a + b = 7 এবং ab = 12 হলে (1/a)2 + (1/b)2 এর মান কত?
A
3/25
B
9/16
C
25/144
D
31/144
উত্তরের বিবরণ
প্রশ্ন: a + b = 7 এবং ab = 12 হলে (1/a)2 + (1/b)2 এর মান কত?
সমাধান:(1/a)2 + (1/b)2
= (1/a2) + (1/b2)
= (b2 + a2)/a2b2
= {(a + b)2 - 2ab}/(ab)2
= {(7)2 - (2 × 12)}/(12)2
= (49 - 24)/144
= 25/144
= (1/a2) + (1/b2)
= (b2 + a2)/a2b2
= {(a + b)2 - 2ab}/(ab)2
= {(7)2 - (2 × 12)}/(12)2
= (49 - 24)/144
= 25/144
0
Updated: 21 hours ago
√2/(√6 + 2) = কত?
Created: 4 weeks ago
A
3 - √2
B
√3 - √2
C
√3 + √2
D
√3 + 2
প্রশ্ন: √2/(√6 + 2) = কত?
সমাধান:
√2/(√6 + 2) = √2/{√2(√3 + √2)}
= 1/(√3 + √2)
= (√3 - √2)/(√3 + √2)(√3 - √2)
= (√3 - √2)/{(√3)2 - (√2)2}
= (√3 - √2)/(3 - 2)
= (√3 - √2)/1
= (√3 - √2)
0
Updated: 4 weeks ago
log3√2(1/324) এর
মান কত?
Created: 1 month ago
A
- 1
B
2
C
3
D
- 4
সমাধান:
দেওয়া আছে,
log3√2(1/324)
= log3√2{1/(3√2)4}
= log3√2(3√2)- 4
= - 4 log3√2(3√2)
= - 4 ;[logaa = 1]
0
Updated: 1 month ago
If x + 1/x = 7, find the value of 3x/(x2 - 6x + 1)
Created: 13 hours ago
A
1
B
3
C
0
D
- 2
Question: If x + 1/x = 7, find the value of 3x/(x2 - 6x + 1)
Solution:
Given,
x + 1/x = 7
⇒ (x2 + 1)/x = 7
∴ x2 + 1 = 7x
Now,
3x/(x2 - 6x + 1)
= 3x/(x2 + 1 - 6x)
= 3x/(7x - 6x)
= 3x/x
= 3
0
Updated: 13 hours ago
