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Construct an angle 90 dgree at the initial point of a given ray amd justify tne construction

Posted by Sudarshan Reddy 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 4 years ago

The steps of construction to follow:

Step 1: Draw a ray OP.

Then, take O as the centre and any radius draw an arc cutting OP at Q.

Step 2: Now, taking Q as the centre and with the same radius as before draw an arc cutting the previous arc at R. Repeat the process with R to cut the previous arc at S.

Step 3: Take R and S as centre draw the arc of radius more than the half of RS and draw two arcs intersecting at A. Then, join OA.

Hence, $\angle POA = 90^{\circ }$ .

Justification:

We need to justify, $\angle POA = 90^{\circ }$

So, join OR and OS and RQ. we obtain

By construction OQ = OS = QR.

So, $\triangle ROQ$ is an equilateral triangle. Similarly $\triangle SOR$ is an equilateral triangle.

So, $\angle SOR = 60^{\circ}$

Now, $\angle ROQ = 60^{\circ}$ that means $\angle ROP = 60^{\circ}$ .

Then, join AS and AR:

Now, in triangles OSA and ORA:

$SR = SR$ (common)

$AS = AR$ (Radii of same arcs)

$OS = OR$ (radii of the same arcs)

So, $\angle SOA = \angle ROA = \frac{1}{2}\angle SOR$

Therefore, $\angle ROA = 30^{\circ}$

and $\angle POA = \angle ROA+\angle POR = 30^{\circ} +60^{\circ} =90^{\circ}$

Hence, justified.

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What is the sum of all natural numbers?

Posted by Aniket Yadav 4 years ago

CBSE > Class 09 > Mathematics

3 answers

Nitin Tripathi 4 years ago

Infinite

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Rahul Kumar 4 years ago

Can you imagine how many people are there in whole world same

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Kiran Barthwal 4 years ago

Infinity

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(3/2y-1)=y+5

Posted by Parvathy Roshan 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Vikramdeep Singh Sekhon 4 years ago

3/2y-1 = y+5 3=(y+5) (2y-1) 3=y(2y-1)+5(2y-1) 3=3y-y+10y-5 3+5=12y 8=12y y=8/12 y=2/3

2Thank You

Parvathy Roshan 4 years ago

Hlo do anyone know this?☺️

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If the points (-3,a) and (b,4) lie on straight line with equation y=4x find a and b

Posted by Bhumika Mittal 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Kiran Barthwal 4 years ago

1) y = 4x Put x = -3 and y = a a= 4 ( -3) a = - 12 2) y = 4x Put x = b and y = 4 4 = 4 b b= 4/4 = 1

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Yogita Ingle 4 years ago

1) y = 4x

Put x = -3 and y = a

a= 4 ( -3)

a = - 12

2) y = 4x

Put x = b and y = 4

4 = 4 b

b= 4/4 = 1

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ANSWER

What is value of x

Posted by Saloni Dixit 4 years ago

CBSE > Class 09 > Mathematics

4 answers

Pooja Singh 4 years ago

'x' Is a variable

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Jayant Chaidhary 4 years ago

X is a variable

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Tejas Agalve 4 years ago

X IS A VARIABLES

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Mishika Pandey 4 years ago

Senseless questions mat dala karo

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6+ 10to the power -2 change in decimal

Posted by Ayush Kumar Sinha 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Anushka Agarwal 4 years ago

6+(10)-² =6+1/10² =6+1/100 =(600+1)/100 =601/100 =6.01 Ans.. Hope it helps:)

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Ayush Kumar Sinha 4 years ago

Help

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find 2 irrational numbers between 3/2 and 5/3

Posted by Vaibhav Pandey 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Balaji .B 4 years ago

Thank

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Ayush Kumar Sinha 4 years ago

Take the LCM b/w 2 and 3 then multiply it by the answer and you'll get the answer

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Find 4 rational no. between 3/7 & 5/7 Find 5 rational no. between 3/5 & 2/3

Posted by Anshika Kumari 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Bhumi Singh 4 years ago

five rational no are 91/100,92/100,93/100,94/100,95/100

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Bhumi Singh 4 years ago

four rational no are 31/7 ,32/7,33/7,34/7

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ANSWER

Find a rational no. between 1.3 & 1.4

Posted by Anshika Kumari 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Tejas Agalve 4 years ago

1.34

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Factorise:- 64a^3 + 27b^3 − 144a^b + 108ab^2

Posted by Utkarsh Dhiman 4 years ago

CBSE > Class 09 > Mathematics

4 answers

Bhumi Singh 4 years ago

answer is( 4a-3b)^3

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Param Goswami 4 years ago

Then answer would be (4a - 3b)^3

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Param Goswami 4 years ago

It should be 64a^3 - 27b^3 - 144a^b + 108ab^2

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Param Goswami 4 years ago

Wrong question

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Real numbers chapter ex. 1.1

Posted by Pentam Santhoshini 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 3 years, 11 months ago

1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0?

Solution:

We know that, a number is said to be rational if it can be written in the form p/q , where p and q are integers and q ≠ 0.

Taking the case of ‘0’,

Zero can be written in the form 0/1, 0/2, 0/3 … as well as , 0/1, 0/2, 0/3 ..

Since it satisfies the necessary condition, we can conclude that 0 can be written in the p/q form, where q can either be positive or negative number.

Hence, 0 is a rational number.

2. Find six rational numbers between 3 and 4.

Solution:

There are infinite rational numbers between 3 and 4.

As we have to find 6 rational numbers between 3 and 4, we will multiply both the numbers, 3 and 4, with 6+1 = 7 (or any number greater than 6)

i.e., 3 × (7/7) = 21/7

and, 4 × (7/7) = 28/7. The numbers in between 21/7 and 28/7 will be rational and will fall between 3 and 4.

Hence, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 are the 6 rational numbers between 3 and 4.

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How can represent 8/5

Posted by Anshika Kumari 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Kanika Kanika 4 years ago

Draw a line and divide that line into eight . And between 0-1, 1-2etc make five division on both the sides of the line. Just counts the line from the line just drawn after 0 till in the lines you get 8/5. And mark it

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Classify numbers as rational or irrational . give reason 3.040040004

Posted by Kaushal Sharma 4 years ago

CBSE > Class 09 > Mathematics

2 answers

꧁╾━╤デ╦︻ ℛ??????࿐ 4 years ago

Rational as it is terminating

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Pawan Gupta 4 years ago

3.040040004 is rational as it is of the form p/q (Here p=3.040040004 q=1) q≠0 and p and q are also integers.

1Thank You

ANSWER

2(54)

Posted by Sibani Attaka 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Anushka Agarwal 4 years ago

108

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Aashvi K 4 years ago

102

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The coefficient of x² in the polynomial p(x) = 5x²-a(3x²+5)+4 *

Posted by Netrapal Singh Shaktawat 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Shaleen Chauhan 4 years ago

5 or 3

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I.Multiple Choice Questions: 1.Every integers are *

Posted by Netrapal Singh Shaktawat 4 years ago

CBSE > Class 09 > Mathematics

5 answers

Kiran Barthwal 4 years ago

Rational number

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Gayatri Anne 4 years ago

Rational

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Bhumi Singh 4 years ago

rational number

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Kamakshi Pandey 4 years ago

Rational number

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Prachi Sethi 4 years ago

https://youtu.be/0pJVD5j6foA Like and share plz

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ANSWER

64 1/2

Posted by Yashika Tripathi 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Yashika Tripathi 4 years ago

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The mirror image of point (-2,3) in x-axis is

Posted by Netrapal Singh Shaktawat 4 years ago

CBSE > Class 09 > Mathematics

2 answers

Kiran Barthwal 4 years ago

(2, -3)

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Gaurav Seth 4 years ago

To find the co-ordinates in the adjoining figure, x-axis represents the plain mirror. M is the point in the rectangular axes in the first quadrant whose co-ordinates are (h, k).

When point M is reflected in x-axis, the image M’ is formed in the fourth quadrant whose co-ordinates are (h, -k). Thus we conclude that when a point is reflected in x-axis, then the x-co-ordinate remains same, but the y-co-ordinate becomes negative.

Thus, the image of point M (h, k) is M' (h, -k).

Therefore answer is (2,-3)

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How will you describe the position of a table lamp on your study table to person

Posted by K.Sandeep Kranti 4 years, 1 month ago

CBSE > Class 09 > Mathematics

4 answers

Kiran Barthwal 4 years ago

To describe the position of a table lamp on the study table, we have two take two lines, a perpendicular and horizontal. Considering the table as a plane and taking the perpendicular line as Y axis and horizontal as X axis. Take one corner of the table as origin where both X and Yaxes intersect each other. Now, the length of the table is Y axis and breadth is Xaxis. From the origin, join the line to the lamp and mark a point. Calculate the distance of this point from both X and Y axes and then write it in terms of coordinates. Let the distance of a point from X axis is x and from Y axis is y then the position of the table lamp in terms of coordinates is (x,y).

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Anushka Agarwal 4 years ago

Let us consider the lamp on the table as a point and the table as a plane. From the figure, we can conclude that the table is rectangular in shape, when observed from the top. The table has a short edge and a long edge. Let us measure the distance of the lamp from the shorter edge and the longer edge. Let us assume that the distance of the lamp from the shorter edge is 15 cm and from the longer edge, its 25 cm. Therefore, we can conclude that the position of the lamp on the table can be described in two ways depending on the order of the axes as.

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Ananya K 4 years ago

To describe the position of a table lamp placed on the table, let us consider the table lamp as P and the table as a plane. ... Thus, the position of the table lamp P is described by the ordered pair (a, b). 2. (Street Plan): A city has two main roads which cross each other at the centre of the city.

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꧁╾━╤デ╦︻ ℛ??????࿐ 4 years, 1 month ago

Ans. To describe the position of a table lamp placed on the table, let us consider the table lamp as P and the table as a plane. Now choose two perpendicular edge of the table as the axes OX and OY. Measure the perpendicular distance ‘a’ cm of the lamp from OY. Measure the perpendicular distance ‘b’ cm of P (lamp) from OX. Thus, the position of the table lamp P is described by the ordered pair (a, b).

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If 3x+64=26+(√3)8 , then the value of ‘x’ is ?

Posted by Komal Tank 4 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Anushka Agarwal 4 years ago

x=-(38-8√3)/3

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How many zero does a zero polynomial have ??

Posted by Udita Singh 4 years, 1 month ago

CBSE > Class 09 > Mathematics

4 answers

Kiran Barthwal 4 years ago

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Ananya K 4 years ago

Zeros of a polynomial can be defined as the points where the polynomial becomes zero on the whole. A polynomial having value zero (0) is called zero polynomial of the form p(x) = 0. Any value of x can be a zero of a zero polynomial.

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🖤 🖤 4 years, 1 month ago

Zero

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Shrimant Naikwade 4 years, 1 month ago

Sets

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Find 4 rational number between -2 and 5

Posted by Vartika Pandey 4 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Parmanand Kumar 4 years, 1 month ago

-1,0,1,2,3

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Sakshi Kumari 4 years, 1 month ago

We can find rational number between any numbers as by the formula: d=y-x/n+1 Here y is 5 and x is -2 N means 4 Now, 5-(-2)/4+1= 7/5 So, d=7/5 (d+X), (d+2x), (d+3x), and (d+4x)

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The legth of sides of triangle are 5x,5x and 8x find the area of triangle

Posted by Shine Shimmer 4 years, 1 month ago

CBSE > Class 09 > Mathematics