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Syllabus

The angle subtended by an arc at the centre of a circle is double the angle subtended by it at any point on the remaining part of the circle.give me the proof of this theorem !??13. Find the value of x in given figure.

if two non parallel sides of a trapezium are equal prove that it is cyclic

To level a plot of land 96 and 80 sq.metres in area, the circumference of a roller has to roll over 352 Dm. How long is the roller

Prove that the quadrilateral formed by internal angle bisectors of a cyclic quadrilateral is also cyclic.

what is the difference between concyclic and cyclic quadrilaterals?

AB and CD are two parallel chords of a circle such that AB = 10cm and CD = 24. The chords are on opposite sides of the centre and distance between them is17cm. Find the radius of the circle

Q. In figure, a circle with centre O is drawn and $\text{\u2220BAC}$=50° . Find x ?

Prove that angles in the same segment of a circle are equal

In a circle of radius 5 cm,AB and AC are two chords such that AB = AC = 6 cm.Find the length of chord BC.

RS.A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David re sitting at equal distance on its boundary each having a toy telephone in their hand to talk each other. Find the length of the string of each phone....This is a text ques. (Exrcise. 10.4 ques no. 6) Any one plz help me to answer this!

^{0}and angle 70^{0, }find angle PAB and angle QAB.Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5 m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip?

[{i have read the solution for this but i am not understanding}]I couldn't understand the answer to this question,please explain again.If two chords AB and CD of a circle AYDZBWDX intersect at right angle ( see figure below ),prove that

If P, Q and R are mid points of sides BC, CA and AB of a triangle ABC, and Ad is the perpendicular from A on BC, prove that P, Q , R and D are concyclic.

plzz solve urgently!!!!

Prove that The sum of either pair of opposite angles of a cyclic

quadrilateral is 180º.

Two chords AB and CD of lengths 5 cm 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.

two circle of radii 5cm and 3cm intersect at two points and the distance between their centres is 4 cm .find the length of common chord.“The exterior angle of a cyclic quadrilateral is equal to its interior opposite angle.”

two chord AB and AC of a circle are equal.prove that the bisector of angle BAC passes through the centre O of the circle

AB ia a diameter of the circle,CD is a chord equal to the radius of the circle.AC and BD when extended intersect t a point E. Prove that angle AEB=60 DEGREE.

ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If angleDBC = 55° and angle BAC = 45°, find BCD.

ABC is a right angle triangle, right angled at A. A circle is inscribed in it. The

length of two sides containing angle A is 12cm and 5cm find the radius.

If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

ABC is a right angle triangle, right angled at A. A circle is inscribed in it. The length of two sides containing angle A is 12cm and 5cm find the radius.

ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD.

In a circle with centre O,chords AB and CD intersect inside the circumference at E.Prove that ∠AOC + ∠BOD = 2∠AEC

Prove AO= 2/3 AD

OD is perpendicular to chord AB of a circle whose centre is O. if BC is a diameter prove that CA=2OD

in the figure, chord AB of circle with centre O, is produced to C such that BC = OB . CO is joined and produced to meet the circle at D.If angle ACD = y and angle AOD = x,show that x = 3y.

What is meant by concyclic points ?AB and AC are two chords of a circle of radius r such that AB = 2AC. if p and q are distances of AB and AC from the centre , prove that 4q

^{2 }= p^{2}= 3r^{2}X &Y are centres of circles of radius 9cm, 2cm and XY=17cm.Z is the centre ofcircle of radius r cm, which touches the above circle externally given that XZY=90degree. Write an equation inr and solve it for r

If two sides of a cyclic quadrilateral are parallel , prove tha the remaining two sides are equal and the diagonals are also equal

Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

if two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection , prove that the chords are equal.

AB and CD are two parallel chords of a circle which are on opposite sides of the center such that AB=24cm and CD=10cm and the distance between AB and CD IS 17cm. Find the radius of the circle.

Two circles whose centres are O and O' intersect at P. Through P, line "l" parallel to OO' intersecting the circles at C and D is drawn. Prove that CD=2OO'.

A square ABCD is inscribed in a circle of unit radius. Semicircles are described on each side as a diameter. The area of the region bounded by the four semicircles and the circle is.

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

an equilateral triangle of side 9 cm is inscribed in a circle.Find the radius of the circle

Two congruent circles with centres P and Q .R is the mid point of PQ and ABRCD is a straight line. Prove that chord AB is equal tord CD

a circle has radius root 2 cm. It is divided into 2 segments by a chord of length 2cm. proved that angle subtended by the chord at the point in measure segment is 45 degree

If two equal chords intersect within the circle,prove that the line joining the point of intersection to the centre makes equal angles with the chords.

25. In fig.ABC,AEG and HEC are straight lines. Prove that $\text{\u2220AHEand\u2220EGC}$ are supplementary.

prove that There is one and only one circle passing through 3 given non-collinear points

prove that the line joining the mid point of a chord to the center of the circle passes through the mid point of the corresponding minor arc

I do not find interest towards this chapter........please give me some suggestions about this chapter.

In the given figure, O is the centre and AE is the diameter of the semicircle

ABCDE. If AB = BC and AEC = 50, then find

(a) CBE (b) CDE (c) AOB. Prove that BO||CE.

How many circles can be drawn through 3 collinear points?

Prove that the mid - point of the hypotenuse of a right triangle is equidistant from its vertices.my question is that if we are given an arc,say AB. Now complete the circle.

Bisectors of angle A & C of a cyclic quadrilateral ABCD intersect a circle through A,B,C,D at E&F respectively. Proove that EF is the diameter of the circle.

what is meant by concyclic points and circumcircle

what is concentric circle

what is orthocentre

what is centroid

what is circumcentre

Prove that the angle in a semi-circle is a right angle.

Define major sector and minor sector

Prove that the circle drawn by taking any one of the equal sides of an isosceles triangle as diameter bisects the third side.A chord of a circle is equal to the radius of the circle. Find the angle subtended by thre chord at a point on the minor arc and also at a point on the major arc.

prove that daob =dcod

rnprove that line segment joining midpoints of two equal chords of a circle makes equal angles with the chord

D is a point on the circumcircle of tri.ABC in which AB = AC such that B and D are on the opposite side of line AC.If CD is produced to a point E such that CE = BD.Prove that AD = AE

ABC IS A TRIANGLE IN WHICH AB=AC. P IS A POINT ON AC. THROUGH C A LINE IS DRAWN TO INTERSECT BP PRODUCED AT Q SUCH TAHT ANGLE ABQ=ANGLE ACQ. PROVE THAT

ANGLE AOC=90 DEGREES+ HALF OF ANGLE BAC.

if the sum of a pair of opposite angles of a quadrilateral is 180,then show that the quadrilateral is cyclic

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

I din't understand the answer give. Please explain me again! :O

extra questions similar to 10.5 exercise with answers plz

prove that diameter is the longest chord in the circle

can any1 explain it to me what is SSS,SAS,ASA rules???

In an isosceles triangle ABC with AB = AC a circle passing through B and C intersect the sides AB and AC at D and E respectively.Prove that DE||BC.

pls explain the theorem: angles in the same segment of rcle are equal.

ulike model test paper 4 solutions

ABCD IS A RECTANGLE.PROVE TAT THE CENTER OF THE CIRCLE THROUGH A,B,C,D IS THE POINT OF INTERSECTION OF ITS DIAGNOLS

Prove that equal chords of a circle subtend equal angles at the centre.

prove that the longest chord in a circle is nearer to the diameter.

prove that bisectors of angles formed by producing opposite sides of cyclic quadrilateral (provided they are not parallel) intersect each other at right angle.

A LINE SEGMENT AB IS OF LENGTH 5Cm

DRAW A CIRCLE OF RADIUS 2CM PASSING THROUGH A AND B ? GIVE REASON IN SUPPORT OF YOUR ANSWER.