Composition of the nuclei of two atomic species 'X' and 'Y' are given below Give the mass number of 'X' and 'Y' What is the relationship between the two species?Selina solutions for Concise Mathematics Class 9 ICSE chapter 6 (Simultaneous (Linear) Equations (Including Problems)) include all questions with solution and detail explanation This will clear students doubts about any question and improve application skills while preparing for board exams The detailed, stepbystep solutions will help you understand the concepts better and clear yourChapter 1 Rational and Irrational Numbers Chapter 2 Compound Interest (Without using formula) Chapter 3 Compound Interest (Using Formula) Chapter 4 Expansions (Including Substitution) Chapter 5 Factorisation Chapter 6 Simultaneous (Linear) Equations (Including Problems) Chapter 7 Indices (Exponents) Chapter 8 Logarithms Chapter 9 Triangles Congruency in Triangles
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(x-y)^3 formula class 9-Biquadratic Polynomial = \( x^4 5x^3 2x^2 3 \) Class 9 Coordinate Geometry Formulas Equation of a line = \( ax by c = 0 \) Equation of a circle = \( x^2 y^2 = r^2 \) Here 'r' is the radius of the circle; Maharashtra State Board Class 9 Maths Solutions Chapter 7 Coordinate Geometry Practice Set 72 Question 1 On a graph paper plot the points A(3, 0),
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AEESDLPCLASS9MATHSCHAP4LINEAR EQUATIONS IN TWO VARIABLESWORK SHEET3 OF 3 Page 2 of 2 14) Let y varies directly as xIf y = 12 when x = 4, then write a linear equationWhat is the value of y when x = 5? The median of the data 30, 40, 10, , 50 is Step 1 Order the given data in ascending order as 10, , 30, 40, 50 Step 2 Check n (number of terms of data set) is even or odd and find the median of the data with respective 'n' value Step 3 Here, n = 5 (odd) then Median = (n 1)/2 th term 10, , 30, 40, 50 Algebraic Formulas For Class 9 th (ab) 2 = a 2 2abb 2 (a−b) 2 = a 2 −2abb 2 (ab)(a–b) = a 2 –b 2 (xa)(xb) = x 2 (ab)xab (xa)(x–b) = x 2 (a–b)x–ab (x–a)(xb) = x 2 (b–a)x–ab (x–a)(x–b) = x 2 –(ab)xab (ab) 3 =a 3 b 3 3ab(ab) (a–b) 3 = a 3 –b 3 –3ab(a–b) (xyz) 2 = x 2 y 2 z 2 2xy2yz2xz (xy–z) 2 = x 2 y 2 z 2 2xy–2yz–2xz
The graph x= 5 in the following figure is a straight line AB which is parallel to y axis at a distance of 5 units from it (ii) x5=0 Þ x = 5 The graph x= 5 in the following figure is a straight line AB which is parallel to y axis at a distance of 5 units from it in the negative x direction (iii)It can be observed that the coordinates of the points on the given graph satisfy the equation \xy=0\ Therefore, \xy=0\ is the equation corresponding to the graph as shown in Figure 1 Hence, the correct answer is (ii) \xy=0\ (2) For the second figure (i) \y=x2\ (ii) \y=x2\ (iii) \y=x2\ (iv) \x2y=6\ (Image will be uploaded soon)15) The Auto rikshaw fare in a city is charged Rs 10 for the first kilometer and @ Rs 4 per
MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern We have provided Linear Equations for Two Variables Class 10 Maths MCQs Questions with Answers to help students understand the concept very well Q1 The solution of the equation x y = 3, 3x – 2y = 4 is Q2 The value of k if x = 2, y = 1 is a 3x 3 – 7x 2 y 2 8 is a polynomial in x and y of degree 4 8a 8 b – 4ab √2 is a polynomial in a and b of degree 9 Note The degree of a nonzero constant polynomial is 'zero' The degree of a zero polynomial is not defined 5 Linear Polynomial A polynomial of degree one is called a linear polynomial eg, x √7 is a linear polynomial in x, y and z √2 µ 3 is a linearArea of Triangle = \(\frac{1}{2}\) × Base × Height;
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0 x y = 3 Which is a linear equation in the variables x and y This is represented by a line Now, all the values of x are permissible because 0x is always 0 However, y must satisfy the equation y = 3 Note that, the graph AB is a line parallel to the xaxis and at a distance of 3 units of the upper side of it Ex 44 Class 9 Maths Question 2 Q2 Assertion If x = 2, y = 1 is a solution of the equation 2x 3y = k, then the value of k is 7 Reason The solution of the line will satisfy the equation of the line Answer Answer (a) We know that the solution of the line will satisfy the equation of the line So, Reason is correct Since x = 2, y =1 is a solution of the given linear equation, we have 6 If the perpendicular distance of a point P from the x axis is 7 units and the foot of the perpendicular lies on the negative direction of x axis, then the point P has a) y
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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, feel free to reach us via theLinear Equations In Two Variables MCQ Class 9 Question 3 x = 3 and y = 2 is a solution of the equation 4px – 3y = 12, then the value of p is (a) 0 (b) \(\frac{1}{2}\) (c)Class 9 Maths Formulas for Circle A circle is a closed geometrical figure
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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 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) \(\frac{5}{2}\) (b) \(\frac{2}{5}\) (c) 10 (d) 0 (1/2, 3) 6 The graph of the equation y = x 2 is xaxis yaxis A straight line None of these 7 Which of the following equations is not linear equation 2/3x 5 = 3x 4 2x 3 = 7x – 9 x 2 3 = 5x – 3 (x – 2) 2 = x 2 – 1 8 If x = 1,y = 1 is a solution of equation 9ax 12ay = 63 then, the value of a is 33 10 3/4 9 A In high school, students are generally introduced to the fundamentals of trigonometry (Class 9 or Class 10) Class 11 and Class 12 cover more advanced ideas Students may become confused as a result of the numerous concepts covered At Embibe, you can learn Trigonometry Formula Class 11, 12, 10 and practice trigonometry questions of Class
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CLASS 9 FORMULAE MATHS ©BYJU'S COORDINATE GEOMETRY • The horizontal real line is called xaxis and the vertical line is called yaxis • The point of intersection of these two axes is called the origin and it is denoted by O • The XCoordinate is also called abscissa and the ycoordinate is also called ordinate Ex 25, 9 Verify (i) x^3 y^3 = (x y) (x^2 – xy y^2) Teachoo Ex 25, 9Verify (i) x3 y3 = (x y) (x2 – xy y2)LHS x3 y3We know (x y)3 = x3 y3 3xy (x y)So, x3 y3 = (x y)3 – 3xy (x y) = (x y)3 – 3xy (x y) = (x y)9th Class Formulas For Algebraic Identities Given below are the algebraic identities which are considered very important maths formulas for Class 9 (a b) 2 = a 2 2ab b 2 (a – b) 2 = a 2 – 2ab b 2 (a b) (a – b) = a 2 b 2 (x a) (x b) = x 2 (a
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CBSE NCERT Notes Class 9 Maths Polynomials Show Topics Class 9 Maths Polynomials Algebraic Identities Algebraic Identities Algebraic identity is an algebraic equation that is true for all values of the variables occurring in it ( x y) 2 = x2 2 xy y2 ( x – y) 2 = x2 – 2 xy y2 x2 – y2 = ( x y) ( x – y)Class 9 Maths Formulas By Chapters Chapter 2 – Polynomials Chapter 3 – Coordinate Geometry Chapter 7 – Triangles Chapter 8 – Quadrilaterals Chapter 9 – Areas of Parallelograms and Triangles Chapter 10 – Circles Chapter 12 – Heron's Formula Chapter 13 –Answer (i) Atomic mass of element 'X' = Number of protons Number of neutrons = 8 8 = 16 u (ii) Atomic mass of element 'Y' = Number of neutrons Number of protons
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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 Practice Set 52 Algebra 9th Std Maths Part 1 Answers Chapter 5 Linear Equations in Two Variables Question 1 In an envelope there are some ₹5 notes and some ₹10 notes Ex 93, 1 Form a differential equation representing the given family of curves by eliminating arbitrary constants 𝑎 and 𝑏 𝑥/𝑎𝑦/𝑏=1 Here , we eliminate constants by Differentiating both sides wrtx Now, 𝑥/𝑎𝑦/𝑏=1 Differentiating Both Sides wrt 𝑥Solved Examples on Cramer's Rule Example 1 Solve the given system of equations using Cramer's Rule x 3y 3z = 5 3x y – 3z = 4 3x 4y 7z = 7 Solution So, in order to solve the given equation, we will make four matrices These matrices will help in getting the values of x, y, and z x 3y 3z = 5 3x y – 3z = 4
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Equation of a parabola = \( y^2 = 4ax \) Equation of an ellipse = \( \frac{{x^2 }}{{a^2 }} \frac{{y^2 }}{{b^2 }} = 1 \) NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 43 Question 1 Draw the graph of each of the following linear equations in two variables (i) x y = 4 (ii) x – y = 2 (iii) y = 3x (iv) 3 = 2x y Solution (i) We have given the equation x y = 4 To draw the graph, we need at least two solutions to the CBSE Class 9 Maths Linear Equations in two Variables MCQs Set A with answers available in Pdf for free download The MCQ Questions for Class 9 Linear Equations in two variables with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Standard 9 by CBSE, NCERT and KVS Multiple Choice Questions are an important
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CBSE CLASS 12 mathematics chapter 9 DIFFERENTIAL EQUATION exercise 93 NCERT SOLUTION IN HINDI EXPLANATIONSOLVED QUERIES class 12 exercise 93 solutioncla Factorise A Polynomial By Splitting The Middle Term Example Problems With Solutions Type I Factorization of Quadratic polynomials of the form x 2 bx c (i) In order to factorize x 2 bx c we have to find numbers p and q such that p q = b and pq = c (ii) After finding p and q, we split the middle term in the quadratic as px qx and get desired factors by Class 9 Maths Formulas for Areas of Parallelograms & Triangles A parallelogram is a type of quadrilateral that contains parallel opposite sides Area of parallelogram = Base × Height;
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Algebraic Identities For Class 9 (ab)2 = a2 2abb2 ( a b) 2 = a 2 2 a b b 2 (a−b)2 = a2 −2abb2 ( a − b) 2 = a 2 − 2 a b b 2 (ab)(a–b) = a2 –b2 ( a b) ( a – b) = a 2 – b 2 (xa)(xb) =x2 (ab)xab ( x a) ( x b) = x 2 ( a b) x a bApart from these, the following are the formulas that the students must ensure that they learn in order to be able to solve problems regarding algebra more effectively and efficiently (ab)² =a² 2ab b² (a−b)² = a² − 2ab b² (ab) (a–b)=a² – b² (xa) (xb)=x²ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 19 Coordinate Geometry EXERCISE 191 Question 1 (i) abscissa is 3 and ordinate 4 (ii) abscissa is – 3 2 and ordinate 5 (iii) whose abscissa is 1 2 3 and ordinate 2 1 4 (v) whose abscissa is 2 and lies on xaxis (vi) whose ordinate is 3 2 and lies on yaxis
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From the graph it can verify that the line intersect x axis at (2,0) and y at (0,3), therefore the co ordinates of P(xaxis) and Q(yaxis) are (2,0) and (0,3) respectively Question 10 Draw the graph of equation x 2y 3 = 0NCERT Solution For Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables s = 3 6 = 9 Therefore, s = 9 and t = 6 (iii) Given, 3x – y = 3 and 9x – 3y = 9 are the two equationsLet us consider the equation 2x 3y = 12 Here, x = 3 and y = 2 is a solution because when you substitute x = 3 and y = 2 in the equation above, you find that 2x 3y = (2 × 3) (3 × 2) = 12 This solution is written as an ordered pair (3, 2), first writing the value for x and then the value for y Similarly , (0, 4) is also a solution for the equation above
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Ans We are given that the point (3,4) lies on the graph of the equation 3y = ax 7,so the coordinates of the given point will satisfy the equation Putting x = 3 and y = 4 in the equation 3y = ax 7 3 × 4 = a× 3 7 3a = 12 – 7 3a = 5 Therefore the value of a is 5/3 Q4 Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 9 Maths Formulas for Class 9 PDF Free Download Feel free to directly use the best Maths formulas during your homework or exam preparation You need to know the list of Class 9 formulas as they will not just be useful in your academic books but also in your day to
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