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x^(2)-2x + 3/2=0...

`x^(2)-2x + 3/2=0`

Text Solution

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The correct Answer is:
`1+- sqrt(2)/2i`
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Knowledge Check

  • At ………. on circle x^(2)+y^(2)-2x-3=0 , the tangent is horizontal.

    A
    `(0, pm sqrt(3))`
    B
    `(2, pm sqrt(3))`
    C
    `(1,2), (1,-2)`
    D
    (3, 0)

  • int_(0)^(2) x (2-x ) ^(3/2) dx =……

    A
    `(32 sqrt(2))/(35)`
    B
    ` ( 54 sqrt(2))/( 7)`
    C
    `(35 sqrt(2))/( 32)`
    D
    `(1)/( 35 sqrt(2))`

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    Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents are parallel to the X-axis.

    If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

    Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

    Find the roots of the following qudratic equations by factorisation: (1) 3x^(2)-13x-30=0 (2) x^(2)-(3)/(2)x+(9)/(16)=0 (3) x^(2)-4sqrt(3x)-15=0 (3) sqrt(3x^(2))-7x-6sqrt(3)=0

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