The vertices of a hyperbola {\H} are (\pm 6,0) and its eccentricity is {\sqrt{5}}/{2}. Let {\N} be the normal to {\H} at a point in the first quadrant and parallel to the line \sqrt{2} x+y=2 \sqrt{2}. If {\d} is the length of the line segment of {\N} between {\H} and the {\y}-axis then {\d}^2 is equal to _______. [25-Jan-2023 Shift 1]

Hyperbola

Section: Mathematics

Question : 36 of 92

Marks: +1, -0

The vertices of a hyperbola H are (±6,0) and its eccentricity is ‌

√5

. Let N be the normal to H at a point in the first quadrant and parallel to the line √2x+y=2√2. If d is the length of the line segment of N between H and the y-axis then d2 is equal to _______.

[25-Jan-2023 Shift 1]

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