Question 1 :
The common point of a tangent to a circle and the circle is called .....
Question 2 :
The lengths of tangent drawn from an external point to a circle are equal.
Question 3 :
If the angle between two radii of a circle is $140^{\circ}$, then the angle between the tangents at the ends of the radii is :<br/>
Question 4 :
The tangent to a circle is ..... to the radius through the point of contact.
Question 5 :
The lines $\displaystyle 3x+4y=9$ and $\displaystyle 6x+8y+15=0$ aretangents to the same circle. The radius of thecircle is :-
Question 6 :
The radius of the circle which has the lines ${x}+{y}-1=0$ and ${x}+{y}-9=0$ as tangents is<br/>
Question 7 :
If the angle between the tangent from $(0,0)$ to the circle ${x}^{2}+{y}^{2}+10x+10y+40=0$ is ${\tan}^{-1}(m)$, then $m=$
Question 8 :
Find the centres of the circles passing through $(-4,3)$ and touching the lines $x+y=2$ and $x-y=2$.
Question 9 :
If the curve $y=ax^2+bx$ passes through $(-1, 0)$ and $y=x$ is the tangent line at $x=1$ then $(a, b)$.
Question 10 :
OA, OB are the radii of a circle with 0 as the center, the $\angle AOB = 120^o$. Tangents at A and B are drawn to meet in the point C. If OC intersects the circle in the point D, then D divides OC in the ratio of
Question 11 :
A tangent drawn from the point (4, 0) to the circle $\displaystyle x^{2}+y^{2}=8 $ touches it at a point A in the first quadrant. The coordinates of another point B on the circle such that $AB$ = 4 are
Question 12 :
If the points $\left( {0,0} \right)\,,$ and $\left( {2,0} \right)\,,$ are concyclic then K=
Question 13 :
Tangents PA and PB drawn to $x^2+y^2=9$ from any arbitrary point 'P' on the line $x+y=25$. Locus of midpoint of chord AB is<br>
