11th
In this category students supposed to ask questions which belong to std 11th maharashtra board Science
- “The pretty one is Meg, and the curly-haired one is Amy, I believe?” – Laurie. “How did you find that out?” – Jo. Laurie wanted to confirm from Jo whether the pretty one was Meg and the curly-haired was Amy. With surprise in her voice Jo enquired how he(... 1
- Jo flourished her broom as she called out… “How do you do? Are you sick? Laurie opened the window and croaked out as Flourishing her broom Jo asked Laufie about his well-being and enquired whether he was sick. Laurie opened the window and croaked out as hoa... 1
- Change into indirect speech. Question (a) “Do you like your school?” asked the boy. “Don’t go to school The boy wanted to know whether she (Jo) liked school to which Jo answered quite emphatically that she did not go to school. She further adde... 1
- The Extract deals with the atmosphere of two homes. Collect the words associated with – Home Library Garden Home: old, brown, bare, shabby, stately stone mansion, comfort, luxury, big coach house, lovely things, rich curtains, lifeless, lawn, encha... 1
- Find proverbs, maxims and idioms related to ‘friendship’. Birds of a feather flock together. A friend in need is a friend in deed. Friendship is love with understanding. To get on like a house on fi... 1
- Give a brief account of the interaction between Grandpa and Jo. Grandpa and Jo had an interesting interaction as Jo had come out of her initial fear after having a closer look at him. Grandpa had overhear... 1
- Write down in your own words the way Laurie confirmed the names of the March sisters. The March family sometimes forgot to put the curtain down at the window and that helped Laurie, their neighbor, to observe minutely inside t... 1
- Bring out the contrast between the two houses with the help of the following points: House of March House of Laurence 1. Old, brown house 2. Rather bare and shabby 3. Children played all around 4. A lively household having fo... 1
- Jo’s decision to make friends with the lonely boy next door proves to be a good one. Elaborate. Jo was bold, friendly and warm person who observed the boy next door closely and came to the conclusion that he was hungry for friends and f... 1
- z – z¯ = 6i ( z – z¯ = 6i) z – z¯ = (2 + 3i) – (2 – 3i) = 2 + 3i – 2 + 3i = 6i 1
- (1 + 2i) 2 (1 – i) Let z = (1 + 2i)² (1 – i) = (1 + 4i + 4i²) (1 – i) = [1 + 4i + 4(-1)] (1 – i) ….[∵ i² = -1] = (-3 + 4i) (1 – i) = -3 + 3i + 4i – 4i² = -3 +... 1
- (1 + ω)(1 + ω2)(1 + ω4)(1 + ω8) ω is the complex cube root of unity. ω³ = 1 and 1 + ω + ω² = 0 Also, 1 + ω² = -ω, 1 + ω = -ω² and ω + ω² = -1 (1 + ω)(1 + ω²)(1 + ω⁴)(1 + ω⁸... 1
- (1 – ω – ω2)3 + (1 – ω + ω2)3 ω is the complex cube root of unity. ω³ = 1 and 1 + ω + ω² = 0 Also, 1 + ω² = -ω, 1 + ω = -ω² and ω + ω² = -1 (1 – ω – ω²)³ + (1 – ω + ω²)³... 1
- (1 + ω – ω2) 6 = 64 Proof: since 1 + ω = -ω² , the expression becomes (-2ω²)⁶ = 64 . Here ω is a complex cube root of unity, so ω³ = 1 and 1 + ω + ω² = 0 , whic... 1
- If ω is the complex cube root of unity, show that (i) (2 – ω)(2 – ω2) = 7 ω is the complex cube root of unity. ω³ = 1 and 1 + ω + ω² = 0 Also, 1 + ω² = -ω, 1 + ω = -ω² and ω + ω² = -1 L.H.S. = (2 – ω)(2 – ω²) = 4 –... 1
- If ω is a complex cube root of unity, prove that (1 – ω + ω2)6 + (1 + ω – ω2)6 = 128. ω is the complex cube root of unity. ∴ ω³ = 1 and 1 + ω + ω² = 0 Also, 1 + ω² = -ω, 1 + ω = -ω² ∴ L.H.S. = (1 – ω + ω²)⁶ + (1 + ω – ω²)⁶ = [... 1
- 18i complex number Let √18i = a + bi, where a, b ∈ R. Squaring on both sides, we get 18i = a² + b² i² + 2abi 0 + 18i = a² – b² + 2abi …..[∵ i² = -1] Equating r... 1
- i131 + i49 complex number i¹³¹ + i⁴⁹ = (i⁴)³² . i³ + (i⁴)¹² . i = (1)³² (-i) + (1)¹² . i = -i + i = 0 2
- 2x + i9 y(2 + i) = x i7 + 10 i16 2x + i⁹ y(2 + i) = x i⁷ + 10 i¹⁶ 2x + (i⁴)² . i . y(2 + i) = x(i²)³ . i + 10 . (i⁴)⁴ 2x + (1)² . iy(2 + i) = x(-1)³ . i + 10(1)⁴ ……..[∵ i² =... 1
- point out the difference between 12 carbon and 12 uof cardon 12 g of carbon is one mole of carbon atoms, while 12 u is the mass of a single carbon-12 atom. (Reading the question as "12 g of carbon" and... 1
- Explain structure and bonding of diborane. Electronic configuration of boron is 1s² 2s² 2p¹. Thus, it has only three valence electrons. In diborane, each boron atom is sp³ hybridized.... 1
- Explain the trend in oxidation state of elements from nitrogen to bismuth. Group 15 elements have five valence electrons (ns² np³). Common oxidation states are -3, +3 and +5. The range of oxidation state is from -3... 1
- What are silicones? Where are they used? Silicones are organosilicon polymers having R₂SiO (where, R = CH₃ or C₆H₅ group) as a repeating unit held together by Since the empirical fo... 1
- Find out the difference between White phosphorus and Red phosphorus White phosphorus Red phosphorus It consists of discrete tetrahedral P₄ molecules. It consists chains of P₄ molecules linked together by cova... 1