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  • 1 answers

Yogita Ingle 4 years, 8 months ago

Let O (x, y) is the point of the circle

if three given points A (3,-7) B (3,3) and C (6,-6)

we know distance between circumference and center is always same. i.e radius .

now,

{tex}OA^2=OB^2=OC^2{/tex}

{tex}OA^2=OB^2{/tex}

{tex}=>(x-3)^2+(y+7)^2=(x-3)^2+(y-3)^2{/tex}

{tex}=>(x-3)^2-(x-3)^2=(y-3)^2-(y+7)^2{/tex}
{tex} => 0=(2y+4)(3){/tex}

{tex}=> y= -2{/tex}

now again ,

{tex}OB^2=OC^2{/tex}

{tex}(x-3)^2+(y-3)^2=(x-6)^2+(y+6)^2{/tex}

put y=-2

{tex}=>(x-3)^2+(-2-3)^2=(x-6)^2+(-2+6)^2{/tex}

{tex}=>(x-3)^2-(x-6)^2=16-25{/tex}

{tex}=>(2x-9)(3)=-9{/tex}

{tex}=> 2x= -3+9=6{/tex}

=> x=3

hence center co-ordinate is (3,-2)

  • 3 answers

Malaika Sharma 4 years, 8 months ago

Euclid's Division Lemma is not a part of our syllabus.As per the 30%reduced syllabus by CBSE

Sunny Ghorriwal 4 years, 8 months ago

No

Sumesh ☺️☺️☺️ 4 years, 8 months ago

No
  • 5 answers

Kunwar Dev Singh 4 years, 8 months ago

4 unit

Yogita Ingle 4 years, 8 months ago

When we are asked to calculate the distance between a point and any of the axes, we calculate the perpendicular distance between them.

Therefore, the point (-3,-4) is 3 units away from the y-axis and 4 units from the x-axis. This is because in case of either axes the co-ordinate of the other axis is zero.

Therefore the distance between the point P(-3,-4) and x-axis is 4 units.

Divanshu Rawat 4 years, 8 months ago

For x axis our point x2=-3 & y2=0 D=√[-3-(-3)]^2. + [0-(-4)]^2 =√(0)^2. + (4)^2 =√16 D=4 unit

Ansh Sharma 4 years, 8 months ago

For x axis our point x2=-3 & y2=0 D=√[-3-(-3)]^2. + [0-(-4)]^2 =√(0)^2. + (4)^2 =√16 D=4 unit

Ishan Kumar 4 years, 8 months ago

4
  • 5 answers

Gourav Yadav 4 years, 8 months ago

Hi

Gourav Yadav 4 years, 8 months ago

Fbgne

Tanu Choudhary # 4 years, 8 months ago

Hi yogita thanks for your solution I have miscalculated the value of x and m

Tanu Choudhary # 4 years, 8 months ago

By using elimination method we can easily get y=5, x=1/3, m=6

Yogita Ingle 4 years, 8 months ago

Given equations are 

2x+3y=11−−−−(1)

2x−4y=−24−−−−(2)

Form (1)

2x+3y=11 

⇒2x=11−3y

⇒x=211−3y​−−−(3)

substituting  x in(2)

2x−4y=−24 

⇒2(211−3y​)−4y=−24

⇒11−3y−4y=−24

⇒11−7y=−24

⇒7y=35

⇒y=35/7

⇒y=5.

putting  y = 5 in (3) 

x=[11−3(5)​]/2

⇒x=[11−15​]/2

⇒x=−4/2

∴x=−2.

Hence x = -2 and y = 5 is the solution of the 

equation.

Now, we have to find m

y=mx+3                                  ∴m=−1

5=3(−2)+3

5−3=−2m⇒−2m=2

⇒m=−2/x=−1

  • 1 answers

Sia ? 4 years, 3 months ago

Please ask question with complete information.

  • 1 answers

Kiran Kumari 4 years, 8 months ago

A=root 7 D=root 7 Hence the next A.p is root 112
  • 0 answers
  • 2 answers

Divanshu Rawat 4 years, 8 months ago

Let x be the number of correct answers and y be the number of wrong answers. Since Jayanti answered 120 questions therefore, x+y=120 that is x=120−y..........(1)  Also, it is given that one mark is awarded for each correct answer while  1/2​ mark is deducted for every wrong answer and Jayanti got 90 marks, therefore, x−0.5y=90..........(2) Substituting the value of equation 1 in equation 2: 120−y−0.5y=90 −1.5y=−30 y=20 Therefore,  x=120−20=100 Hence, she answered 100 questions correctly.

Yogita Ingle 4 years, 8 months ago

Let x be the number of correct answers and y be the number of wrong answers.

Since Jayanti answered 120 questions therefore, x+y=120 that is x=120−y..........(1) 

Also, it is given that one mark is awarded for each correct answer while  1/2​ mark is deducted for every wrong answer and Jayanti got 90 marks, therefore,

x−0.5y=90..........(2)

Substituting the value of equation 1 in equation 2:

120−y−0.5y=90

−1.5y=−30

y=20

Therefore, 

x=120−20=100

Hence, she answered 100 questions correctly.

  • 2 answers

King?Adithya H. M.. 4 years, 8 months ago

Prakash 13:33 Hey, glad to know that you're learning from BYJU'S. For more help you may chat here. Student 13:33 If the zeros of the polynomial f(x)= x^3-3x^2+x+1 are (a-b), a and (a+b), find a & b. Read New message Prakash 13:34 Kindly allow me a minute or two to check for relevant answers to your question. Please be online. Prakash 13:35 ANSWER a−b,a,a+b are zeroes of x 3 −3x 2 +x+1 ⇒a−b+a+a+b= sum of zeroes = 3 ⇒3a=3 ⇒a=1 (a−b)(a)(a+b)= product of zeroes =−1 ⇒(1−b)(1+b)=−1 ⇒1−b 2 =−1 ⇒b 2 =2 ⇒b=± 2 ​

Gaurav Seth 4 years, 8 months ago

sum of the zeroes = (a-b) + (a+b) + a = 3a i.e. 3a = - b/a

                                                                       or  3a=3

                                                                       or  a=1

product of the zeroes = (a-b)*(a+b)*a= a3-ab2  i.e. 1 - b2 = c/a      (by putting the value a=1)

                                                                                     or b2 =2

                                                                                     or b = +-root2

  • 2 answers

Divanshu Rawat 4 years, 8 months ago

2.59807621135

King?Adithya H. M.. 4 years, 8 months ago

-2.59807621135
  • 5 answers

Misty Chan 4 years, 8 months ago

Thank you all!!!

Sunny Ghorriwal 4 years, 8 months ago

Nhi question 15 to 20 delete ho gay

Ff_Girl Tannu 4 years, 8 months ago

Yup Q 15 to Q 20 is deleted from arithmetic

Gaurav Seth 4 years, 8 months ago

CBSE Class 10 Mathematics (041) - Deleted portion:

UNIT I-NUMBER SYSTEMS

           Chapter

Topics

REAL NUMBERS

Euclid’s division lemma

UNIT II-ALGEBRA

           Chapter

Topics

POLYNOMIALS

Statement and simple problems on division algorithm for polynomials with real coefficients.

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

cross multiplication method

QUADRATIC EQUATIONS

Situational problems based on equations reducible to quadratic equations

ARITHMETIC PROGRESSIONS

Application in solving daily life problems based on sum to n terms

UNIT III-COORDINATE GEOMETRY

           Chapter

Topics

COORDINATE GEOMETRY

Area of a triangle

UNIT IV-GEOMETRY

           Chapter

Topics

TRIANGLES

Proof of the following theorems are deleted  

· The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.  

· In a triangle, if the square on one side is equal to sumof the squares on the other two sides, the angle opposite to the first side is a right angle.

CIRCLES

No Deletion

CONSTRUCTIONS

Construction of a triangle similar to a given triangle.

UNIT V- TRIGONOMETRY

 

           Chapter

Topics

INTRODUCTION TO TRIGONOMETRY

Motivate the ratios whichever are defined at 0o and 90o

TRIGONOMETRIC IDENTITIES

Trigonometric ratios of complementary angles

HEIGHTS AND DISTANCES

No deletion

UNIT VI-MENSURATION

 

AREAS RELATED TO CIRCLES

Problems on central angle of 120°

SURFACE AREAS AND VOLUMES

Frustum of a cone

UNIT VI-STATISTICS & PROBABILITY

           Chapter

Topics

STATISTICS

· Step deviation Method for finding the mean  

· Cumulative Frequency graph

PROBABILITY

No deletion

Misty Chan 4 years, 8 months ago

Pls answer
  • 1 answers

Yogita Ingle 4 years, 8 months ago

=> 4x²- 9 = 0
=> 4x² = 9
=> x² = 9/4
=> x = ± ⅔

  • 2 answers

Mayank Singhal 4 years, 8 months ago

So be focus on the base of your study of maths. Case study is based on that .

Mayank Singhal 4 years, 8 months ago

A lot of questions they ask from you but based on the basic material which you had studied ...
  • 2 answers

Yogita Ingle 4 years, 8 months ago

Letus assume that 3 + 2√5 is a rational number.

Soit can be written in the form a/b
3 + 2√5 = a/b
Here a and b are coprime numbers and b ≠ 0
Solving3 + 2√5 = a/b we get,
=>2√5 = a/b – 3
=>2√5 = (a-3b)/b
=>√5 = (a-3b)/2b
This shows (a-3b)/2b is a rational number. But we know that But √5 is an irrational number.

so it contradictsour assumption.

Our assumption of3 + 2√5 is a rational number is incorrect.
3 + 2√5 is an irrational number

Hence proved

Logeshwari Lokeshwari.D 4 years, 8 months ago

Our Assumation is wrong, it's irrational numbers.
  • 0 answers
  • 2 answers

Tanu Choudhary # 4 years, 8 months ago

Yogita Ingle thanku for typing so much but the fact is that I wanted to ask about the development which you have already answered but in my mind there is modem so I miss intendedly typed modem

Yogita Ingle 4 years, 8 months ago

A modem is a hardware device which means modulator-demodulator.

modems are used to transfer data from one computer network to another computer network through telephone lines.

the computer network works in digital mode, while analog technology is used for carrying messages across phone lines.

the modulator converts information from digital mode to analog mode at the transmitting end and demodulator converts the same from analog to digital at receiving end.

  • 4 answers

Ujjawal Mittal 4 years, 8 months ago

Thetha is an assuming symbol like x alphbet it has not its own value

Mayank Singhal 4 years, 8 months ago

Value of tita is depend upon the given numerical ..

Tanu Choudhary # 4 years, 8 months ago

He is asking about tita not tan tita

Addology Master 4 years, 8 months ago

Value of tita is perpendicular upon base
  • 1 answers

Tanu Choudhary # 4 years, 8 months ago

What is this? You can ° rather than writing degree
  • 2 answers

Mayank Singhal 4 years, 8 months ago

No. of zeroes is equal to the no. of points cut at x . axis .

Tanu Choudhary # 4 years, 8 months ago

Just see how many times does the line intersects with x axis
  • 3 answers

Kajal Kansal 4 years, 8 months ago

Cos A

Mayank Singhal 4 years, 8 months ago

cos A because cos A and sinA are complementary angles of each other .

Zeeshan Ali 4 years, 8 months ago

COS A
  • 3 answers

Mayank Singhal 4 years, 8 months ago

Collinear means they all are lie in the same line means in the straight lines .

Niral Dharawat 4 years, 8 months ago

Points that follow, to form a straight line are collinear points. Their relation is like:- AB+BC=AC Any 2 parts of the line together make a straight line.

Zeeshan Ali 4 years, 8 months ago

A point that lies on another point
  • 1 answers

Yogita Ingle 4 years, 8 months ago

Given that, the point P(2,1) lies on the line segment joining the points A(4,2) and 8(8, 4), which shows in the figure below: 

  • 1 answers

Yogita Ingle 4 years, 8 months ago

Here a=2,n=100

And d=7−2=5

Sn​= n/2 ​[2a+(n−1)d]

S100 ​=  100/2 ​[2(2)+(100−1)5] 

= 50[4 + 495 ]

= 50(499)

=24950

  • 2 answers

Himanshu Yadav 4 years, 8 months ago

No solution

Yogita Ingle 4 years, 8 months ago

The conditions for each of the solutions is given by;

  • If , then there is a unique solution for the pair of linear equations.
  • If , then there are infinitely many solutions for the pair of linear equations.
  • If , then there is no solution for the pair of linear equations.

 

So, according to our question;

 

SO, 

Here, the third condition is satisfying that;   which means .

Therefore, the given pair of linear equations has no solution.

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