3. For the following APs, write the first term and the common difference: (i) 3, 1, – 1, – 3, . . . (ii) – 5, – 1, 3, 7, . . . (iii) (frac{1}{3}, frac{5}{3}, frac{9}{3}, frac{13}{3}, …) (iv)…
2. Write first four terms of the AP, when the first term a and the common difference d are given as follows: (i) a = 10, d = 10 (ii) a = –2, d = 0 (iii) a = 4,…
1. In which of the following situations, does the list of numbers involved make an arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for…
Class 11 Complex Numbers and Quadratic Equations Assignments Complex Numbers and Quadratic Equations Assignments Assignment 01 (CM23M110401) [pdf-embedder url=”https://chillimath.com/wp-content/uploads/2023/04/class-11-complex-numbers-and-quadratic-equations-assignment-1.pdf”] Answer key for Complex Numbers and Quadratic Equations Assignment 01 (CM23M110401) [pdf-embedder url=”https://chillimath.com/wp-content/uploads/2023/04/11CM23M110401-answers.pdf”] Resources Ncert Solutions Assignments MCQ’s Leave A Comment…
Pythagoras Theorem
14. If ((frac{1+i}{1-i})^m=1), then find the least positive integral value of m. Complex Numbers and Quadratic Equations Miscellaneous Exercise Previous Next Class 11 Complex Numbers and Quadratic Equations Miscellaneous Exercise 1. Evalaute: ([i^{18}+(frac{1}{i})^{25}]^3). 2. For any two complex numbers (z_1) and (z_2),…
13. If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that (a² + b²) (c² + d²) (e² + f²) (g² + h²) = A² + B². Complex Numbers and Quadratic…
12. Find the number of non-zero integral solutions of the equation (|1-i|^x=2^x). Complex Numbers and Quadratic Equations Miscellaneous Exercise Previous Next Class 11 Complex Numbers and Quadratic Equations Miscellaneous Exercise 1. Evalaute: ([i^{18}+(frac{1}{i})^{25}]^3). 2. For any two complex numbers (z_1) and (z_2),…
11. If α and β different complex numbers with |β|=1, then find (|frac{β-α}{1-bar{α}β}|) Complex Numbers and Quadratic Equations Miscellaneous Exercise Previous Next Class 11 Complex Numbers and Quadratic Equations Miscellaneous Exercise 1. Evalaute: ([i^{18}+(frac{1}{i})^{25}]^3). 2. For any two complex numbers (z_1) and…
10. If ((x+iy)^3=u+iv), then show that (frac{u}{x}+frac{v}{y}=4(x^2-y^2)). Complex Numbers and Quadratic Equations Miscellaneous Exercise Previous Next Class 11 Complex Numbers and Quadratic Equations Miscellaneous Exercise 1. Evalaute: ([i^{18}+(frac{1}{i})^{25}]^3). 2. For any two complex numbers (z_1) and (z_2), prove that (Re(z_1 z_2)=Re(z_1)Re (z_2))(-Im(z_1)Im(z_2)). …
