If one of the lines represented by the equation $ax^2 + 2hxy + by^2 = 0$ bisects the angle between the coordinate axes in the first quadrant,then which of the following is true?

  • A
    $a - b = 2|h|$
  • B
    $a + b = -2h$
  • C
    $a + b = 2|h|$
  • D
    $(a - b)^2 = 4h^2$

Explore More

Similar Questions

$PQR$ is a right-angled isosceles triangle with the right angle at $P(2, 1)$. If the equation of the line $QR$ is $2x + y = 3$,then the equation representing the pair of lines $PQ$ and $PR$ is:

The lines represented by the equation $x^2-y^2-x+3y-2=0$ are :

If the slope of one of the lines represented by $ax^2 + (2a + 1)xy + 2y^2 = 0$ is the reciprocal of the slope of the other,then the sum of the squares of the slopes is

The equation $(x + y)^2 - (x^2 + y^2) = 0$ represents

If one of the lines represented by $ax^2+2hxy+by^2=0$ is perpendicular to $mx+ny=18$,then

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