Maths-
General
Easy

Question

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

  1. y1, y2, y3 are in A.P.    
  2. y1, y3, y2 are in A.P.    
  3. y1, y2, y3 are in G.P.    
  4. y1, y3, y2 are in G.P.    

The correct answer is: y1, y3, y2 are in A.P.


    P(x1, y1) Q(x2, y2)
    Point of intersection of P and Q.
    (x3, y3) = open parentheses square root of x subscript 1 end subscript x subscript 2 end subscript end root comma fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fraction close parentheses
    thereforey3 = fraction numerator y subscript 1 end subscript plus y subscript 2 end subscript over denominator 2 end fractionrightwards double arrow y1, y3, y2 are in A.P.

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