Maths-
General
Easy

Question

The straight line x + y = k touches the parabola y = x – x2, if k =

  1. 0    
  2. – 1    
  3. 1    
  4. None    

hintHint:

replace the value of y into the equation of parabola and solve the resulting equation.

The correct answer is: 1


    k=1
    Given, X+y=k
    y=k-x
    and y=x-x2
    => k-x =  x-x2
    since the line touches the curve,
    D =0
    b2-4ac=0
    4-4k=0
    4k=4
    k=1

    since only one point of contact is present, D=0  gives the real root.

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