5. In Question 4, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point. Introduction To Euclid’s Geometry Exercise 5.1 Previous Next Class 9 Introduction To Euclid’s Geometry Exercise…
4. If a point C lies between two points A and B such that AC = BC, then prove that (AC=frac{1}{2}AB). Explain by drawing the figure. Introduction To Euclid’s Geometry Exercise 5.1 Previous Next Class 9 Introduction To Euclid’s…
3. Consider two ‘postulates’ given below: (i) Given any two distinct points A and B, there exists a third point C which is in between A and B. (ii) There exist at least three points that are not on the…
2. Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?(i) parallel lines (ii) perpendicular lines (iii) line segment (iv) radius of…
1. Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A…
4. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k. Linear Equations in Two Variables Exercise 4.2 Previous Next Class 9 Linear Equations in Two Variables…
3. Check which of the following are solutions of the equation (x – 2y = 4) and which are not: (i) (0, 2) (ii) (2, 0) (iii) (4, 0) (iv) ((sqrt{2}, 4sqrt{2})) …
2. Write four solutions for each of the following equations:(i) (2x + y = 7) (ii) (πx + y = 9) (iii) (x = 4y) Linear Equations in Two Variables Exercise 4.2 Previous Next Class 9 Linear Equations in Two…
1. Which one of the following options is true, and why? y = 3x + 5 has (i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions. Linear Equations in Two Variables Exercise 4.2 Previous Next…
2. Express the following linear equations in the form (ax + by + c = 0) and indicate the values of a, b and c in each case: (i) (2x + 3y =9.bar{35}) (ii) (x –frac{y}{5} – 10 = 0)…
