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The equations of the sides AB and AC of a triangle ABC are `(A+1)x+hy=4` and `2x+(1-lambda)y+lambda=0` respectively.Its vertex A is on the y -axis and its orthocuetire is `(1,2)`.The length of the tangent from the point C to the part of the parabola `y^(2)=6` is in the first quadrant is

A

4

B

2

C

sqrt(6)

D

2sqrt(2)`

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Knowledge Check

  • The equations of perpendicular bisectors of the sides AB and AC of a triangle ABC are x-y+5=0 and x+2y=0 respectively If the point A is (1,-2) the equation of the line BC is

    A
    `23x+4y-40=0`
    B
    `23x+14y+40=0`
    C
    `14x+23y-40=0`
    D
    `14x+23y+40=0`

  • Let the equations of perpendicular bisectors of sides AC and AB of Delta ABC be x+y=3 and x-y=1 respectively Then vertex A is is (0,0) Length of side BC of the DeltaABC is

    A
    `sqrt2`
    B
    `sqrt8`
    C
    `sqrt12`
    D
    `sqrt20`
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