Rajasthan Board RBSE Class 11 Maths Chapter 7 Binomial Theorem Ex 7.3 Question 1. If C0, C1, C2,… Cn are coefficients of expansion (1 + x)n then find the value of : 8C1 + 8C2 + 8C3 + … + 8C8 8C1+ 8C3 + 8C5 + 8C7 Solution: (i) 8C1 + 8C2 + 8C3 + ……
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 7 Binomial Theorem Ex 7.2 Question 1. In the following expansions, find the term as stated : (i) 5th term of (a + 2×3)17 (ii) 9th term of (iii) 6th term of Solution: (i) 5th term of (a + 2×3)17 We know that (r + 1 )th term in…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 7 Binomial Theorem Ex 7.1 Expand each expression in the following questions (Q. 1 to 5): Question 1. (2 – x)3 Solution : (2 – x)3 = 3C0 ( 2 )3 + 3C1 ( 2 )2 (-x) + 3C2 ( 2 ) ( -x )2 + 3C3 ( -x…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 6 Permutations and Combinations Miscellaneous Exercise Question 1. If nPn-2 = 60, then n will be: (A) 2 (B) 4 (C) 5 (D) 3 Solution: Question 2. nPr ÷ nCr is equal to: (A) n! (B) (n – r)! (C) (D) r! Solution: Hence, the option (D) is…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 6 Permutations and Combinations Ex 6.2 Question 1. Find the value of n, whereas: Solution: Question 2. Find the value of 50C11 + 50C12 + 51C13 – 52C13. Solution. Question 3. In a triangle ABC, there are 3, 4 and 5 points on side AB, BC, CA respectively.…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 6 Permutations and Combinations Ex 6.1 Question 1. Find the value of n, whereas n Solution: Question 2. Find the number of different words formed by letters of word ALLAHABAD. Solution: There are 9 letters in given word, in which 4A, 2L and other are different. So, by…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 5 Complex Numbers Miscellaneous Exercise Question 1. Real and imaginary parts of complex number respectively are: (A) 1, 1 (B) 0, 0 (C) 0, 1 (D) 1, 0 Solution: Real part = 0 Imaginary part = 1 Hence, option (C) is correct. Question 2. If 2 + (2a…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 5 Complex Numbers Ex 5.4 Question 1. Find the solution of following equations by vedic method (i) x2 + 4x + 13 = 0 (ii) 2×2 + 5x + 4 = 0 (iii) ix2 + 4x – 15/2 = 0 Solution: (i) Given equation x2 + 4x +…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 5 Complex Numbers Ex 5.3 Question 1. Find the square root of the following complex numbers: (i) -5 + 12i (ii) 8 – 6i (iii) -i Solution: Formula Question 2. Find the value of Solution: From formula = Question 3. Find the cube root of the following: (i)…
Read more
Rajasthan Board RBSE Class 11 Maths Chapter 5 Complex Numbers Ex 5.2 Question 1. Find the arguments of the following numbers: Solution: Question 2. Express the following complex numbers into the polar form: Solution: Question 3. If z1 and z2 are two non-zero complex numbers, then prove that arg z1= arg z1 – arg z2…
Read more