>
Exams
>
Mathematics
>
types of differential equations
>
if a2 b2 14ab then log a b 4
Question:
If a
2
+ b
2
= 14ab, then log (
\(\frac{a+b}{4}\)
)=
WBJEE JENPAS UG - 2022
WBJEE JENPAS UG
Updated On:
May 4, 2024
\(\frac{1}{2}\)
(log a+ log b)
\(\frac{1}{2}\)
log (a)+ log (b)
\(\frac{1}{2}\)
log
\((\frac{a}{b})\)
\(\frac{1}{3}\)
log
\((\frac{a}{b})\)
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct option is (A):
\(\frac{1}{2}\)
(log a+ log b)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on types of differential equations
If the focus of an ellipse is \((-1,-1)\), equation of its directrix corresponding to this focus is \(x + y + 1 = 0\) and its eccentricity is \(\frac{1}{\sqrt{2}}\), then the length of its major axis is:
TS EAMCET - 2024
Mathematics
types of differential equations
View Solution
If \( (2,3) \) is the focus and \( x - y + 3 = 0 \) is the directrix of a parabola, then the equation of the tangent drawn at the vertex of the parabola is:
TS EAMCET - 2024
Mathematics
types of differential equations
View Solution
If \( m_1 \) and \( m_2 \) are the slopes of the direct common tangents drawn to the circles
\[ x^2 + y^2 - 2x - 8y + 8 = 0 \quad \text{and} \quad x^2 + y^2 - 8x + 15 = 0 \]
then \( m_1 + m_2 \) is:
TS EAMCET - 2024
Mathematics
types of differential equations
View Solution
The equation of the common tangent to the parabola \(y^2 = 8x\) and the circle \(x^2 + y^2 = 2\) is \(ax + by + 2 = 0\). If \(-\frac{a}{b}>0\), then \(3a^2 + 2b + 1 =\)
TS EAMCET - 2024
Mathematics
types of differential equations
View Solution
The axis of a parabola is parallel to Y-axis. If this parabola passes through the points \( (1,0), (0,2), (-1,-1) \) and its equation is \( ax^2 + bx + cy + d = 0 \), then \( \frac{ad}{bc} \) is:
TS EAMCET - 2024
Mathematics
types of differential equations
View Solution
View More Questions
Questions Asked in WBJEE JENPAS UG exam
According to a certain code,
(I) 'min fin bin gin' means 'trains are always late'.
(II) 'gin din cin hin' means 'drivers were always punished'.
(III) 'bin cin vin rin' means 'drivers stopped all trains'.
(IV) 'din kin fin vin' means 'all passengers were late'.
Then 'hin min kin' would mean
WBJEE JENPAS UG - 2023
Critical Reasoning
View Solution
When a spring is stretched by x amount, the potential energy stored in it is E. When the spring is stretched by another x amount, the potential energy stored in the spring becomes E'. Then
\(\frac{E'}{E}\)
is,
WBJEE JENPAS UG - 2023
work, energy and power
View Solution
In a class of 165 students, 45 students are passed in Mathematics as well as in English, whereas 60 students are failed in Mathematics and 65 students are failed in English. How many students are passed in exactly one subject?
WBJEE JENPAS UG - 2023
Percentages
View Solution
BEGK is related to ADFJ, in the same way as PSVY is related to _____.
WBJEE JENPAS UG - 2023
Critical Reasoning
View Solution
R E 5 D A P $ 3 T I Q 7 9 B # 2 K % U 1 M W 4 * J 8 N
How many such numbers are there in the above arrangement, each of which is immediately preceded by a letter and not immediately followed by a letter?
WBJEE JENPAS UG - 2023
Critical Reasoning
View Solution
View More Questions