If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its foci be at (-3, 0), then which one of the following points does not lie on this hyperbola?

Question

If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its foci be at (-3, 0), then which one of the following points does not lie on this hyperbola? (A) (4, √15) (B) (-6 , 2 √10) (C) (6, 5√2) (D) (2 √6 , 5 )

Tardigrade Admin · Accepted Answer

ae =3, e = (3/2 ) , b2 =4((9/4)-1), b2 =5 (x2/4) - (y2/5) = 1

Q. If the vertices of a hyperbola be at $(- 2, 0)$ and $(2, 0)$ and one of its foci be at $(- 3, 0)$ , then which one of the following points does not lie on this hyperbola?

$(4, 15)$

$(- 6, 210)$

$(6, 52)$

$(26, 5)$

$a e = 3, e = \frac{3}{2}, b^{2} = 4 (\frac{9}{4} - 1), b^{2} = 5$
$\frac{x ^{2}}{4} - \frac{y ^{2}}{5} = 1$

Q. If the vertices of a hyperbola be at (−2,0) and (2,0) and one of its foci be at (−3,0), then which one of the following points does not lie on this hyperbola?

(4,15​)

(−6,210​)

(6,52​)

(26​,5)