PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

Find the equation of the hyperbola whose  foci are (4, 2) and (8, 2) and eccentricity is 2.

Find the equation of the hyperbola whose vertices are at (0 ± 7) and foci at \[\left( 0, \pm \frac{28}{3} \right)\] . 

Find the equation of the hyperbola whose vertices are at (± 6, 0) and one of the directrices is x = 4.

Find the equation of the hyperbola whose foci at (± 2, 0) and eccentricity is 3/2. 

Find the equation of the hyperboala whose focus is at (5, 2), vertex at (4, 2) and centre at (3, 2).

Find the equation of the hyperboala whose focus is at (4, 2), centre at (6, 2) and e = 2.

If P is any point on the hyperbola whose axis are equal, prove that SP. S'P = CP².

Find the equation of the hyperbola satisfying the given condition :

vertices (± 2, 0), foci (± 3, 0)

Find the equation of the hyperbola satisfying the given condition :

 vertices (0, ± 5), foci (0, ± 8)

Find the equation of the hyperbola satisfying the given condition :

vertices (0, ± 3), foci (0, ± 5)

Find the equation of the hyperbola satisfying the given condition :

 foci (0, ± 13), conjugate axis = 24

find the equation of the hyperbola satisfying the given condition:

 vertices (± 7, 0), \[e = \frac{4}{3}\]

Find the equation of the hyperbola satisfying the given condition:

 foci (0, ± \[\sqrt{10}\], passing through (2, 3).

Show that the set of all points such that the difference of their distances from (4, 0) and (− 4,0) is always equal to 2 represents a hyperbola.

Write the equation of the hyperbola whose vertices are (± 3, 0) and foci at (± 5, 0).

Equation of the hyperbola whose vertices are (± 3, 0) and foci at (± 5, 0), is

The difference of the focal distances of any point on the hyperbola is equal to

The foci of the hyperbola 9x² − 16y² = 144 are

The equation of the hyperbola whose foci are (6, 4) and (−4, 4) and eccentricity 2, is