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If the vertex of the conic y^(2) - 4y ...

If the vertex of the conic ` y^(2) - 4y = 4 x - 4a ` always lies between the straight lines x + y = 3 and 2 x + 2y - 1 = 0 then

A

`2 lt a lt 4 `

B

`-(1)/(2) lt a lt 2 `

C

`0 lt a lt 2 `

D

`-(1)/(2) lt a lt (3)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The distance between the straight lines 4x - 3y + 10 = 0 and 4x - 3y - 10 = 0 is _

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    0
    B
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  • The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

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  • The straight lines x + y = 0 , 5 x + y = 4 and x + 5y = 4 form _

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    B
    an equilateral triangle
    C
    a scalene triangle
    D
    a right angled triangle

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