Maths-
General
Easy

Question

If the curveblank y equals p x to the power of 2 end exponent plus q x plus r blankpasses through the point (1,2) and the line y = x touches it at the origin, then the values of p,q and r are

  1. p = 1, q = –1, r = 0    
  2. p = 1, q = –1, r = 0    
  3. p = –1, q = 1, r = 0    
  4. p = 1, q = 2, r = 3    

The correct answer is: p = 1, q = –1, r = 0


    Curve passes through the pointblank left parenthesis 12 right parenthesis blank therefore 2 equals p plus q plus r
    Curve passes through the origin
    therefore r equals 0
    The euqation of the tangent atblank left parenthesis 00 right parenthesis blankis
    rightwards double arrow y equals q x comma p equals 1 comma q equals 1 comma r equals 0

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