Mathematics

Mathematics

Problem

Consider the two hyperbolas: H1_1: x216−y29=1\dfrac{x^{2}}{16}-\dfrac{y^{2}}{9}=1 and H2_2: x216−y225=1\dfrac{x^{2}}{16}-\dfrac{y^{2}}{25}=1. Which statement is correct regarding how widely their branches open? a) H1_1 and H2_2 open equally widely. b) Only H1_1 opens more widely. c) Only H2_2 opens more widely. d) The information given is insufficient to decide.

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