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The curves y=4x^(2)+2x-5 and y=x^(3)-x+1...

The curves `y=4x^(2)+2x-5` and `y=x^(3)-x+13` touch each other at the point …………..

Text Solution

Verified by Experts

The correct Answer is:
`(3,34)`
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Knowledge Check

  • If the circles x^(2) + y^(2) = a^(2) and x^(2) + y^(2) - 6x - 8y + 9 = 0 touches each other externally, then a = …….

    A
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    B
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    21
    D
    16

  • The area of the region bounded by the curve y=x^4 - 2x^3 +x^2 +3 , X - axis and the x-co-ordination of the point where y becomes minimum is …..Sq. units

    A
    `1`
    B
    `(91)/(30)`
    C
    `(30)/(9)`
    D
    `4`

  • The line y=x+1 is a tangent to the curve y^(2)=4x at the point …………

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

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