>
Exams
>
Mathematics
>
Straight lines
>
the equation x 2 3 xy 3y 3x 3 3 y 4 0 represents
Question:
The equation x²-2√(3)xy+3y²-3x+3√(3)y-4=0 represents
Show Hint
Use determinant condition to identify pair of lines.
BITSAT - 2016
BITSAT
Updated On:
Mar 20, 2026
a pair of intersecting lines
a pair of parallel lines with distance (5)/(2) between them
a pair of parallel lines with distance 5√(2) between them
a conic section which is not a pair of straight lines
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Step 1:
Check condition ab=h², so equation represents pair of parallel lines.
Step 2:
Distance between them evaluates to (5)/(2).
Download Solution in PDF
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
BITSAT - 2025
Mathematics
Vector Algebra
View Solution
Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} \).
BITSAT - 2025
Mathematics
Matrices
View Solution
The 5th term of an AP is 20 and the 12th term is 41. Find the first term.
BITSAT - 2025
Mathematics
Arithmetic Progression
View Solution
The sum of the infinite geometric series $ S = \frac{a}{1-r} $ is 24, and the sum of the first three terms is 21. Find $ a $ and $ r $.
BITSAT - 2025
Mathematics
Sequence and series
View Solution
In triangle $ ABC $, the length of sides are $ AB = 7 $, $ BC = 10 $, and $ AC = 5 $. What is the length of the median drawn from vertex $ B $?
BITSAT - 2025
Mathematics
Coordinate Geometry
View Solution
View More Questions
Top BITSAT Straight lines Questions
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
Given the system of straight lines a(2x+y-3)+b(3x+2y-5)=0, the line of the system situated farthest from the point (4,-3) has the equation
BITSAT - 2021
Mathematics
Straight lines
View Solution
If the lines p₁x+q₁y=1, p₂x+q₂y=1 and p₃x+q₃y=1 are concurrent, then the points (p₁,q₁), (p₂,q₂) and (p₃,q₃)
BITSAT - 2019
Mathematics
Straight lines
View Solution
Equation of two straight lines are $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-4}{5}=\frac{y-1}{2}=z$ .Then
BITSAT - 2019
Mathematics
Straight lines
View Solution
View More Questions
Top BITSAT Questions
Rearrange the following parts to form a meaningful sentence:
P. technological advancement
Q. has led to
R. in many fields
S. a significant leap
BITSAT - 2025
Sentence Arrangement
View Solution
What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
BITSAT - 2025
Vector Algebra
View Solution
Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} \).
BITSAT - 2025
Matrices
View Solution
The 5th term of an AP is 20 and the 12th term is 41. Find the first term.
BITSAT - 2025
Arithmetic Progression
View Solution
The sum of the infinite geometric series $ S = \frac{a}{1-r} $ is 24, and the sum of the first three terms is 21. Find $ a $ and $ r $.
BITSAT - 2025
Sequence and series
View Solution
View More Questions