The centre of the hyperbola $9 x^{2}-36 x-16 y^{2}+96 y-252=0$ is Ans $\times$ i. $(-2,-3)$

The centre of the hyperbola $9 x^{2}-36 x-16 y^{2}+96 y-252=0$ is Ans $\times$ i. $(-2,-3)$
  1. $(-2,-3)$
  2. $(2,-3)$
  3. $(-2,3)$
  4. $(2,3)$

Solution

$9 x^{2}-36 x-16 y^{2}+96 y-252=0$ $9(x-2)^{2}-16(y-3)^{2}=\frac{22}{532}$ center $\rightarrow(2,3)$

Asked in: MHT CET 2020 (20 Oct Shift 1)

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