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In the given figure
PQ = PR (Tangent from the same point on a circle)
Two circles touch each other externally at C and AB is a common tangent to the circles. Then \(\angle \)ACB =
Two concentric circles are of radius 5cm and 3cm. Then the length of the chord of the larger circle which touches the smaller circle is
In
How many circles can be drawn passing through three collinear points.
No circle can be drawn
In the figure, o is the centre, \(BC = OB\), \(\angle ACD=y\) and \(\angle AOD=x \) then
Let
A circle is inscribed in a quadrilateral PQRS. If QR = 30 cm, QA = 22 cm, RS = 30 cm and PS = SR then radius of circle is
So, required radius = 22 cm
The length of the tangent from a point A at a circle of radius 3 cm is 4 cm. The distance of A from the centre of the circle is
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of \(80^o \) then \(\angle \)POA is
In
Number of tangents that can be drawn from a point lies inside of a circle are
No tangent can be drawn from a point inside circle.
In the figure given below O is the centre of the circle. Line AB intersects the circle only at point B and line DC interests the circle at point C. if the circle has a radius of 2 cm. Then AC is
PQ, PR are tangents to a circle and QS is a diameter then
In the following figure, QS is the diameter and APT the tangent at P. Then \(\angle \)APQ is
In
In the adjoining figure AOB is a diameter MPQ is a tangent at P then the value of \(\angle \)MPA is equal to
(Isosceles triangle)
In
PQRS is a square SR is a tangent to the circle with centre O and TR = OS. Then ratio of area of the square to the area of circle is
Let radius of circle be
Two circles of radii \(a \) and \(b \) touch each other externally if \(ST \) is their common tangent at \(S \) and \(T \) the value of \(ST^2 \) is equal to
In the given figure, circles \(AxB\) passes through \(â€˜Oâ€™\) the centre of circle \(AyB. Ax, Bx\) and \(Ay, By\) are the tangents to the circles \(AyB\) and \(AxB\) respectively. The value of \(y\) is
In the given figure, \(\angle QSR \) is equal to
In the adjoining figure, A, B, C are three points on a circle with centre O. The chord BA is extended to a T such that CT becomes a tangent to the circle at point C. if \(\angle \text{ATC}=30^o \) and \(\angle \text{ACT}=50^o \) then \(\angle \text{BOA} \) is
A circle is inscribed in a \(\triangle \) ABC having sides 8cm, 10cm and 12cm as shown in figure. Find AD
on solving
A tangent PQ at a point P of a circle of radius 5 cm meets through the centre O at a point Q so that OQ = 12 cm. Length of PQ is
From an external point \(P \), tangent \(PA \) and \(PB \) are drawn to a circle with centre \(O \) if \(\angle PAB=50^o \) then find \(\angle AOB \)
\(AOB \) is a diameter of the circle with centre \(O \) and \(AC \) is a tangent to the circle at \(A \). If \(\angle BOC=130^o \) then find \(\angle ACO \)
(Linear pair)
In
If \(AP \) and \(BP \) are tangents to a circle with centre \(O \) such that \(AP=5\ cm \) and \(\angle APB=60^o \). Find the length of chord \(AB \)
Let
It is a equilateral triangle
Hence
In the given figure \(O \) is the centre of a circle of radius \(5\ cm \). \(T \) is a point such that \(OT=13\ cm\) and \(OT \) intersect circle at \(E \). Find the length of \(AB \) where \(TP \) and \(TQ \) are two tangents to the circle.
In ,
Let
In the given figure, \(O \) is the centre of incircle inscribed in \(\triangle ABC \). Find \( \angle BOC\) if \(\angle BAC=40^o \)