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If tangent to the curve y^(2)+3x-7=0 at ...

If tangent to the curve `y^(2)+3x-7=0` at the point (h,k) is parallel to line x-y=4, then value of k is ___ ?

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`(-3)/(2)`
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Knowledge Check

  • If the tangent the curve y^(2) + 3x - 7 = 0 at the point (h,k) is parallel to the line x - y = 4 , then the value of k is

    A
    `-(2)/(3)`
    B
    `-(3)/(2)`
    C
    `(3)/(2)`
    D
    `(2)/(3)`

  • The point at which the tangent to the curve y = 2 x^(2) - x + 1 is parallel to the line y = 3 x + 9 is

    A
    (2, 1)
    B
    (1, 2)
    C
    (3,9)
    D
    (-2, 1)

  • The point on the curve y = 6 x - x^(2) where the tangent is parallel to the line 4 x - 2y - 1 = 0 is

    A
    (2, 8)
    B
    (8, 2)
    C
    (6, 1)
    D
    (4,2)

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    Find the equation of the tangent to the curve x^2+3y-3=0 , which is parallel to the line y=4x-5 .

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