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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 !??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.

O is the center of a cicle AB=16cm,CD=14cm seg OT is perpendicular to seg AB seg ON is perpendicular to seg CD .If seg OT=6cm then find ON

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

AOC is a diameter of a circle.Arc AXB = 1/2 arc BYC.Find angle BOC.

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

1.find the value k for which x=0 and y=8 is a solution of 3x-6y=k.

2.express x in terms of y if x/4-3y=7.

3.two cosecutive angle of a parallelogram (x+70) and (2x+50).what special name can you give to this parallelogram?

4.if the no. of square centimetres on the surface area of sphere is equal to the no. of cubic centimetres in its volume. what is it diameter of the sphere.

5.AB and CDare two equal chords of a circle with centre O . OP and OQ are perpendiculars on chords AB and CDrespectively. if angle POQ=100, find angle PQD.

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.

if ABC is an arc of a circle and angleABC=135,then the ratio of arc PQR to the circumference is

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.

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!

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}]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.

ABCDE is regular pentagon. Prove that the points A, B, C and E are concyclic.

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.draw a graph of the linear equation 2x + y =6 at what point the graph cuts the y axis?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.

and <dab=60

^{0 what is the measure of <dba}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.

(i) $PM\perp AB\phantom{\rule{0ex}{0ex}}$

(ii) PM produced will pass through the centre O;

(iii) PM produced will bisect the major arc AB.

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

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.

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

Define major sector and minor sector

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.

explain about the angles in the same segment of a circle

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.

42. Three friends ordered 3 pizzas of the same sized for them. Just then two more friends joined them. They decided to share

3 pizzas among all of them.

a) Find the area of the share of pizza each child gets if the radius of each pizza is 7 cm.

b) Which values of children are dipicted here?

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'.

in a circle AB and AC are two chords with centre O.CO and OB are joined and angle CAB=50,find angle AOB and OAB.

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

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

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

A friendly cricket match is being organized between two teams . The proceeds of this match will be given for the aid to the "Charitable Hospital" for handicapped children. The field is circular with ring of uniform width for the spectators. If O is the centre and four poles are fixed at points A, B, C and D lying in a straight line. Prove that AB= CD - 1/2(AD-BC).

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

NEED ANSWER URGENTLY..

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.

Q15. In figure $\angle $ADE and $\angle $ABC differ by 15°. Find $\angle $CAE.

Prove that the mid - point of the hypotenuse of a right triangle is equidistant from its vertices.so sir,can u also show how to find the square root of 60?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.

2 circles of radii 10cm and 6cm intersects at 2 points and the distance between their centers is 8cm.

Find the length of the common chord .

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

Proove that opp angles of a cyclic quadrilateral are supplementary. How can we proove its converse.

Two equal chords AB and CD of a circle when produced, intersect at Point P. Prove that PB = PD.

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 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.

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

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

what is the contribution of any 5 Indian mathemation in the chapter 'circle'?

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

in d vedio why do we don't take AO - OD and OB - OC as d radii ???

In triangle ABE, AE = BE.Circle through A and B intersects AE and BE at D and C respectively.prove that DC parallel to AB. plz solve my problem

prove that diameter is the longest chord in the circle

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 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.

can the experts explain the ques 1 of pg 179 ncert class 9th by

?videowould really be appreciable

thnx

ulike model test paper 4 solutions

what is exterior angle property of a quadrilateral

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

When I saw NCERT solutions of maths, I observed that in ques no. 7 of Ex. 10.5 it is told that only by proving all the sides of a cyclic quadrilateral 90 degree it can be said that it is a rectangle. Why we do not need to prove opposite sides equal?

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

experts this is urgent can you please answer my following Q fast

how AD

^{2}= 900+1/4 AD^{2}BECOMES3/4AD

^{2}= 900 IN CHAPTER CIRCLES EXERCICE 10.4 QUESTION6its very urgent please