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in Mathematics by (83.6k points)

If y1 , y2 are the ordinates of two points P and Q on the parabola and y3 is the ordinate of the point of intersection of tangents at P and Q, then

(a) y1 , y2 , y3 are in A.P. 

(b) y1 , y3 , y2 are in A.P.

(c) y1 , y2 , y3 are in G.P. 

(d) y1 , y3 , y2 are in G.P.

1 Answer

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Best answer

Correct option  (b) y1 , y3 , y2 are in A.P.

Explanation:

Let the co-ordinates of P and Q be (at12 2at1) and at2Let the co-ordinates of P and Q be y2 = 2at2.  The co-ordinates of the point of intersection of the tangents at P and Q are

⇒ y1, y3 and y2 are in A.P.

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