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KCET2009MathematicsParabola

The number of values of c such that the line y=4 x+c touches the curve x² 4 +y²=1 is

Options

  1. A1
  2. B2
  3. C0

Correct answer

B. 2

Step-by-step solution

Given, y =4 x + c and x ² 4 + y ²=1 Condition for tangency, array ll & c²=a² m²+b² & c²=4(4)²+1² & c²=65 & c= 65 array Hence, for two values of c, the line touches the curve.

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