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The coordinates of the points A and B ar...

The coordinates of the points A and B are respectively (-3,2) and (2,3). P and Q are points on the line joining A and B such that AP=PQ. A square PQRS is constructed on PQ as one side, the coordinates of R can be

A

`(-4/3,7/3)`

B

`(0,13/3)`

C

`(1/3,8/3)`

D

`(2/3,1)`

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • P and Q are points on the line joining A(-2, 5), B(3, -1) such that AP = PQ = QB. Then the mid point of PQ is

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

  • Let coordinates of the points A and B are (5,0) and (0,7) respectively. P and Q the variable point lying on the x-axis and y-axis respectively so that PQ is always perpendicular to the line AB. The locus of the point of intersection BP and AQ is

    A
    `x^2+y^2-5x+7y =0`
    B
    `x^2+y^2+5x-7y =0`
    C
    `x^2+y^2+5x+7y =0`
    D
    `x^2+y^2-5x-7y =0`

  • If A and B are the points (-3, 4), (2, 1) then the coordinates of point C on AB produced such that AC = 2BC are

    A
    (2, 4)
    B
    (3, 7)
    C
    (7, -2)
    D
    `(-1//2, 5//2)`

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