Conquer April Attempt: Hyperbola (18/04/21)

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Question 1

A ray originating from the point (5,0) is incident on the hyperbola 9x² -16y² = 144 at the point P with abscissa 8 . The equation of the reflected ray after first reflection and point P lying in first quadrant.

• A
• B
• C
• D

Question 2

Find the coordinates of the foci and the vertices, and the length of the latus rectum of the hyperbola 16x² -9y² = 576 respectively .

• A;; 9
• B;; 10
• C;;54/3
• D;;64/3

Question 3

If the equation 4x² + ky² = 18 represents a rectangular hyperbola, then k =

• A-6
• B–4
• C-3
• D-2

Question 4

The equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13 is

• A9x² – 144 y² = 900
• B25x² – 144 y² = 900
• C25x² – 144 y² = 200
• DNone of these

Question 5

For the hyperbola , which of the following remains constant when α varies?

• AAbscissae of vertices
• BAbscissae of foci
• CEccentricity
• DDirectrix

Question 6

If any point on a hyperbola is (3 tanθ, 2 secθ) then eccentricity of the hyperbola is

• A
• B
• C
• Dnone of these

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