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Definition of a Hyperbola

A straight li...

Question

A straight line passing through the centre which is perpendicular to the transverse axis doesn't meet hyperbola in a real point.

A

False

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B

True

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P

is a point on the hyperbola

\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1

N

is the foot of perpendicular from

P

on the transverse axis. The tangent to the hyperbola at

P

meets the transverse axis at

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O

is the centre of hyperbola, then the value of

O T \times O N

P

is a point on the hyperbola

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

N

is the foot of the perpendicular from

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P

meets the transverse axis at

T

O

is the centre of the hyperbola, then

O T

O N

Q. A hyperbola has its centre at the origin, passes through the point

(4, 2)

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-axis. Then the eccentricity of the hyperbola is :

Q. The length of the transverse axis along x-axis with centre at origin of a hyperbola is 7 and it passes through the point (5,-2). The equation of the hyperbola is

Q. P is a point on the hyperbola

\frac{x^{2}}{3} - \frac{y^{2}}{5} = 1

, N is the foot of the perpendicular from P on the transverse axis . The tangent to the hyperbola at P meets the transverse axis at T . If O is the centre of the hyperbola, then find the value of OT . ON .

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