>
Exams
>
Mathematics
>
Straight lines
>
the equation 8x2 12y2 4x 4y 1 0 represents
Question:
The equation 8x
2
+ 12y
2
– 4x + 4y – 1 = 0 represents
WBJEE
Updated On:
Apr 23, 2024
(A) an ellipse
(B) a hyperbola
(C) a parabola
(D) a circle
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Explanation:
a
x
2
+
b
y
2
+
2
h
x
y
+
2
g
x
+
2
f
y
+
c
=
0
represents ellipse if
h
2
−
a
b
<
0
3
x
2
+
12
y
2
−
4
x
+
4
y
−
1
=
0
h
=
0
,
a
=
3
,
b
=
12
h
2
−
a
b
<
0
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Straight lines
The equation of a straight line is given by \( y = 3x + 4 \). What is the slope of the line?
BITSAT - 2025
Mathematics
Straight lines
View Solution
Find the slope of the line passing through the points $ (1, 2) $ and $ (3, 6) $:
BITSAT - 2025
Mathematics
Straight lines
View Solution
The equation of the line passing through the point \((1, 2)\) and perpendicular to the line \(3x + 4y - 12 = 0\) is:
AP EAPCET - 2025
Mathematics
Straight lines
View Solution
Find the slope of the line perpendicular to the line $ 3x + 4y - 12 = 0 $.
AP EAPCET - 2025
Mathematics
Straight lines
View Solution
Two straight lines \( 3x - 2y = 5 \) and \( 2x + ky + 7 = 0 \) are perpendicular to each other. The value of \( k \) is:
JEECUP - 2024
Mathematics
Straight lines
View Solution
View More Questions
Questions Asked in WBJEE exam
Which logic gate is represented by the following combination of logic gates?
WBJEE - 2025
Logic gates
View Solution
If \( {}^9P_3 + 5 \cdot {}^9P_4 = {}^{10}P_r \), then the value of \( 'r' \) is:
WBJEE - 2025
permutations and combinations
View Solution
If \( 0 \leq a, b \leq 3 \) and the equation \( x^2 + 4 + 3\cos(ax + b) = 2x \) has real solutions, then the value of \( (a + b) \) is:
WBJEE - 2025
Trigonometric Equations
View Solution
Let \( f(\theta) = \begin{vmatrix} 1 & \cos \theta & -1 \\ -\sin \theta & 1 & -\cos \theta \\ -1 & \sin \theta & 1 \end{vmatrix} \). Suppose \( A \) and \( B \) are respectively the maximum and minimum values of \( f(\theta) \). Then \( (A, B) \) is equal to:
WBJEE - 2025
Matrix
View Solution
If \( a, b, c \) are in A.P. and if the equations \( (b - c)x^2 + (c - a)x + (a - b) = 0 \) and \( 2(c + a)x^2 + (b + c)x = 0 \) have a common root, then
WBJEE - 2025
Quadratic Equations
View Solution
View More Questions