First slide

Cartesian plane

Question

To remove the first degree terms in the equation $4 x^{2} - 9 y^{2} - 8 x + 36 y + 4 = 0$ the origin in shifted to the point

Moderate

A

$(1, 2)$
B

$(1, - 2)$
C

$(2, 1)$
D

$(- 2, 1)$

Solution

In order to remove the first degree terms in the
equation $a x^{2} + b y^{2} + 2 g x + 2 f y + c = 0$ the origin is shifted to the point
$(- \frac{g}{a}, - \frac{f}{b})$
Hence, the coordinates of the required point are
$(\frac{4}{4}, - \frac{18}{9}) = (1, - 2)$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App