B
15. If the vertices A, B, C of a triangle ABC are (1, 2, 3), (–1, 0, 0), (0, 1, 2), respectively, then find ∠ABC. [∠ABC is the angle between the vectors BA and BC] .
05
Nov
15. If the vertices A, B, C of a triangle ABC are (1, 2, 3), (–1, 0, 0), (0, 1, 2), respectively, then find ∠ABC. [∠ABC is the angle between the vectors BA and BC] . 0 ) 1 15. If the vertices A 2 3% B C of a triangle ABC are (1 respectively [...]
13. If a, b, c are unit vectors such that a + b + c = 0, find the value of a.b + b.c + c.a.
05
Nov
13. If a, b, c are unit vectors such that a + b + c = 0, find the value of a.b + b.c + c.a. 13. If a B c are unit vectors such that a + b + c = 0 find the value of a.b + b.c + c.a. November 5, 2021 [...]
Example 27 If i j k, 2i 5j, 3i 2j 3k and i 6j k are the position vectors of points A, B, C and D respectively, then find the angle between AB and CD . Deduce that AB and CD are collinear.
05
Nov
Example 27 If i j k, 2i 5j, 3i 2j 3k and i 6j k are the position vectors of points A, B, C and D respectively, then find the angle between AB and CD . Deduce that AB and CD are collinear. 2i 5j 3i 2j 3k and i 6j k are the position [...]
Example 17 In a relay race there are five teams A, B, C, D and E. (a) What is the probability that A, B and C finish first, second and third, respectively. (b) What is the probability that A, B and C are first three to finish (in any order) (Assume that all finishing orders are equally likely)
05
Nov
Example 17 In a relay race there are five teams A, B, C, D and E. (a) What is the probability that A, B and C finish first, second and third, respectively. (b) What is the probability that A, B and C are first three to finish (in any order) (Assume that all finishing orders [...]
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B ,
B and C are first three to finish (in any order) (Assume that all finishing orders are equally likely) ,
B and C finish first ,
C ,
D and E. (a) What is the probability that A ,
Example 17 In a relay race there are five teams A ,
respectively. (b) What is the probability that A ,
second and third ,
Example 16 If A, B, C are three events associated with a random experiment, prove that
05
Nov
Example 16 If A, B, C are three events associated with a random experiment, prove that B C are three events associated with a random experiment Example 16 If A Prove that November 5, 2021 Category: Chapter 16 - Probability , Maths , NCERT Exemplar Class 11 ,
Example 14 On her vacations Veena visits four cities (A, B, C and D) in a random order. What is the probability that she visits
05
Nov
Example 14 On her vacations Veena visits four cities (A, B, C and D) in a random order. What is the probability that she visits B C and D) in a random order. What is the probability that she visits Example 14 On her vacations Veena visits four cities (A November 5, 2021 Category: Chapter [...]
16. If a(1/b + 1/c),b(1/c + 1/a),c(1/a + 1/b) are in A.P., prove that a, b, c are in A.P
27
Oct
16. If a(1/b + 1/c),b(1/c + 1/a),c(1/a + 1/b) are in A.P., prove that a, b, c are in A.P 16. If a(1/b + 1/c) B b(1/c + 1/a) c are in A.P c(1/a + 1/b) are in A.P. prove that a October 27, 2021 Category: Chapter 9 - Sequences and Series , Maths , [...]
Tags:
16. If a(1/b + 1/c) ,
B ,
b(1/c + 1/a) ,
c are in A.P ,
c(1/a + 1/b) are in A.P. ,
prove that a ,
15. The p^th , q^th and r^th terms of an A.P. are a, b, c, respectively. Show that (q – r )a + (r – p )b + (p – q )c = 0
27
Oct
15. The p^th , q^th and r^th terms of an A.P. are a, b, c, respectively. Show that (q – r )a + (r – p )b + (p – q )c = 0 15. The p^th B C q^th and r^th terms of an A.P. are a respectively. Show that (q – r )a [...]
8. Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b.
22
Oct
8. Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b. –3)} be a function from Z to Z defined by f(x) = ax + b 0 ) 1 2 3% 8. [...]
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–3)} be a function from Z to Z defined by f(x) = ax + b ,
0 ) ,
1 ,
2 ,
3% ,
8. Let f = {(1 ,
B ,
b. Determine a ,
for some integers a ,
If A × B = {(a, x), (a, y), (b, x), (b, y)} Find A and B .
22
Oct
If A × B = {(a, x), (a, y), (b, x), (b, y)} Find A and B . A) B If A × B = {(a X y y)} Find A and B . October 22, 2021 Category: Chapter 2 - Relations and Functions , Maths , NCERT Exemplar Class 11 ,