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Two opposite vertices of a square (-1,2) and (3,2). Find the coordinate of remaining vertices.

Posted by Aadya Singh 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 5 years, 8 months ago

Let ABCD be a square and B (x, y) be the unknown vertex.
AB = BC
$\Rightarrow$ AB² = BC²

$\Rightarrow$ (x + 1)² + (y - 2)² = (x - 3)² + (y - 2)²
$\Rightarrow$ x² + 1 + 2x + y² + 4 - 4x = x² - 6x + 9 + y² + 4 - 4x
$\Rightarrow$ 2x + 1 = - 6x + 9
$\Rightarrow$ 8x = 8
$\Rightarrow$ x = 1 ........ (i)
In $\triangle$ ABC, AB² + BC² = AC²
$\Rightarrow$ (x + 1)² + (y - 2)² + (x - 3)² + (y - 2)² = (3 + 1)² + (2 - 2)²
$\Rightarrow$ x² + 1 + 2x + y² - 4x + 4 + x² + 9 - 6x + y² + 4 - 2y = 16 + 0
$\Rightarrow$ 2x² + 2y² + 2x - 4y - 6x - 4y + 1 + 4 + 9 + 4 = 16
$\Rightarrow$ 2x² + 2y² - 4x - 8y + 2 = 0
$\Rightarrow$ x² + y² - 2x - 4y + 1 = 0 ..... (ii)
Putting the value of x in eq. (ii),
1 + y² - 2 - 4y + 1 = 0
$\Rightarrow$ y² - 4y = 0
$\Rightarrow$ y(y - 4) = 0
$\Rightarrow$ y = 0 or 4
Hence the other vertices are (1, 0) and (1, 4).

ANSWER

Trignometry 9chapter 11question i need answer

Posted by Jerlin Christy 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Sin18°/cos72° evaluate this.

Posted by Suniksha Bhatia 5 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Sia ? 5 years, 9 months ago

Sin 18/cos72 cos(90-72)/cos72
Cos72/sin72=1
Tan26/tan(90-74)=1
Cos48-sin42=sin(90-42)-sin42=0
Cosec31-Cosec(90-69) Cose31-Cosec31=0

Tanisha Yadav 5 years, 9 months ago

Sin theata = cos (90 - theata) So, Sin 18° =cos (90°- 18°) =cos 72° Cos 72°/cos72° =1

ANSWER

Given seco=13/12, calculate all trigonometrc ratios.

Posted by Suniksha Bhatia 5 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Sia ? 5 years, 9 months ago

Consider a triangle ABC in which $\angle A = \theta$ and $\angle B = {90^o}$

Let AB = 12k and AC = 13k
Then, using Pythagoras theorem,
$BC=\sqrt { ( \mathrm { AC } ) ^ { 2 } - ( \mathrm { AB } ) ^ { 2 } } = \sqrt { ( 13 k ) ^ { 2 } - ( 12 k ) ^ { 2 } }$
$= \sqrt { 169 k ^ { 2 } - 144 k ^ { 2 } } = \sqrt { 25 k ^ { 2 } } = 5 k$
$\therefore$ $\sin \theta = \frac { B C } { A C } = \frac { 5 k } { 13 k } = \frac { 5 } { 13 }$
$\cos \theta = \frac { A B } { A C } = \frac { 12 k } { 13 k } = \frac { 12 } { 13 } \tan \theta = \frac { B C } { A B } = \frac { 5 k } { 12 k } = \frac { 5 } { 12 }$
$\cot \theta = \frac { A B } { B C } = \frac { 12 k } { 5 k } = \frac { 12 } { 5 } \cos e c \theta = \frac { A C } { B C } = \frac { 13 k } { 5 k } = \frac { 13 } { 5 }$

Tanisha Yadav 5 years, 9 months ago

Sec theata = hypotenuse/ base So, base =12 Hypotenuse=13 Prependicular =√( hypotenuse)2 - ( base)2 √(13)2-(12)2=√169-144=√25 =5 Sin theata =P/H =5/13 Cos theata=B/H =12/13 Tan theata=P/B =5/12 Cot theata=B/P =12/5 Cosec theata= H/P = 13 /5

Anshuman Singh Chouhan 5 years, 9 months ago

SecA=H/B, Here secA=13/12 So, H=13 and B=12 We know that, P2=H2-B2 P2=164-144 P2=25 P=5 Now, All trignometric ratios SinA=P/H=5/13 CosA=B/H=12/13 TanA=P/B=5/12 CosecA=H/P=13/5 CotA=B/P=12/5

ANSWER

7 years ago Sparsh's age was five times the square of the age of Arya. 3 years hence, age of Arya will be two-fifth of Sparsh. Find their present ages.

Posted by Anna Shivani 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 5 years, 9 months ago

Let seven years ago arya's age be x years.
As per given condition
Seven years ago sparsh's age was five times the square of arya's age.
Then, seven years ago sparsh's age was 5x² years.
Therefore, arya's present age = (x + 7) years
And sparsh's present age = (5x² + 7) years
Three years hence arya's age = (x + 7 + 3) years = (x + 10) years
And three years hence sparsh's age = (5x² + 7 + 3) years = (5x² + 10) years
As per given condition
Three years hence arya's age will be $\frac{2}{5}$ of sparsh's age.
Therefore, x + 10 = $\frac{2}{5}$ (5x² + 10)
$\Rightarrow$ x + 10 = 2(x² + 2)
$\Rightarrow$ x + 10 = 2x² + 4
$\Rightarrow$ 2x² - x - 6 = 0
$\Rightarrow$ 2x² - 4x + 3x - 6 = 0
$\Rightarrow$ 2 x ( x - 2 ) + 3 ( x - 2 ) = 0
$\Rightarrow$ (2x + 3) (x - 2) = 0
$\Rightarrow$ x - 2 = 0 [ $\because$ 2x + 3 $\neq$ 0 as x > 0]
$\Rightarrow$ x = 2
Hence, arya's present age = (2 + 7) years = 9 years
sparsh's present age = (5 $\times$ 2² + 7) years = 27 years

ANSWER

solve x÷a+y÷b=2 , ax+by=a^2+b^2 by cross multilication method

Posted by Md Shadil 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

What must be subtracted from p x is equal to 8 x raise to power 4 + 14 x raise to power 3 minus 2 X raise to power 2 + 7 x minus 8 so that the resulting polynomial is exactly divisible by GS is equal to 4 x square + 3 x minus 2

Posted by Shikshita Naryal 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 5 years, 9 months ago

Here the remainder =6x+2
Therefore, when 6x+2 is subtracted from 8x⁴ + 14x³ + x² + 7x + 8, then it will be divisible by 4x² - 3x + 2.

ANSWER

-+ = -

Posted by Ravi Nishad 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Aishreet ... 5 years, 9 months ago

??

ANSWER

What is the formula of a plus b whole square

Posted by Mama Biki 5 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Adarsh Singh 5 years, 9 months ago

A ka square +B ka square +2AB

Pk . 5 years, 9 months ago

a^2+b^2+2ab

ANSWER

How to make portfolio

Posted by Manoj Kumar 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

1-1001

Posted by Sumit Kumar 5 years, 9 months ago

CBSE > Class 10 > Mathematics

5 answers

Mohamed Razun 5 years, 9 months ago

-1000

Adarsh Singh 5 years, 9 months ago

-1000

Pk . 5 years, 9 months ago

How 5 ???

Pk . 5 years, 9 months ago

-1000

Sumit Kumar 5 years, 9 months ago

5

ANSWER

Why sin value of p/h. perpendicular /hypotnese

Posted by Vishwatman Shukla 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Pk . 5 years, 9 months ago

If you go on Quora digest you got it

ANSWER

Prove that root 2 is a irrational number

Posted by Chhayakshi Chauhan 5 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Adarsh Singh 5 years, 9 months ago

Mere par contact karo i can help you

Ãvîñäßh Sîñghāñìyá 5 years, 9 months ago

Mere email pe contact karo I help you

ANSWER

What is polynomail?

Posted by Sahil Bhai 5 years, 9 months ago

CBSE > Class 10 > Mathematics

4 answers

Fear Fighter 5 years, 9 months ago

Any constant and variables having non -negative degree is called polynomial

Pk . 5 years, 9 months ago

An expression in which constant and variable are joined with sign(+,-,×,÷) is called polynomial????

Manjeet Yadav 5 years, 9 months ago

Is it right

Manjeet Yadav 5 years, 9 months ago

An expression having constant ,variable and degrees .

ANSWER

How can i make my calculation better

Posted by Deepu ?? 5 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Shivam Kumar Sharma 5 years, 9 months ago

Perfect practice makes man perfect So by regular practice you can do it .

Pk . 5 years, 9 months ago

By the regular practice of addition subtraction multiplication division not on the notebook but in mind

ANSWER

Solve the following by quadratic equation : 1 by a + b + 2 x equals to 1 by a + 1 by b plus one by two x

Posted by Shreyas Y R Y R 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

The altitude of a right angle triangle is 7cm less than its base. If the hypotenuse is 13cm , find the other two sides

Posted by Thanmayee A 5 years, 9 months ago

CBSE > Class 10 > Mathematics

5 answers

Adarsh Singh 5 years, 9 months ago

12 and 5

Pk . 5 years, 9 months ago

Base is 12 and altitude is 5

Pk . 5 years, 9 months ago

12 and 5

Deepu ?? 5 years, 9 months ago

Let the base b x then altitude is x-7 Apply pythagoraes theorem

Vishal Bankar 5 years, 9 months ago

Use pythagoraes theorem.

ANSWER

If sum of the zero of the polynomial kysquar +2y-3k is equal to twice their product. Find the value of k

Posted by Anshu Verma 5 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Pk . 5 years, 9 months ago

K = 1/3 bro or sis whatever you are because i had done lot of that type of mistakes

Vishal Bankar 5 years, 9 months ago

Use discriminant to find it the value of k

Pk . 5 years, 9 months ago

1/3

ANSWER

-1.2,-3.2,-5.2,-7.2

Posted by Deva Kashyap 5 years, 9 months ago

CBSE > Class 10 > Mathematics

5 answers

Adarsh Singh 5 years, 9 months ago

It is an AP because the common difference are -2

Anmol Raj 5 years, 9 months ago

This is in AP having the common difference of -2

Kamal Kumar 5 years, 9 months ago

what want to find bo in this question

Pk . 5 years, 9 months ago

The series decreased by 2 rapidly

Pk . 5 years, 9 months ago

What it mean bro

ANSWER

Costheta + sintheta = √2costheta prove that costheta - sintheta = √2sintheta

Posted by Sumit Gautam 5 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Pk . 5 years, 9 months ago

Squaring** Lhs**

Pk . 5 years, 9 months ago

You can prove it by a square ring on both side and then arrange the lhf in the form of cos theta minus sin theta ka whole square

ANSWER

If TanA+SinA=m and, TanA-SinA=n Then, prove that:- m2-n2=4 under root mn

Posted by Anshuman Singh Chouhan 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Pk . 5 years, 9 months ago

Squaring both the equation and then subtract each other with as LHS with LHS and RHS with RHS

ANSWER

How i can improve maths

Posted by Shivendra Singh 5 years, 9 months ago

CBSE > Class 10 > Mathematics

6 answers

Shivendra Singh 5 years, 9 months ago

Thanks

Adarsh Singh 5 years, 9 months ago

Perfect practice makes man perfect so by regular practice you can do it

Deepu ?? 5 years, 9 months ago

By spending more time ? in maths

Madan M 5 years, 9 months ago

Don't solve it simply enjoy it and solve you will improve in maths

Pk . 5 years, 9 months ago

And regular revision of all theorems and its application

Pk . 5 years, 9 months ago

By improving your calculation

ANSWER

In a triangle ABC is a right angled isosceles triangle at B and AC=3BD.prove that AB²/9=AD²/11=AC²/18

Posted by Vishal Malyan 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

8÷4(2+2)=?

Posted by Adarsh Gupta 5 years, 9 months ago

CBSE > Class 10 > Mathematics

8 answers

Adarsh Singh 5 years, 9 months ago

1/2

Deepu ?? 5 years, 9 months ago

I think 8 hoga

Urvashi Dua 5 years, 9 months ago

0.5

Anshuman Singh Chouhan 5 years, 9 months ago

1/2

?Queen #Alone#Weak#Always?? 5 years, 9 months ago

1/2

Pk . 5 years, 9 months ago

1/2 bro, but why you ask such a silly question

Aditya Shrivastvav 5 years, 9 months ago

1/2

Nake Paliwala 5 years, 9 months ago

1/2

ANSWER

Prove that root x+1 - root x-1 is an irrational no.

Posted by Somu Jais 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Let me know to how can i get standard and badic maths questions paper model plz

Posted by Sumithra Ganiga 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

√2x+√3y=0

Posted by Sandeep Jaishwal 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Standard paper model

Posted by Sumithra Ganiga 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Vishal Bankar 5 years, 9 months ago

Khud dhundle mujhe pareshan matkar

ANSWER

Tan70=ta20+2tan50 prove that

Posted by Abhishek Yadav 5 years, 9 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Convert the given table to a cumilative frequency distribution of less than time Weight in kg 0-10 10-20 20- 30 30-40 40-50 50-60 No of students 14 17 22 26 23 16

Posted by Joyce Jodo 5 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 5 years, 9 months ago

The less than type CF table:

<th scope="col">Class range</th> <th scope="col">cf</th>

Less than 10	14
Less than 20	14+17=31
Less than 30	31+22=53
Less than 40	53+26=79
Less than 50	79+23=102
Less than 60	102+16=118

ANSWER

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