Ex 4 3 1 Ii Draw The Graph Of Linear Equation X Y 2
68 MATHEMATICS (iv) The equation 2x = y can be written as 2x – y 0 = 0 Here a = 2, b = –1 and c = 0 Equations of the type ax b = 0 are also examples of linear equations in two variables because they can be expressed as ax 0y b = 0 For example, 4 – 3x = 0 can be written as –3x 0y 4 = 0 Example 2 Write each of the following as an equation in two variablesSubstituting the values of x and y in the equation x–2y = 4, we get, x –2y = 4 1 (2×1) = 4 12 = 4 But, 1 ≠ 4 (1, 1) is not a solution of the equation x–2y = 4 4 Find the value of k, if x = 2, y = 1 is a solution of the equation 2x3y = k Solution The given equation is 2x3y = k According to the question, x = 2 and y = 1
(x-y)^2 formula class 9
(x-y)^2 formula class 9-Therefore, x = 2 and y = 14 Or, One equation is x y = 2 14 = 16 x y = 16 Second equation is x – y = 2 – 14 = 12 x y = 12 Third equation is y = 7x 0 = 7x – y 7x y = 0 In fact we can find infinite equations because infinite number of lines pass through one point Linear Equations for Two Variables Class 9 MCQs Questions with Answers Question 1 The value of y at x = 1 in the equation 5y = 2 is (a) (b) (c) 10 (d) 0 Answer Question 2 Equation of a line which is 5 units distance above the xaxis is (a) x = 5 (b) x 5 = y (c) y – 5 (d) x – y = 0 Answer Question 3
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Students can also refer to NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations for Two Variables for better exam preparation and score more marks Online Education Linear Equations for Two Variables Class 9 MCQs Questions with Answers Linear Equations In Two Variables Class 9 MCQ Question 1 The value of y at x = 1 in the equation 5y If x = a, y = b is the solution of the pair of equation xy = 2 and xy = 4 then what will be value of a and b (a) 2,1 (b) 3,1 (c) 4,6 (d) 1,2 Answer Answer (b) 3,1 If you have any other queries regarding CBSE Class 9 Maths Linear Equations for Two Variables MCQs Multiple Choice Questions with Answers, Balbharti Maharashtra State Board Class 9 Maths Solutions covers the Practice Set 52 Algebra 9th Class Maths Part 1 Answers Solutions Chapter 5 Linear Equations in Two Variables Substituting x = 6 in equation (i), x y = 9 ∴ 6 y = 9 ∴ y = 9 – 6 = 3 ∴ Original number = 10y x = 10(3) 6 = 30 6 = 36 ∴ The two
Heron's Formula Class 9 Extra Questions Very Short Answer Type Question 1 Find the area of an equilateral triangle having side 6 cm Solutioin Area of an equilateral triangle = × (side) 2 = × 6 × 6 = 9√3 cm 2 Question 2 If the perimeter of an equilateral triangle is 90 m, then find its area SolutioinThe graph of linear equation x2y = 2, cuts the yaxis at answer choices (2,0) (0,2) (0,1) (1,1) Question 10 30 seconds Q The point of the form (a, –a) always lies on the line answer choices x = a y = –a y = x x y = 0 Question 11 30 seconds Q Equation of the line parallel to xaxis and 6 units above the origin is answer choices x = 6 x = –6 Substituting x = 6 in equation (i), x y = 9 ∴ 6 y = 9 ∴ y = 9 – 6 = 3 ∴ Original number = 10y x = 10(3) 6 = 30 6 = 36 ∴ The two digit number is 36 Maharashtra Board Class 9 Maths Chapter 5 Linear Equations in Two Variables Practice
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(a) If the slope is positive, count upward for the rise and to the right for the run (also down and left) Example;2 The graph of every linear equation in two variable is a straight line 3 x = 0 is the equation of the yaxis and y = 0 is the equation of the xaxis 4 The graph x=a is a line parallel to y axis 5 The graph y=b is a line parallel to x axis 6 An equation of the type y = mx represents a line passing through the origin
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