Prove that the perpendicular focal chords of a rectangular hyperbola are equal.

Hyperbola- Rectangular hyperbola

Prove that the eccentricity of a rectangular hyperbola is equal to sqrt2 .

Prove that the eccentricity of a rectangular hyperbola is equal to sqrt2 .

PQ and RS are two perpendicular chords of the rectangular hyperbola xy=c^(2). If C is the center of the rectangular hyperbola,then find the value of product of the slopes of CP,CQ,CR, and CS.

P Q and R S are two perpendicular chords of the rectangular hyperbola x y=c^2dot If C is the center of the rectangular hyperbola, then find the value of product of the slopes of C P ,C Q ,C R , and C Sdot

P Q and R S are two perpendicular chords of the rectangular hyperbola x y=c^2dot If C is the center of the rectangular hyperbola, then find the value of product of the slopes of C P ,C Q ,C R , and C Sdot

P Q and R S are two perpendicular chords of the rectangular hyperbola x y=c^2dot If C is the center of the rectangular hyperbola, then find the value of product of the slopes of C P ,C Q ,C R , and C Sdot

Prove that the least focal chord of a parabolaa is it rectum.

Prove that the least focal chord of a parabola is the latus rectum .