First slide

Cartesian plane

Question

$T h e e q u a t i o n o f a c u r v e r e f e r r e d t o t h e n e w a x e s w h e n t h e o r i g i n s h i f t e d t o (4, 5) w i t h o u t c h a n g i n g t h e d i r e c t i o n o f a x e s i s X^{2} + Y^{2} = 36 t h e n t h e e q u a t i o n o f t h e c u r v e w i t h r e f e r e n c e t o t h e o r i g i n a l a x e s$

Moderate

A

$x^{2} + y^{2} - 8 x - 10 y - 5 = 0$
B

$x^{2} + y^{2} - 8 x - 10 y + 5 = 0$
C

$x^{2} + y^{2} - 8 x + 10 y + 5 = 0$
D

$x^{2} + y^{2} + 8 x - 10 y + 5 = 0$

Solution

$G i v e n t r a n s f o r m e d e q u a t i o n o f t h e c u r v e a s X^{2} + Y^{2} = 36 S u b s t i t u t e X = x - 4, Y = y - 5 {(x - 4)}^{2} + {(y - 5)}^{2} = 36 x^{2} + y^{2} - 8 x - 10 y + 16 + 25 = 36 x^{2} + y^{2} - 8 x - 10 y + 41 = 36 x^{2} + y^{2} - 8 x - 10 y + 5 = 0$

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