﻿ Find the equation of the curve 2x2 + y2 – 3x + 5y – 8 = 0 when the origin is transferred to the point (–1, 2) without changing the direction of axes. : Kaysons Education

# Find The Equation Of The Curve 2x2 + y2 – 3x + 5y – 8 = 0 When The Origin Is Transferred To The Point (–1, 2) Without Changing The Direction Of Axes.

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## Question

### Solution

Correct option is

2x2 + y2 – 7+ 9+ 11 = 0

Here we want to shift the origin to the point (–1, 2) without changing the direction of axes. Then we replace by – 1 and by + 2 in the equation of given curve then the transformed equation is:-

2 (– 1)2 + (+ 2)2 – 3 (– 1) + 5 (+ 2) – 8 = 0

⇒                                2x2 + y2 – 7+ 9+ 11 = 0

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