(C) The given equation is $x^2 + 2xy - y^2 = 0$. Comparing this with the general form $ax^2 + 2hxy + by^2 = 0$,we get $a = 1$,$h = 1$,and $b = -1$. Th

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) The given equation is $x^2 + 2xy - y^2 = 0$. Comparing this with the general form $ax^2 + 2hxy + by^2 = 0$,we get $a = 1$,$h = 1$,and $b = -1$. The condition for the lines to be perpendicular is $a + b = 0$. Here,$a + b = 1 + (-1) = 0$. Since the condition $a + b = 0$ is satisfied,the lines are perpendicular to each other. Therefore,the angle between the pair of lines is $\pi/2$.

Class 11 Mathematics Pair of straight lines Angle between the pair of straight lines, Condition for parallel and perpendicular lines

Easy

The angle between the pair of lines given by the equation $x^2 + 2xy - y^2 = 0$ is

A
$\pi/3$
B
$\pi/6$
C
$\pi/2$
D
$0$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Pair of straight lines

Subtopic

Angle between the pair of straight lines, Condition for parallel and perpendicular lines

If $4x^2+12xy+9y^2+2gx+2fy-1=0$ represents a pair of parallel lines,then:

MediumTS EAMCET 2025

View Solution

The angle between the lines represented by $(\sin ^2 \alpha) y^2 - 2xy(\cos ^2 \alpha) + (\cos ^2 \alpha - 1) x^2 = 0$ is

EasyAP EAMCET 2021

View Solution

If the coordinate axes are the bisectors of the angles between the pair of lines $ax^2 + 2hxy + by^2 = 0$,where $h^2 > ab$ and $a \neq b$,then

DifficultAP EAMCET 2002

View Solution

The angle between the lines represented by the equation $(x^2 + y^2)\sin \theta + 2xy = 0$ is

Medium

View Solution

If the slope of one of the lines represented by $2x^2 + 3xy + ky^2 = 0$ is $2$,then the angle between the pair of lines is

MediumAP EAMCET 2024

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The angle between the pair of lines given by the equation $x^2 + 2xy - y^2 = 0$ is

Similar Questions

If $4x^2+12xy+9y^2+2gx+2fy-1=0$ represents a pair of parallel lines,then:

The angle between the lines represented by $(\sin ^2 \alpha) y^2 - 2xy(\cos ^2 \alpha) + (\cos ^2 \alpha - 1) x^2 = 0$ is

If the coordinate axes are the bisectors of the angles between the pair of lines $ax^2 + 2hxy + by^2 = 0$,where $h^2 > ab$ and $a \neq b$,then

The angle between the lines represented by the equation $(x^2 + y^2)\sin \theta + 2xy = 0$ is

If the slope of one of the lines represented by $2x^2 + 3xy + ky^2 = 0$ is $2$,then the angle between the pair of lines is

Vedclass Test Series

Exam Paper Generator

Online Exam Module