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The area of triangle formed by tangents ...

The area of triangle formed by tangents and the chord of contact from (3, 4) to `y^(2 )= 2x` is

A

`10sqrt(10)`

B

`2sqrt(10)`

C

`(10sqrt(10))/(3)`

D

`(5sqrt(10))/(3)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The area of the triangle formed by the tangents and chord of contact from (x_(1),y_(2)) to the parabola y^(2)=4ax is

    A
    `(y_(1)^(2)-4ax_(1))^(3//2)`
    B
    `2a(y_(1)^(2)-4ax_(1))^(3//2)`
    C
    `(y_(1)^(2)-4ax_(1))^(3//2)`
    D
    none
  • The area of the triangle formed by the tangent and the normal at the points (a,a) on the curve y^2=x^3/(2a-x) and the line x=2a is

    A
    `a^2//4`
    B
    `a^2//2`
    C
    `5a^2//4`
    D
    `9a^2//4`
  • The area of the triangle formed by two tangents from (1,1) to x^(2)+y^(2)+4x+6y+4=0 and their chord of contact is

    A
    `192/5`
    B
    `192/15`
    C
    `192/25`
    D
    `92/25`
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