You visited us 1 times! Enjoying our articles? Unlock Full Access!

Normal

The line a x+...

Question

The line $a x + b y + c = 0$ is a normal to the circle $x^{2} + y^{2} = 25.$ The portion of the line $a x + b y + c = 0$ intercepted by this circle is of length

Open in App

Solution

For the circle $x^{2} + y^{2} = r^{2},$ the length of intercepted part is diameter i.e., $2 r .$
So, in this case length is $10.$

Suggest Corrections

Similar questions

a x + b y + c = 0

x^{2} + y^{2} = r^{2}

a x + b y + c = 0

a x + b y + c = 0

x^{2} + y^{2} = 25.

a x + b y + c = 0

a x + b y + c = 0

x^{2} + y^{2} - 2 x = \frac{3}{5}

x^{2} + y^{2} + 2 x - 4 y + 1 = 0

(a, b)

a x + b y = c

x^{2} + y^{2} = 16

x^{2} + y^{2} - 4 x - 4 y = 0

x^{2} + y^{2}

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program