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let P(asec#,btan#) and Q(asec$,btan$),where #+$=90 degrees, be two points on the hyperbola x 2 / a 2 – y 2 /b 2 =1.If (h,k) is the point of the normals at P and Q,then k is equal to...(ans in terms of a and b)

let P(asec#,btan#) and Q(asec$,btan$),where #+$=90 degrees, be two points on the hyperbola x2/a2 – y2/b2=1.If (h,k) is the point of the normals at P and Q,then k is equal to...(ans in terms of a and b)

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1 Answers

Ravi
askIITians Faculty 69 Points
8 years ago
Find the derivative of the hyperbola (even if it contains y).
Find the slope at P and Q. Find their negative reciprocal. Those would be the slopes of the normals at P and Q. You have the slope and a point through which each of the normals pass(i.e. P and Q), Form the eqns and solve for y=k

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