Question:medium

Consider the lines \[ L_1: 2x+3y+1=0 \] and \[ L_2: 3x-2y+1=0. \] The locus of a variable point that is equidistant from the two lines $L_1=0$ and $L_2=0$ is

Show Hint

The locus of points equidistant from two intersecting lines is the pair of angle bisectors. Using the distance formula and squaring both sides directly gives the combined equation of the two bisectors.

Updated On: Jul 29, 2026

\[ 5x^2-24xy-5y^2+2x-10y=0 \]
\[ x-5y=0 \]
\[ 5x+y=0 \]
\[ 5x^2-24xy-5y^2=0 \]

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

Questions Asked in AP EAPCET exam

Let \[ f(x)=\int \frac{\sqrt{x}}{(1+x)^2}\,dx \quad (x\geq 0) \] Then \[ f(3)-f(1) \] is equal to:

AP EAPCET - 2026
Definite and indefinite integrals

View Solution

Gas is being pumped into a spherical balloon at the rate of $ 30 \, \text{ft}^3/\text{min} $. Then the rate at which the radius increases when it reaches the value $ 15 \, \text{ft} $ is:

AP EAPCET - 2026
Differentiation

View Solution

Let the function $ f(x) $ be defined as $ f(x) = \frac{x - |x|}{x} $, then:

AP EAPCET - 2026
Definite and indefinite integrals

View Solution

If the direction ratios of two lines are given by $ l + m + n = 0 $ and $ mn - 2ln + lm = 0 $, then the angle between the lines is:

AP EAPCET - 2026
3D Geometry

View Solution

Consider the lines \[ L_1: 2x+3y+1=0 \] and \[ L_2: 3x-2y+1=0. \] The locus of a variable point that is equidistant from the two lines \(L_1=0\) and \(L_2=0\) is

Show Hint

The Correct Option is A

Solution and Explanation

Top Questions on Straight lines

Questions Asked in AP EAPCET exam