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In the figure, line XY|| side BC. AX=2, ...

In the figure, line `XY||` side `BC`. `AX=2`, `XB=4`, `AY=3` and `YC=a` then the value of `a` is ……. .

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Knowledge Check

  • In the given figure, the line segment XY is parallel to side AC of Delta ABC and divides the triangle into two parts of equal areas, then ratio of AX and AB is

    A
    `sqrt(2) + 1 + sqrt(2)`
    B
    ` 2 - sqrt(2) : 2 `
    C
    ` 1 : sqrt(2)`
    D
    ` 1 : 1 `

  • In the figure given below, XY parallel to AC. If XY divides the triangle into equal Parts, then value of AX/ AB is equal to

    A
    `1/2`
    B
    `1/sqrt(2)`
    C
    `(sqrt(2)+1)/(sqrt(2))`
    D
    `(sqrt(2)-1)/sqrt(2)`

  • If ax + by =3, bx - ay =4 and x ^(2) + y ^(2) = 1, then the value of a ^(2) + b ^(2) is :

    A
    17
    B
    16
    C
    9
    D
    25

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