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Let ABCD be a cyclic quadrilateral and AB = CD.
⇒ arc AB = arc CD (Corresponding arcs of the equal chords)
Adding arc AD to both the sides of the equation;
arc AB + arc AD = arc CD + arc AD
∴ arc BAD = arc CDA
⇒ Chord BD = Chord CA
⇒ BD = CA

Hence, when pair of opposite sides of a cyclic quadrilateral are equal, diagonals are also equal.

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What are the identities of number syestem

Posted by Shravya Shetty 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Prabhjot Kaur 5 years, 10 months ago

1) (a+b)^2 = a^2 + b^2 + 2ab 2) (a-b) ^2 = a^2 + b^2 - 2ab 3) (a^2 - b^2) = (a+b) (a-b) 4) (a+b+c) = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca 5) (a+b)^3 = a^3 + b^3 + 3ab (a+b) 6) (a-b) ^3 = a^3 - b^3 - 3ab (a-b) 7) (a^3 + b^3) = (a+b) (a^2 - ab + b^2) 8) (a^3 - b^3) = (a-b) (a^2 + ab + b^2) 9) (a^3 + b^3 + c^3 - 3abc) = (a+b+c) (a^2 + b^2 + c^2 - ab -bc - ca) 10) (x+a) (x+b) = x^2 + (a+b) x + ab 11) if a + b + c = 0, then a^3 + b^3 + c^3 = 3abc

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What is the area of an equilateral triangle with side root 3 by 4

Posted by Ram Niwas Malik 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Amrit Raj 5 years, 10 months ago

3√3/64

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Write 2 solution for the following equation 3x+4y=7

Posted by Iyaz Ismail 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Amritha Anand 5 years, 10 months ago

Solution 3x+4y=7 X=1..y=1 Therefore 3+4=7 If x=2..y=1/4 Therefore 6+1=7

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What is parrallel line

Posted by Premchand Rathor 5 years, 10 months ago

CBSE > Class 09 > Mathematics

3 answers

Kanika Sharma 5 years, 10 months ago

The lines which never intersect each other are called parallel lines.

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Satyam Singh 5 years, 10 months ago

Parallel line are two lines is equal distance a part never touch it parallel lines (ll).

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Mortal Combat 5 years, 10 months ago

parallel lines are two lines that does not meet each other at any point.

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Chapter 9 exercise 9.1

Posted by Nagender Nagar 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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A number is irrational if its decimal representation is

Posted by Mohit Saini 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Vishal Rawat 5 years, 10 months ago

Non terminating

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If diagonals of a quardilatetal bisect each other proove that it is a ractangle

Posted by Mayank Purohit 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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Factorise x^2 - 3

Posted by Priyanshu Yadav 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajneesh Payal 5 years, 10 months ago

X (x-3)

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Without actually calculating the cubes find the value of 45,25,20

Posted by Rajkumar Parjapati 5 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Prabhjot Kaur 5 years, 10 months ago

But your statement is wrong It must be 45 + (-25)+ (-20) So. 45 - 45 =0 Then 3 * 45 * -25 * -20 = 67,500

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Prabhjot Kaur 5 years, 10 months ago

If a + b + c = 0 then a^3 + b^3 + c^3 = 3 abc

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If x÷y+y÷x= -1for x not equal to0 then find x cube - y cube

Posted by Ajul Thara 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

ANSWER

Find three solution of 4x+3y=12

Posted by Muneeswari K 5 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Yaadavi Tandon 5 years, 10 months ago

First, put x=0 4(0)+3y=12 0+3y=12 So, y=4. (0,4) Now, put y=0 4x+3(0)=12 4x+0=12 So, x=3 (3,0) Put y=1 4x+3(1)=12 4x+3=12 4x=9 So, x=9/4 i.e 2.25 Or u can fill any other value in place of y=1

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Bhagyesh Chaudhari 5 years, 10 months ago

12 - 4x =3y

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Probability kese ko samj nhi a raha hai

Posted by Vipin Yadav 5 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Mortal Combat 5 years, 10 months ago

man laga ke par aa jae ga

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Shivam Upadhyay 5 years, 10 months ago

y-2=0

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What is the TSA of right circular cylinder

Posted by Saksham Chugh 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Tanisha Garg 5 years, 10 months ago

(2πr)^2 *h

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Find the value of k if,(x+3) is a factor of 3x^2+kx+6

Posted by Kittu Chauhan 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Shivam Shukla 5 years, 10 months ago

-6

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8888+569

Posted by Rupa Debbarma 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Saksham Chugh 5 years, 10 months ago

9457

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How to justify our construction

Posted by Vimal Agrawal 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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In square ABCD, if AC=12cm , then ar(ABCD)=______ cm square

Posted by Parag Mahajan 5 years, 10 months ago

CBSE > Class 09 > Mathematics

6 answers

Kanika Sharma 5 years, 10 months ago

How the answer is 144 cm square

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Kanika Sharma 5 years, 10 months ago

Sorry for my mistake 72 cm square is the answer.

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Vishal Rawat 5 years, 10 months ago

144

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Saksham Chugh 5 years, 10 months ago

144cm

1Thank You

Kanika Sharma 5 years, 10 months ago

If ABCD is a square We know that diagonals of a square perpendicularlly bisect each other and are equal So if Ac=12cm Then bd =12cm And od=1\2 bd , oa =1\2ac So od =6cm ,oa=6cm Then in right triangle AOD By using Pythagoras theorem (Ad)2=(oa)2+(od)2 (Ad)2= (6)2+(6)2 Please solve this problem ahead As my keyboard has no root symbol. The answer will be under root 72 cm square. ☺☺

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Aaditya Pathak 5 years, 10 months ago

144cm

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(a+b) whole squre

Posted by Anshu Goutam 5 years, 10 months ago

CBSE > Class 09 > Mathematics

3 answers

Nikhil B 5 years, 10 months ago

(a+b)^2=a^2+2ab+b^2

1Thank You

Shivam Shukla 5 years, 10 months ago

A² + b²+2ab

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Aaditya Pathak 5 years, 10 months ago

(a+b)^2=a^2+b^2+2ab

1Thank You

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In ? PQR, PA is the bisector of angle A PM is the perpendicular to line QR angle Q> angle R

Posted by Girish Ku 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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X +1÷×= under root 3 prove that x 6 =_1

Posted by Brikesh Kumar 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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Construct a triangle ABC, in which angleB =60 degree ,angel C = 45degree and AB+BC+CA =11cm

Posted by Monster Ayush 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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X+1 and x-1 are factors 9f ax3 + x2-2x+b.find a and b.

Posted by Debashis Patra 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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If x²+y²=49 and x-y=3 then find the value of x³-y³?

Posted by Vinayak Khandelwal 5 years, 10 months ago

CBSE > Class 09 > Mathematics

0 answers

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The following number of goals were scored by a team in a series of 10 matches : 2,3,4,5,0,1,3,3,4,3, find the mean median and mode of these scores

Posted by शिवम चौहान 5 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Saksham Chugh 5 years, 10 months ago

mean = 2.8 median = 3 mode = 3

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Shubhangi Yadav 5 years, 10 months ago

Mean = x = 2+3+4+5+0+1+3+3+4+3÷10 =28÷10 =2.8 Median = 0,1,2,3,3,3,3,4,4,5 = 1÷2 (10÷ 2 +10 + 1 ÷ 2 ) = 1÷2 (5 observation + 3 observation) = 1÷2 ( 3+3 ) =1÷2 (6) = 6÷2 = 3 Mode = 3 (because here observation 3 comes maximum times)

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If x-1*x=7 then find the value of xcube-1*xcube

Posted by Rakesh Sharma 5 years, 10 months ago

CBSE > Class 09 > Mathematics