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The point (2,3) is first reflected in th...

The point `(2,3)` is first reflected in the straight line `y=x` and then translated through a distance of `2` units along the positive direction of `x`-axis.The coordinates of the transformed point are

Answer

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Knowledge Check

  • The point (4,1) undergoes the following two successive transformations (i) Reflection about the line y=x (ii) Translation through a distance 2 units along the positive X-axis. Then the final coordinate of the point are

    A
    `(4,3)`
    B
    `(3,4)`
    C
    `(1,4)`
    D
    `((7)/(2),(7)/(2))`

  • The point (4,) undergoes the following three transformations successively (i) Reflection about the line y=x (ii) Transformation through a distance 2 units along the positive direction of x-axis (iii) Rotation through angle pi//4 about the origin in the anticlockwise direction. The final position of the point is given by the coordinates

    A
    `(1/(sqrt(2)),7/(sqrt(2)))`
    B
    `(-2,7sqrt(2))`
    C
    `(-1/(sqrt(2)),7/(sqrt(2)))`
    D
    `(sqrt(2),7sqrt(2))`

  • The point (4,1) undergoes the following three successive transformations , reflection about the line y = x-1 translation through a distance 1 unit along the positive direction rotation thrpough an angle pi/4 about the origin in the anti - clockwise direction Then the coordinates of the final point are ,

    A
    `(4,3)`
    B
    `(7/2,7/2)`
    C
    `(0,3sqrt(2))`
    D
    `(3,4)`

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    Find the equation of the straight line which passes through the point (1,2) and makes such an angle with the positive direction of x-axis whose sine is (3)/(5)

    The point P (a,b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle (pi)/(4) about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are ( - (1)/( sqrt(2)), (7)/( sqrt(2))) , then the value of 2 a - b is equal to :

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