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Cyclic Quadrilaterals Free Doubts and Solutions

CBSE - IX - Mathematics - Circles

In space straight a space cyclic space quadrilateral space PQRS comma space if space angle straight P space minus space angle straight R space equals space 50 degree comma space then space find space the space measure space of space angle straight P space and space angle straight R.

Asked by Topperlearning User 21st February 2018, 9:56 AM
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CBSE - IX - Mathematics - Circles

Please solve question no 6 with proper explanation 

Asked by adityaahuja099 30th November 2017, 8:30 PM
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CBSE - IX - Mathematics - Circles

Please solve question no 7 with proper explanation 

Asked by adityaahuja099 28th November 2017, 5:05 PM
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CBSE - IX - Mathematics - Circles

Please solve question no 1 with proper explanation 

Asked by adityaahuja099 24th November 2017, 7:18 PM
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CBSE - IX - Mathematics - Circles

Please solve question no 8 with proper explanation 

Asked by adityaahuja099 20th November 2017, 7:54 PM
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CBSE - IX - Mathematics - Circles


begin mathsize 12px style In space the space given space figure comma space straight O space is space the space centre space of space the space circle space and space angle AOC space is space equal space to space 140 degree. space Find space angle ABC. end style


Asked by Topperlearning User 5th October 2017, 7:58 AM
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CBSE - IX - Mathematics - Circles

Error converting from MathML to accessible text.

Asked by Topperlearning User 4th October 2017, 2:12 PM
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CBSE - IX - Mathematics - Circles

begin mathsize 12px style increment space ABC space and space increment space ADC space are space two space right space triangles space with space common space hypotenuse space AC. space Prove space that space angle CAD space is space equal space to space angle CBD. end style

Asked by Topperlearning User 4th October 2017, 2:09 PM
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CBSE - IX - Mathematics - Circles

Prove that the opposite angles of a cyclic quadrilateral are supplementary.

Asked by Topperlearning User 4th October 2017, 2:06 PM
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CBSE - IX - Mathematics - Circles

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

Asked by Topperlearning User 4th October 2017, 2:03 PM
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CBSE - IX - Mathematics - Circles


In the figure, O is the centre of the circle and begin mathsize 12px style angle space AOC space equals space 160 degree. space Prove space that space 3 angle space straight y space minus space 2 angle space straight x space equals space 140 degree end style.



Asked by Topperlearning User 4th October 2017, 1:55 PM
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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 4th October 2017, 1:50 PM
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CBSE - IX - Mathematics - Circles

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters of the circle and (ii) ABCD is a rectangle.

Asked by Topperlearning User 4th October 2017, 1:42 PM
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CBSE - IX - Mathematics - Circles

begin mathsize 12px style In space the space figure comma space ABCD space is space straight a space cyclic space quadrilateral comma space angle CBO equals 48 degree space and space straight a equals 2 straight b. space Calculate space the space numerical space value space of space straight b. space end style



Asked by Topperlearning User 4th October 2017, 1:34 PM
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CBSE - IX - Mathematics - Circles

Prove that the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

Asked by Topperlearning User 4th October 2017, 12:58 PM
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CBSE - IX - Mathematics - Circles

In circle ,ABC is an isosceles triangle with AB=AC and P is point on side AC.Through C a line is drawn to intersect BP produced in Q,such that angle ABQ=angle ACQ.
 
PROVE THAT :ANGLE AQC=90 DEGREE+1/2 OF ANGLE A.
 
 

Asked by ranjitrk1 14th March 2016, 9:40 PM
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CBSE - IX - Mathematics - Circles

in a cyclic quadrilateral ABCD, if <A-<C=60, prove that the smaller of two is 60
 

Asked by Rishitha Reddy 10th March 2016, 9:05 PM
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CBSE - IX - Mathematics - Circles

i want to know which is the guides for claSS 10
mention the names of each subjects which is best in all subjects social hindi physics chemistry biology maths english
 
 

Asked by sanjeev.mami 9th March 2016, 8:01 PM
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CBSE - IX - Mathematics - Circles

ABCD is a cyclic quad. in which angle BAD = 75 ,angle ABD = 58, angle ADC = 77 , AC and BD  intersect at P.Then find angle DPC ?

Asked by nisha_vini29 24th February 2016, 9:29 AM
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CBSE - IX - Mathematics - Circles

prove that circle drawn with equal sides as a diameter passes through D.if D is midpoint of BC of an isosceles triangle ABC with AB=AC.

Asked by ranjitrk1 11th February 2016, 7:09 PM
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CBSE - IX - Mathematics - Circles

In the  given figure, find the measure of angle ABD , PDA , CAB and CBD ?

Asked by nisha_vini29 10th February 2016, 11:30 AM
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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 7th May 2015, 9:03 AM
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CBSE - IX - Mathematics - Circles

prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonal.

Asked by manavmansvi 7th March 2015, 11:32 AM
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CBSE - IX - Mathematics - Circles

Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point intersection of its diagonals.

Asked by sujaysarkar84 7th March 2015, 10:54 AM
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CBSE - IX - Mathematics - Circles

Hello sir ,
my question is :
in the given figure ABCD is a cyclic quadrilateral in which AE// CD and BA is produced to f.If <abc=70
and <fae=30 .find <bcd
 and i am not able to sketch the figure in this screen.PLease do the needful
 

Asked by 5th March 2015, 9:31 PM
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CBSE - IX - Mathematics - Circles

ABCD is a cyclic quadrilateral in which AB is the diameter of the circle which is passing through A,B,C & D. If angle ADC is equal to 130°, find angle  BAC
 

Asked by saketh 10th February 2015, 7:15 PM
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CBSE - IX - Mathematics - Circles

<div>In the fig. ABCD is a quadrilateral inscribed in a circle with centre o. CD is produced to E suh that <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=10760cd90092037cd4f09dde6a7d7bb7.png" alt="angle" align="middle" />AED=95 and <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=10760cd90092037cd4f09dde6a7d7bb7.png" alt="angle" align="middle" />OBA=30. Find<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=10760cd90092037cd4f09dde6a7d7bb7.png" alt="angle" align="middle" /> OAC</div> <div><img src="data:image/png;base64,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" alt="" /></div>

Asked by kumar.ashlesha 16th January 2015, 10:29 PM
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CBSE - IX - Mathematics - Circles

Prove that the sum of either pair of opposite angles of a cyclic quadrilaterals is 180
 

Asked by Ayan 16th January 2015, 4:00 PM
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CBSE - IX - Mathematics - Circles

where to found sagment  1 question paper in your site.

Asked by hpatanayak 5th October 2014, 9:38 PM
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CBSE - IX - Mathematics - Circles

In the figure, ABCD is a parallelogram. The circle through A, B and C intersects CD produced at E. Prove that AE = AD.

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CBSE - IX - Mathematics - Circles

In a cyclic quadrilateral ABCD, if AB||DC and B = 70o find the measures of the remaining angles of the quadrilateral.

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CBSE - IX - Mathematics - Circles

AOB is a diameter of the circle and C, D, E are any three points on the semicircle. Find the value of ACD + BED.

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CBSE - IX - Mathematics - Circles

ABDC is a cyclic quadrilateral and AB = AC. If ACB = 70o find BDC.

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CBSE - IX - Mathematics - Circles

ABCD is a cyclic quadrilateral. Find ADB

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CBSE - IX - Mathematics - Circles

If non-parallel sides of trapezium are equal. Prove that the trapezium is cyclic.

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CBSE - IX - Mathematics - Circles

In the figure, B and E are points on line segment AC and DF respectively. Prove that AD||CF.

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CBSE - IX - Mathematics - Circles

In the figure, ABCD is a cyclic quadrilateral and ABC = 85o. Find the measure of ADE.

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CBSE - IX - Mathematics - Circles

In the figure, if BAC = 60o, ACB = 20o find ADC.

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CBSE - IX - Mathematics - Circles

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

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CBSE - IX - Mathematics - Circles

If non parallel sides of trapezium are equal, prove that it is cyclic.

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CBSE - IX - Mathematics - Circles

In figure, P, Q, R and S are four points on a circle. PR and QS intersects at point O. If QOR = 130o and ORS = 20o. Find QPR.

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CBSE - IX - Mathematics - Circles

Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

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CBSE - IX - Mathematics - Circles

The vertices of a parallelogram lie on a circle. Prove that its diagonals are equal.

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CBSE - IX - Mathematics - Circles

O is the centre of the circle as shown in the figure. Find CBD

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CBSE - IX - Mathematics - Circles

Prove that quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic.

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CBSE - IX - Mathematics - Circles

In the given figure, O is the centre of the circle. The angle subtended by arc ABC at the centre is 140o. AB is produced to P. Determine ADC and CBP

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CBSE - IX - Mathematics - Circles

Prove that a cyclic parallelogram is a rectangle.

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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CBSE - IX - Mathematics - Circles

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