The length of the chord of the circle $x^{2} + y^{2} + 4 x - 7 y + 12 = 0$ along the $y -$ axis is

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

N o n e o f t h e s e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $1$
Given circle is, $x^{2} + y^{2} + 4 x - 7 y + 12 = 0$
$\Rightarrow g = - 2, f = 7 / 2, c = 12$
Hence length of chord along y-axis is $= \sqrt{4 f^{2} - 4 c} = \sqrt{49 - 48} = 1$

Suggest Corrections

Similar questions

x^{2} + y^{2} + 4 x - 7 y + 12 = 0

y = x

x

2

\sqrt{3} y - x = 0

x^{2} + y^{2} + 2 x + 3 y + 1 = 0

x^{2} + y^{2} + 4 x + 3 y + 2 = 0

x^{2} + y^{2} = 12

x^{2} + y^{2} - 4 x + 3 y - 2 = 0

x^{2} + y^{2} + 3 x + 2 y - 8 = 0

Join BYJU'S Learning Program