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A: The focus of the parabola (y-3)^(2)=6...

A: The focus of the parabola `(y-3)^(2)=6(x+3)` is (-3//2,2) .
R : The focus of the parabola `(y-beta)^(2)=+-4a(x-alpha)` is `(alpha+-a,beta)`.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The focus of the parabola y^(2)-x-2y+2=0 is

    A
    (1/4,0)
    B
    (1,2)
    C
    (3/4,0)
    D
    (5/4,1)

  • A : The foci of the hyperbola ((x+2)^(2))/( 9) -(( y-3) ^(2))/( 27) = 1 are (4,3) ,(-8,3). R : The foci of the hyperbola ((x-alpha )^(2))/( a^(2)) -((y-beta )^(2))/( b^(2) ) =1 are ( alpha +- ae , beta )

    A
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true but R is not correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • The vertex and the focus of the parabola 2y^(2) + 5x - 6y + 1 =0 respectively

    A
    `((7)/(10), (3)/(2)), ((3)/(40) ,(3)/(2))`
    B
    `((-7)/(10), (3)/(2)), ((53)/(40) ,(3)/(2))`
    C
    `((7)/(10), (-3)/(2)), ((7)/(10) ,(7)/(8))`
    D
    `((-7)/(10), (-3)/(2)), ((7)/(10) ,(17)/(8))`

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