x2 + 2ax - 2a - 1 এর একটি উৎপাদক -
A
(x + 2a - 1)
B
(x - 1)
C
(x - 2a + 1)
D
(x + 1)
উত্তরের বিবরণ
প্রশ্ন: x2 + 2ax - 2a - 1 এর একটি উৎপাদক -
সমাধান:
x2 + 2ax - 2a - 1
= (x2 - 1) + 2ax - 2a
= (x + 1)(x - 1) + 2a (x - 1)
= (x - 1)(x + 2a + 1)
0
Updated: 1 month ago
x + (1/x) = 5 হলে, x/(x2 + x + 1) এর মান কত?
Created: 1 month ago
A
1/6
B
1/3
C
1/4
D
1/2
প্রশ্ন: x + (1/x) = 5 হলে, x/(x2 + x + 1) এর মান কত?
সমাধান:
দেওয়া আছে,
x + (1/x) = 5
বা, x2 +1 = 5x
এখন,
x/(x2 + x + 1)
= x/(x2 + 1 + x)
= x/(5x + x)
= x/6x
= 1/6
0
Updated: 1 month ago
x- 3 - 0.008 = 0 হলে, x2 এর মান কত?
Created: 3 weeks ago
A
25
B
100
C
125
D
1000
সমাধান:
x- 3 - 0.008 = 0
বা, x- 3 = 0.008
বা, 1/x3 = 8/1000
বা, 1/x3 = 1/125
বা, 1/x3 = 1/53
বা, x3 = 53
বা, x = 5
বা, x2 = 52
∴ x2 = 25
0
Updated: 3 weeks ago
How many terms are there in the geometric progression,
3, 6, 12, 24, …, 1536
Created: 3 weeks ago
A
10
B
8
C
11
D
9
Question: How many terms are there in the geometric progression,
3, 6, 12, 24, …, 1536
Solution:
First term, a = 3
Common ratio, r = 6/3 = 2
Last term or nth term of GP = arn - 1
⇒ 1536 = 3 × (2n - 1)
⇒ 2n - 1 = 1536/3
⇒ 2n - 1 = 512
⇒ 2n - 1 = 29
So, comparing the power,
Thus, n - 1 = 9
∴ n = 10
∴ Number of terms = 10
0
Updated: 3 weeks ago
