Class 11MathematicsPair of straight linesAngle between the pair of straight lines, Condition for parallel and perpendicular lines
MediumThe number of real values of $\alpha$ for which the pair of lines represented by $(\alpha^2+12|\alpha|) x^2+6 x y+(18-21|\alpha|) y^2=0$ are at right angles to each other,is
- A$0$
- B$1$
- C$2$
- D$4$
Explore More
Similar Questions
If the slopes of both the lines given by $x^2 + 2hxy + 6y^2 = 0$ are positive and the angle between these lines is $\operatorname{Tan}^{-1}\left(\frac{1}{7}\right)$,then find the value of $h$.
DifficultAP EAMCET 2025
View SolutionIf in the general quadratic equation $f(x, y) = 0$,$\Delta = 0$ and $a + b = 0$,then the equation represents:
Medium
View SolutionFind the angle between the pair of lines represented by the equation $x^2+4xy+y^2=0$. (in $^{\circ}$)
If the angle $2 \theta$ is acute,then the acute angle between the pair of straight lines $x^2(\cos \theta - \sin \theta) + 2xy \cos \theta + y^2(\cos \theta + \sin \theta) = 0$ is:
DifficultAP EAMCET 2002
View SolutionThe angle between the two straight lines represented by the equation $2x^2 - 5xy + 2y^2 - 3x + 3y + 1 = 0$ is
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo