Holiday Homework Class X PDF

# Goeeentand Convent School Holiday Homework ## Class - X ### Maths 1. Prove that √2 + √3 is irrational 2. Find the HCF and LCM of 108, 120, and 252 using prime factorization method. 3. Find the zeros of the quadratic polynomial 3x²-8x+453 and verify the relationship between its zeros and coeffic...

# Goeeentand Convent School Holiday Homework ## Class - X ### Maths 1. Prove that √2 + √3 is irrational 2. Find the HCF and LCM of 108, 120, and 252 using prime factorization method. 3. Find the zeros of the quadratic polynomial 3x²-8x+453 and verify the relationship between its zeros and coefficients. 4. If one zero of the polynomial (a²+9)x²+13x+6a is reciprocal of the other, find the value of a. 5. Solve the following system of linear equations graphically 4x-5y-20 = 0 and 3x+5y-15=0 Determine the vertices of the triangle formed by the lines representing the above equations, and the y axis. 6. Prove that √15 is an irrational number. 7. Prove that 5x4x3x2x1 + 2 is a composite number. 8. If the HCF of two numbers is 18 and their product ### Social Sc. 1. Project work. (Any one) - Consumer Rights - Unemployment - Sustainable Development 2. Write an essay on Globalization and its impact on today's world and Indian Economy. ### Hindi 3. Write a short note on World Bank. 4. Write about unification of Germany. 5. Explain the factor on which the quality of life depends. 6. What is Agenda 21. Write its two principle. 7. Explain Power sharing arrangement in Belgium. - क्षितिज काव्य खंड - Ch. 1,2 यद सहित हिन्दी में अर्थ करता है। - काव्य खण्ड - Ch. 1,2,3 पूरे chapters लिखकर त्याने हैं जिससे लेख में सुधार हो सके। ### Science 1. How is a voltmeter connected in the circuit to measure the potential difference between two points. 2. A Copper wire has a diameter of 0.5 mm and resistivity 1.6×10⁻⁸Ωm. What will be the length of this wire to make its resistance 10 Ω. How much does the resistance change if the diameter is doubled. 3. The values of current I flowing in a given resistor for the corresponding values of potential difference across the resistor are given below. | I (amperes) | V(volts) | |---|---| | 0.5 | 1.6 | | 1.0 | 3.4 | | 2.0 | 6.7 | | 3.0 | 10.2 | | 4.0 | 13.2 | Plot a graph between V and I and calculate the resistance of that resistor. 4. When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor. 5. A battery of 1 V is connected in series with a resistor of 0.2Ω, 0.3Ω, 0.4Ω, 0.5Ω and 1.2Ωrespectively. How much current would flow through the 12Ω resistor? 6. Show how you would connect three resistors each of resistance 6Ω, so that the combination has a resistance of a) 9Ω b) 4 Ω. 7. What is a balanced chemical equation? Why should chemical equations be balanced. 8. Translate the following statement into a chemical equation and then balance it: Hydrogen gas combines with nitrogen to form ammonia. 9. Translate the following statement into a chemical reaction and then balance it: Hydrogen Sulphide gas burns in air to give water and sulphur dioxide. 10. Translate the following statement into a chemical reaction and then balance it: Barium chloride reacts with aluminium sulphate to give aluminium chloride and a precipitate of barium Sulphate. ### Eng. 1. Write 50 Antonyms and learn 10 one word substitution (Alphabetically). 2. Write rule of Direct & Indirect speech. 3. Nalson Mandela (Summary)