Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

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 !??^{0}). Sakshi calculated angle BAC as (a + 25^{0}).1) Is her finding correct? justify it.

2) Find angle BAC, If a = 30

^{0}.if two non parallel sides of a trapezium are equal prove that it is cyclic

AB is a chord of a circle with radius ‘r’. If P is any point on the circle such that ∠APB is a right angle , then AB is equal to ??

how to solve this question & plz tell the method for solving

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

In the given figure, O is the centre of the circle in which OD perpendicular to AC and OE perpendicular to BC and OD = OE. Show that triangle DBA is congruent to traingle EAB.

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

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.

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!

its radius is

a) 45m

b) 116 metre

c) 208 metre

d) 500.0 5 centimetre

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}]Distance of a chord AB of a circle from the center is 12cm and length of the chord is 10cm. Find the diameter of the circle.

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.in the figure angle ACE= 36, angle CAE=41. find x,y and z

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.

1. 60$\xb0$

2. 30$\xb0$

3. 45$\xb0$

4. 75$\xb0$

5. In the given figure BD = DC and $\angle $DBC = 15$\xb0$. Find $\angle $A.

1. 60$\xb0$

2. 30$\xb0$

3. 45$\xb0$

4. 75$\xb0$

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

Q1. Let P be the point on the circumcircle of triangle ABC let PL,PM,PN be perpendiculars on BC,AC BA produced respectively. Prove that L,M,N are collinear.

Q2. Prove that the bisectors of the angles formed by producing the opposite sides of a cyclic quadrilateral(provided they are not parallel) intersect at right angle.

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

Find the length of the chord of a circle of diameter 34 cm which is at a distance of 8 cm from the centre of the circle.

Please help!

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

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

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

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.

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

prove that :

a) angle in the major segment of a circle is acute

b) angle in the minor segment of circle is obtuse

ABC is an isosceles triangle in which AB=AC IF D and E are midpoints of AB and AC respectively, prove that B,C,D and E are concyclic.

Please reply soon.

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

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.

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.

^{o }find <AOC and <ADCprove 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.

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 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.

In a circle with centre O, chord SR = chord SM. Radius OS intersects the chord RM at P. Prove that RP = PM

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

Define major sector and minor sector

Q.O is the centre of the circle. $\text{\u2220}$QPS = 65$\text{\xb0}$ : $\text{\u2220}$PRS = 33$\text{\xb0}$ , Find $\text{\u2220}$PSQ

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

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

ABCD is a cyclic quadrilateral such that AB=CD , Proove that the diagnols AC and BD are equal.

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

show that AD||CF.

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

The given figure shows a circle with centre O. CD and AB are chords of the circle. Chord AB is 6 cm long and is located 4 cm from the centre of the circle.

Which of the following statement isincorrect?

Chord CD is at a distance of 4 cm from the centre of the circle.

The radius of the circle is 5 cm.

The length of chord CD is 6 cm.

The measure ofAOB is twice that ofCOD.

Ans :It isknown that perpendicular from the centre of the circle to the chord bisects the chord.

∴CD = 2FC

⇒CD = 2×3 cm = 6 cm

It is given that the length of AB is 6 cm.

It isknown that equal chords subtend equal angles at the centre of the circle.

⇒ AOB =COD

Thus, statementDis incorrect.

The correct answer is D.

prove that diameter is the longest chord in the circle

(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.

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.

Q ) If the volume of a sphere is divided by its surface area , then the result is 27 . Find the radius of the sphere .

Q ) If the ratio of the radii of two spheres is 2 : 3 , then find the ration of their volumes .

ulike model test paper 4 solutions

Two circles having their centres at O and P intersect each other at Q and R. Two straight lines AQB and CRD are drawn parallel to OP. Prove that

(i) AB=2OP

(ii) AB=CD

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

2. Segment of a circle is the region between an arc and ____________ of the circle

Plese give me the answers fast!!!!!!!

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

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.