" Hyperbola "(x^(2))/(9)-(y^(2))/(16)=3" Between "(6,4)" But write the authentication of the character. "

If one of the directic of hyperbola (x^(2))/(9)-(y^(2))/(16)=1 is x=-(9)/(5) then the corresponding of hyperbola is

The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

Consider the hyperbola (x^(2))/(9)-(y^(2))/(a^(2))=1 and the circle x^(2)+(y-3)=9 . Also, the given hyperbola and the ellipse (x^(2))/(41)+(y^(2))/(16)=1 are orthogonal to each other. Combined equation of pair of common tangents between the hyperbola and the circle is given be:

Consider the hyperbola (X^(2))/(9)-(y^(2))/(a^(2))=1 and the circle x^(2)+(y-3)=9 . Also, the given hyperbola and the ellipse (x^(2))/(41)+(y^(2))/(16)=1 are orthogonal to each other. Combined equation of pair of common tangents between the hyperbola and the circle is given be

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

Show that the eccentricities of the two hyperbolas (x^(2))/(16) - (y^(2))/(9) = 1 and (x^(2))/(64) - (y^(2))/(36) = 1 are equal.

One of the foci of the hyperbola (x ^(2))/( 16) - (y ^(2))/(9) =1 is