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solve the following yaier of linean equations gecaptically: 3x + y - 11 =0; x-y-1=0 Shade the region bound by these lines and the y axis

Posted by Darika S 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 4 years, 4 months ago

On a graph paper, draw a horizontal line XOX' and a vertical line YOY' as the x-axis and they-axis respectively.
{tex}3x + y - 11 = 0{/tex} {tex}\Rightarrow{/tex}{tex}y = (11 -3x){/tex}. ...(i)
Putting {tex}x = 2{/tex} in (i), we get {tex}y = 5{/tex}.
Putting {tex}x = 3{/tex} in (i), we get {tex}y = 2{/tex}.
Putting {tex}x = 5{/tex} in (i), we get {tex}y = -4{/tex}.

x	2	3	5
y	5	2	-4

On the graph paper, plot the points {tex}A (2, 5), B(3, 2)\ and\ C(5, -4).{/tex}
Join AB and BC to get the graph line ABC.
Thus, the line ABC is the graph of the equation {tex}3x + y - 11 = 0{/tex}.
{tex}x - y - 1 = 0{/tex} {tex}\Rightarrow{/tex}{tex}y = (x - 1){/tex} . ...(ii)
Putting {tex}x = -3{/tex} in (ii), we get {tex}y = -4{/tex}.
Putting {tex}x = 0{/tex} in (ii), we get {tex}y = -1{/tex}.
Putting {tex}x = 3{/tex} in (ii), we get {tex}y = 2{/tex}.

x	-3	0	3
y	-4	-1	2

On the same graph paper as above, plot the points {tex}P(-3, -4)\ and\ Q(0, -1){/tex}. The third point {tex}B(3,2){/tex} is already plotted.
Join PQ and QB to get the graph line PQB.
Thus, line PQB is the graph of the equation {tex}x - y - 1 = 0{/tex}.
The two graph lines intersect at the point {tex}B(3,2){/tex}. {tex}x = 3, y = 2{/tex} is the solution of the given system of equations.
The region bounded by these lines and the y-axis has been shaded.

On extending the graph lines on both sides, we find that these graph lines intersect the y-axis at the points Q(0, -1) and R(0,11).

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In ∆ ABC if angled B=90°,BC=7cm and(AC-AB)=1cm Find the value of (cot A+cos D

Posted by Aditya Anand 4 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Preeti Dabral 4 years, 4 months ago

1Thank You

Aditya Anand 4 years, 4 months ago

Good

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How many cone in traingle

Posted by Aryan Chauhan 4 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Armaan Armaan 4 years, 4 months ago

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Aditya Anand 4 years, 4 months ago

0Thank You

Asmit Jha 4 years, 4 months ago

Threee

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Daily pocket expenses of 8p students of a school are given

Posted by Khushi Yadav 4 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

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Product of its prime factorisation of 7429

Posted by Xyz Abc 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 4 years, 4 months ago

7429 is expressed as 17 × 19 × 23 as a product of its prime factors. Let's prime factorise the number 7429 to find its prime factors. Thus, 7429 is expressed as 17 × 19 × 23 as a product of its prime factors.

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Find all the zeores of the polynomial 8x raise to 4 + 8x cubic-20x-5 if its two zeores are √5/2 and -√5/2

Posted by Darsana Ks 4 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

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203158

Posted by Aravind Nalina 4 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

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if x and y are complementary angle then

Posted by Noor Brar 4 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Shiva Devotee 4 years, 4 months ago

If x and y are complementry angle then x+y=90

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Bhavya Rajput 4 years, 4 months ago

X+Y=90° Is x+y is complementary angles Therefore, x+y=90°(while adding complementary angles we must get 90°)

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Solve for x, using the quadratic formula: ???^ 2 − (? ^2 + ? ^2)? + ?? =0

Posted by Muscan Yadav 4 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Bhavya Rajput 4 years, 4 months ago

abx2−(a2+b2)x+ab=0 x=−b±b2−4ac/2a x=−(−a2−b2)±(−a2−b2)2−4abab/2ab x=b/a , a/b

3Thank You

Akash Yadav 4 years, 4 months ago

X=a/b, b/a

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Divide using long division method 5x⁴+x²-8x+25 by x-4

Posted by Kavlya Sonya 4 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

4. If the ratio of sum of the first m and n terms of an AP is m2: n2, show that the ratio of its mth and nth terms is (2m – 1) : (2n – 1).

Posted by Aayush Tyagi 4 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

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Make a project file on " Chronology of Indian Mathematicians with their contributions"

Posted by Asha Sharma 4 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

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Example 6 class 10 chapter real Numbers

Posted by Xyz Abc 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Akash Yadav 4 years, 4 months ago

(6,20)

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5/2x+6/y=1

Posted by Sneha Kamble 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Devan Nandan 4 years, 4 months ago

123tgdu

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If one root is quadratic equations ax2+5x+3=0 is 1 find other

Posted by Saindhavi Santhi 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Keerthivasan Pb 4 years, 4 months ago

step-1:By substituting 1 in the equation we get a=-8 Step-2:By using quadratic formula and substituting the values:a=-8,b=5,c=3 We get the roots 1 and -3/8

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(a-b)x+(a+b)y=2a2-2b2 (a+b)(x+y)=4ab Solve this by cross …

Posted by Raj Kokate 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Mdsameer Ansari 4 years, 4 months ago

Sameer

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Which of the following equation are quadratic equation ? A)- x²+8x-7=0.

Posted by Aakanksha Gupta 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gpulla Array 4 years, 4 months ago

i dont see no other multiple choice questions

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Find the quadratic polynomial, the sum and product of whose zeroes are ¼ and -1/8 respectively.

Posted by Jaswinder Singh 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Jhansi Naga Sri 4 years, 4 months ago

Alpha+ Beta =1/4 Alpha×Beta=-1/8 P(x) = x^2-(Alpha+Beta)x+Alpha×Beta=0 x^2-(1/4+ -1/8)x + 1/4× -1/8=0 x^2-1/8x + -1/32=0 32x^2-4x-1/32=0 32x^2-4x-1=0 4(8x^2-x-1) =0 8x^2-x-1=0 So, 8x^2- x- 1 is the required quadratic equation

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For what value of k( 4 ) is a zero of the polynomial x2- x - ( 2 k - 2 )

Posted by Nikhil Kashyap 4 years, 4 months ago

CBSE > Class 10 > Mathematics