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CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm, BC = 7 cm, then the length BR is
In the figure, if PT is a tangent of the circle with centre O and \(\angle TPO=25^o \), then the measure of x is
In the figure, if OC = 9 cm and OB = 15 cm, then BC + BD is equal to :
In the figure, \(APB \) is a tangent to a circle with centre, \(O \), at point \(P \). If \(\angle QPB=50^o \), then the measure of \(\angle POQ \) is:
In the figure, the length of PR is :
In the figure, AB is a diameter and AC is chord of a circle such that \(\angle BAC=30^o \). If DC is tangent then \(\triangle \) BCD is
In the figure, PA is a tangent to a circle of radius 6 cm and PA = 8 cm, then length of PB is :
\( PQ\) and \(PT \) are tangents drawn from a point \(P \) to a circle with centre \(O \) such that \(\angle QPT=120^o \), then \(\angle QOT \) is equal to
The figure, shows two concentric circles with centre O. AB and APQ are tangents to the inner circle from point A lying on the outer circle. If AB = 7.5 cm, then AQ is equal to :
Quadrilateral ABCD circumscribes a circle as shown below. The side of the quadrilateral which is equal to AP + BR is :
In the figure, PT and PT’ are tangents to the circle with centre O. If \(\angle TRT’=70^o \), then x equals.
In the figure, two concentric circles of radii a and b (a > b) are given. The chord AB of larger circle touchers the smaller circle at C. The length of AB is :
The length of tangent drawn from an external point P to a circle with centre O, is 8 cm. If the radius of the circle is 6 cm, then the length of OP (in cm) is :
A tangent PA is drawn from an external point P to a circle of radius \(3\sqrt2 \) cm such that the distance of the point P from O is 6 cm as shown in figure. The value of \(\angle \)APO is:
The maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is :
Only two common tangents can be drawn because circles intersect at two points
In the given figure, O is the centre of the circle. If PA and PB are tangents from an external point P to the circle, then \(\angle AQB \) is equal to:
Number of tangents to a circle which are parallel to a secant is :
Only two parallel tangents can be drawn to a secant.
A line which is perpendicular to the radius of the circle through the point of contact is called a :
Tangent is a line which is perpendicular to the radius of circle through the point of contact.
If the angle between two radii of a circle is \(140^o \), then the angle between the tangents at the ends of the radii is :
PQ and PT are tangents to a circle with centre O and radius 5 cm. If PQ = 12, then perimeter of quadrilateral PQOT is :
How many parallel tangens can a circle have ?
A circle can have two parallel tangents.
The length of the tangents from a point A at a circle of radius 3 cm is 4 cm. The distance (in cm) of A from the centre of the circle is
If two tangents inclined at an angle of \(60^o \) are drawn to a circle of radius 3 cm, then length of tangent is equal to :
In the figure, if \(\angle AOB=125^o \) then \(\angle COD \) is equal
( opp. Sides of a circle circumscribing a circle subtend supplementary angles at the centre)
In a right triangle ABC, right angled at B, BC=15 cm, and AB = 8 cm. A circle is inscirbed in triangle ABC. The radius of the circle is :