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The n umber of values of c such that the straight line y = 4x + c touches the curve (x2/4) + y2 = 1 is (1998 - 2 Marks)
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    infinite.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The n umber of values of c such that the straight line y = 4x + c touc...
The given curve is  (an ellipse) and given line is y = 4x + c.
We know that y = mx + c touches the ellipse
Here
∴ two values of c exist
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