The line $ax + by + c = 0$ is normal to the circle $x^2 + y^2 + 2gx + 2fy + d = 0$ if

  • A
    $ag + bf + c = 0$
  • B
    $ag + bf - c = 0$
  • C
    $ag - bf + c = 0$
  • D
    $ag - bf - c = 0$

Explore More

Similar Questions

Find the equation of the circle having normals $(x-1)(y-2)=0$ and a tangent $3x+4y=6$.

The equation of one of the common tangents of the circle $x^2+y^2-6y+4=0$ and the parabola $y^2=x$ is

Match the points on the curve $2y^2 = x + 1$ with the slopes of the normals at those points and choose the correct answer.
$A. (7, 2)$$1. -4\sqrt{2}$
$B. (0, 1/\sqrt{2})$$2. -8$
$C. (1, -1)$$3. 4$
$D. (3, \sqrt{2})$$4. 0$
$5. -2\sqrt{2}$

The equation of a circle which has a tangent $3x + 4y = 6$ and two normals given by $(x - 1)(y - 2) = 0$ is

The equations of the tangents drawn from the origin to the circle $x^2+y^2+2gx+2fy+g^2=0$ are

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