A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see given figure). Find the sides AB and AC.

explain this some in a little easy maNNER.PLS EXPERTSS

M and N are the centres of two circles of radii 7cm and 4cm respectively the direct common tangent to the circle meet MN at P then in what ratio does P divide MN

prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

ABC is a right triangle right angled at B, such that BC = 6 cm and AB = 8 CM, find the radius of its in circle.

PQ is a chord of length 8cm of a circle of radius 5cm. The tangent at P and Q intersect at a point T. Find the length TP?

CAN I GET THE CORRECT EXPLATION OF THIS EXAMPLE????

plz

prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc

AB is a diameter of a circle. The length of AB=5cm. If O is the centre of the circle and the length of tangent segment BT=12cm , determime CT ?

A circle touches the side Bc of a triangle ABC at a point P and touches AB and AC when produced at Q and R respectively. Show that

Two tangents TP and TQ are drawn to a circle with center O from an external point T. Prove that angle PTQ = 2 OPQ.

prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents?

ab is a chord of length 16cm of a circle of radius 10 cm .the tangents at a and b intersect at point p.find the length of pa

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two. If the sides of the triangle are 2 cm, 3 cm, and 4 cm, find the diameter of the smallest circle.

(a) 1 cm

(b) 3 cm

(c) 5 cm

(d) 4 cm.

Please give the working also..

Two circles of radius r and r' touch externally at P. APB is a secant intersecting the circles respectively at A and B(other than P). Prove that PA/PB = r/r'

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.

ACTIVITY:-

TO find the area of a circle by paper cutting and pasting method. (in 2000-3000 words)

pz...... give the necessary details with diagram or by drawings.

Ab is a diameter and AC is a chord of a circle such that angle BAC =30 .If then tangent at C intersects AB produced in D,prove that BC=BD

The radii of two concentric circles are 13cm and 8cm. AB is a diameter of the bigger circle .BD is a tangent to the smaller circle touching it at D .Find the length of AD.

If an isosceles triangle ABC in which AB = AC = 6 cm is inscribed in a

A chord of circle of radius 10 cm subtends a right angle at the centre.Find the area of the corresponding minor segment and hence find the area of the major sector?

Radii of two concentric circles are 5cm and 8cm. The length of tangent from P to the bigger circle is 15cm. Find the length of tangent to smaller circle.

The radii of two concentric circles are 13 cm and 8 cm . AB is a diameter of the bigger circle BD is tangent to the smaller circle touching it at D.Find the length of AD

From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, show that triangle APB is equilateral.

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see given figure). Find the sides AB and AC.

explain this some in a little easy maNNER.PLS EXPERTSS

M and N are the centres of two circles of radii 7cm and 4cm respectively the direct common tangent to the circle meet MN at P then in what ratio does P divide MN

prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

PT to the circle and a line PB intersect

ing the circle at two points A and B are

drawn. If PA =8 cm, and PT = 12 cm

then length of PB is

ABC is a right triangle right angled at B, such that BC = 6 cm and AB = 8 CM, find the radius of its in circle.

(A) PQ = 13 cm

(B) PQ = 10 cm

(C) RS = 13 cm

(D) area of trapezium RSCD is 78 $c{m}^{2}$

PQ is a chord of length 8cm of a circle of radius 5cm. The tangent at P and Q intersect at a point T. Find the length TP?

CAN I GET THE CORRECT EXPLATION OF THIS EXAMPLE????

plz

^{}^{2}= AB * BNprove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc

AB is a diameter of a circle. The length of AB=5cm. If O is the centre of the circle and the length of tangent segment BT=12cm , determime CT ?

A circle touches the side Bc of a triangle ABC at a point P and touches AB and AC when produced at Q and R respectively. Show that

Two tangents TP and TQ are drawn to a circle with center O from an external point T. Prove that angle PTQ = 2 OPQ.

prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents?

ab is a chord of length 16cm of a circle of radius 10 cm .the tangents at a and b intersect at point p.find the length of pa

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two. If the sides of the triangle are 2 cm, 3 cm, and 4 cm, find the diameter of the smallest circle.

(a) 1 cm

(b) 3 cm

(c) 5 cm

(d) 4 cm.

Please give the working also..Two circles of radius r and r' touch externally at P. APB is a secant intersecting the circles respectively at A and B(other than P). Prove that PA/PB = r/r'

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.

ACTIVITY:-TO find the area of a circle by paper cutting and pasting method. (in 2000-3000 words)

pz...... give the necessary details with diagram or by drawings.

Ab is a diameter and AC is a chord of a circle such that angle BAC =30 .If then tangent at C intersects AB produced in D,prove that BC=BD

The radii of two concentric circles are 13cm and 8cm. AB is a diameter of the bigger circle .BD is a tangent to the smaller circle touching it at D .Find the length of AD.

If an isosceles triangle ABC in which AB = AC = 6 cm is inscribed in a

A chord of circle of radius 10 cm subtends a right angle at the centre.Find the area of the corresponding minor segment and hence find the area of the major sector?

Radii of two concentric circles are 5cm and 8cm. The length of tangent from P to the bigger circle is 15cm. Find the length of tangent to smaller circle.

The radii of two concentric circles are 13 cm and 8 cm . AB is a diameter of the bigger circle BD is tangent to the smaller circle touching it at D.Find the length of AD

From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, show that triangle APB is equilateral.

PP' andQQ' are two direct common tangents to two circles intersecting at points A and B. The common chord on produced intersectsPP' on R andQQ' inS. Prove that(i)

RA=SB.(ii)

SR^{2}^{ }=P'P^{2}+AB^{2}