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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 !??what is the difference between concyclic and cyclic quadrilaterals?

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

Q. The range of x, 32, 41 ,62, 64, and 71 is 45. Which of the following can be the value of X?

(A) 32 (B) 47

(C) 48 (D) 26

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

Plz

and answer the following question: "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."explainAB 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

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

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}]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.

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!

ABCD is a cyclic quadrilateral with O as centre of the circle.if m angleBOD =136,find m angle BCD?

ABCD is a square of side lenght 1 unit. A circle is tangent to two sides of ABCD and passes through exactly one of verices. the radius of circle is

a) [2+ 2

^{1/2}] b) 2- 2^{1/2}c) 0.5 d) 3/2If 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.

2 diameters of a circle intersect each other at right angle.Prove that quadrilateral formed by joining their end points is a square.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.

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

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._{1 }AND O_{2 ARE THE CENTRES OF TWO CONGRUENT CIRCLES INTERSECTING EACH OTHER AT POINTS C AND D. THE LINE JOINING THEIR CENTRES INTERSECTS THE CIRCLES AT A AND B SUCH THAT AB >}O_{1}O_{2. }IF CD = 6 CM AND AB = 12 CM FIND THE RADIUS OF THE EITHER CIRCLE.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.

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.

Find the area of a cyclic quadrilateral whose sides are 8 cm,10 cm,12 cm and 16 cm.

A- ROOT 15015

B- root 30030

C-root 10010

D- none of these

PLZ SHOW THE ENTIRE WORKING

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

prove that the perpendicular bisectors of two chords of a circle intersect at the centre.

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

if the tangents at A B and C of circumcircle of the triangle meet the opposite sides in D Eand F such that they are collinear then prove BD : CD = BA^2 : AC^2

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.

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

PLZ GIVE ME IMPORTANT QUESTIONS OF MATHS

rnPLZ HELP MY MATHS EXAM IS ON MONDAY

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

in the given figure isxTwo 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.

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'.

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

In the figure ABCE is a cyclic quadrilateral O is the centre of the circle If angle CEF=70 degree Then find degree ABC and angle ADC.

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

determine (1)angle ACD (2)angle DAC (3)angle ABD

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.

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

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.

Prove that the mid - point of the hypotenuse of a right triangle is equidistant from its vertices.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 ARE

COCYCLIC POINTSProve that the angle in a semi-circle is a right angle.

can ny1 xplain me d 5th sum of ex.10.4??

its sum wat confusin

Define major sector and minor sector

How many circles can be drawn through 3 collinear points?

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.

Bisectors of angles of a triangle ABC meet its circumcircle at points X, Y and Z respectively. Prove that the angles of triangle XYZ are 90

^{0}-angle A/2, 90^{0}- angle B/2, 90^{0}-angleC/2prove that line segment joining midpoints of two equal chords of a circle makes equal angles with the chord

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.

Prove that the ciecle drawn on any equal side of an isosceles triangle a diameter, bisects the third side.

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

PQR is an isosceles triangle inscribed in a circle.If PQ = PR = 25cm and QR = 14, Calculate the radius of the cirlce to the neareast cm.

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

1. Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between the centres.

A hemispherical bowl of internal and external diameters 6 cm and 10 cm is melted and formed into a right circular cylinder of radius 14cm . Find the height of the cylinder .

prove that diameter is the longest chord in the circle

Let C be the mid-point of an arc AB of a circle such that measure of arc AB=183 degrees.If the region bounded by the arc ACB and line segment AB is denoted by S,then the centre O of the circle lies:- (a) in the interior of S (b) in the exterior of S (c) on the segment AB (d) on AB and bisects AB

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.

In case of a right angled triangle ,a circle drawn with hypotenuse as diameter passes through the opposite vertex

ulike model test paper 4 solutions

AB and AC are two chords of a circle of radius 'r' such that AB =2AC. If 'p' and 'q' are the distances ofAB and AC from the centre prove that 4p(square) =p (square) +3r(square)

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

can you give questions for textbook solutions

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

an equilateral triangle is inscribed in a circle of radius 10m find the length of the side of the equilateral triangle