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The number of values of c such that the ...

The number of values of `c` such that the straight line `y=4x+c` touches the curve `(x^2)/4+(y^2)/1=1` is 0 (b) 1 (c) 2 (d) infinite

A

0

B

1

C

2

D

infinite

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

    A
    `c = 0`
    B
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    C
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    D
    none of these

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    a=2, b=0
    B
    a=-2, b=4
    C
    a=0, b=2
    D
    a=4, b=-2

  • The number of circles that touch all the straight lines x+y-4=0, x-y+2=0 and y=2 , is

    A
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    B
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    D
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