CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

PS = 12 cm
As PQ = QR =RS
∴ PQ =QR =RS = 1/3 x PS = 1/3 x 12 = 4 cm.
QS = 2 PQ
QS = 2 x 4 = 8 cm
∴ Area of shaded region = Area of semicircle with PS as diameter + Area of semicircle with PQ as diameter – Area of semicircle with QS as diameter.
= ½ [ 3.14 x 6 2 + 3.14 x 2 2 - 3.14 x 4 2 ]
= ½ [ 3.14 x 36 + 3.14 x 4 – 3.14 x 16 ]
= ½ [ 3.14 ( 36 + 4 – 16)]
= ½ ( 3.14 x 24 ) = ½ x 75.36
∴ Area of shaded region = 37.68 cm²

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Check whether (5,-2),(6,4)and(7,-2)are the vertices of an isoceles triangle

Posted by Arpitha A 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Chandan Kumar 6 years, 4 months ago

√37

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Gaurav Seth 6 years, 4 months ago

Let

A ( 5 , -2)

B (6 , 4)

C ( 7 , -2)

Length of each sides

AB = BC = √37

Hence verified that these vertices are of an isosceles triangles

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ANSWER

Value of cos30

Posted by Raju Sen 6 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Massenger Bhardwaj 6 years, 4 months ago

Root3÷2

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Chandan Kumar 6 years, 4 months ago

√3/2

0Thank You

⛩️Singh Empire? (Believe In Study)✍️???? 6 years, 4 months ago

√3/2

1Thank You

ANSWER

Prove that 5 - √3 is irrational, given that √3 is irrational.

Posted by Urmila Panchal 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 4 months ago

To prove : 5-√3 is irrational

Proof:
Let us assume that 5 -√3 is rational.

Let ,
5 - √3 = r , where "r" is rational

5 - r = √3

Here,
LHS is purely rational.But,on the other hand ,RHS is irrational.
This leads to a contradiction.
Hence,5-√3 is irrational

2Thank You

ANSWER

If 2 is added to the numerator of a fraction it reduces to 1 by 2 and if 1 is subtracted from the denominator IT reduced to 1 by 3 find the fraction

Posted by Kishan Kumar Kumar 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Sahil ??? 6 years, 4 months ago

x=3 and y=10

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Gaurav Seth 6 years, 4 months ago

Let the fraction be x/y

Given that
x+2/y =1/2 -----> equ i
x/y-1 =1/3 -----> equ ii

From i and ii
2(x+2) =1(y) -------> equ i
3(x) =1(y-1) -------> equ ii

=> 2x+4=y
3x=y-1

Subtract i and ii. we get

2x - y = -4
3x - y = -1
(-) (+) = (+)
______________
-x = -3
_____________

=> x=3
subtitute x=3 in equ i. we get

2(3+2)=y
=> 2(5) =y
=> y=10

Therefore the value of x and y are 3 and 10 respectively.

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ANSWER

Yadi cot A = 8 ho to sin A or sec A ka man gyat kijiye

Posted by Shehzad Ansari 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Sahil ??? 6 years, 4 months ago

SinA=1/3 and secA=3/8

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Miss. 1234 6 years, 4 months ago

Can u plz check ur ques. again !!!because I've seen the same ques in ncert book ch-8 exercise-8.1 ques 4 in which " 15cotA =8 " is given.......and you've wrote only cotA =8 in ques...........

2Thank You

ANSWER

The sum of the areas of two squares is 640m square .if the difference of their perimeters is 64m find the slides of the square.

Posted by Jagat Limboo 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Sahil ??? 6 years, 4 months ago

Sides of square are 24 and 8.

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Gaurav Seth 6 years, 4 months ago

Let the side of one square be x

Perimeter of this square = 4x

Given, Difference of perimeter of 2 squares = 64 m

Thus, Perimeter of the other square = (64 + 4x) m

And, each side of this second square = = (16 +x) m

According to the problem, sum of the areas of two squares is 640

Since side of a square cannot be negative, each side of the square = 8 m.

And, each side of second square = (16+8) m = 24 m

1Thank You

ANSWER

How to solve 4x^2+13x-450=0 by splitting the middle term?

Posted by Ss H 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Karnanshu Thakur 6 years, 4 months ago

Can't be done because it has no real roots

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ANSWER

Find x and y if vertices of llgm are (1,2) (4,y) (x,6) (3,5)

Posted by Dilkash Khan 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Rudra Menkudale 6 years, 4 months ago

Here, x=6 and y =3

2Thank You

Gaurav Seth 6 years, 4 months ago

Step-by-step explanation:

Let ABCD is a parallelogram with vertices (1,2) ; (4,y) ; (x,6) ; (3,5) respectively.

As we know that

The mid-points of two diagonals must be same.

So, we will apply "Mid point rule":

Mid point of AC is given by

Mid point of BD is given by

Now, Mid point of AC = Mid point of BD

Hence, The value of x = 6 and y = 3.

2Thank You

ANSWER

Standerd maths mei question kis tarah se aayenge

Posted by Riya Shree Gupta 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 4 months ago

You can get the idea on how the questions will come in board exams:

Click on the below link to get the sample paper issued by CBSE :

Basic paper:

<a href="http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsBasic_SQP.pdf">http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsBasic_SQP.pdf</a>

Standard paper:

<a href="http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsStandard_SQP.pdf">http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsStandard_SQP.pdf</a>

4Thank You

ANSWER

Prove that √2 and -√2 is rational number

Posted by Vishal Kumar 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 4 months ago

Let √2 be a rational number

Therefore, √2= p/q [ p and q are in their least terms i.e., HCF of (p,q)=1 and q ≠ 0

On squaring both sides, we get
p²= 2q² ...(1)
Clearly, 2 is a factor of 2q²
⇒ 2 is a factor of p² [since, 2q²=p²]
⇒ 2 is a factor of p

Let p =2 m for all m ( where m is a positive integer)

Squaring both sides, we get
            p²= 4 m²                                                                                          ...(2)
From (1) and (2), we get
           2q² = 4m²      ⇒      q²= 2m²
Clearly, 2 is a factor of 2m²
⇒       2 is a factor of q²                                                      [since, q² = 2m²]
⇒       2 is a factor of q

Thus, we see that both p and q have common factor 2 which is a contradiction that H.C.F. of (p,q)= 1

Therefore, Our supposition is wrong

Hence √2 is not a rational number i.e., irrational number.

2Thank You

ANSWER

Basic maths me sbse jyada question kis chapter se aayenge?

Posted by ? ... 6 years, 4 months ago

CBSE > Class 10 > Mathematics

4 answers

Gaurav Seth 6 years, 4 months ago

You can get the idea on how the questions will come in board exams:

Click on the below link to get the sample paper issued by CBSE :

Basic paper:

<a href="http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsBasic_SQP.pdf">http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsBasic_SQP.pdf</a>

Standard paper:

<a href="http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsStandard_SQP.pdf">http://cbseacademic.nic.in/web_material/SQP/ClassX_2019_20/MathematicsStandard_SQP.pdf</a>

2Thank You

Salik Shabab 6 years, 4 months ago

Trigonometery se 12 marks ka question aayega

1Thank You

Dhiraj Kumar 6 years, 4 months ago

There is very least difference between basic and standard you will not get any long questions in basic else everything is same

2Thank You

Salik Shabab 6 years, 4 months ago

Ncert book

2Thank You

ANSWER

An aeroplane went 3000m high passes vertically above another at an instant when their angles of elevation at the same observing point are 45° and 60° respectively. how many meters lower is the one than the other