipse $\frac{x^2}{16}+\frac{y^2}{25}=1$ whose foci are $S$ and $S^{\prime}$, then $P S+P S^{\prime}=8$.
A
TRUE
B
FALSE
39
The line $2 x+3 y=12$ touches the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=2$ at the point $(3,2)$.
A
TRUE
B
FALSE