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If P, Q are the points of trisection of...

If P, Q are the points of trisection of A(1, -2), B(-5, 6) then PQ =

A

10

B

5

C

`10//3`

D

`5//2`

Text Solution

Verified by Experts

The correct Answer is:
C
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Find the co-ordionates of the points of trisection of the line segment joining the points A(3,-3) and B(-5,2).

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Knowledge Check

  • If (2, -3), (-2, 1) are the points of trisection of A, B then A and B are

    A
    (6, -7), (-6, 5)
    B
    (6, -7), (-6, 4)
    C
    (5, -7), (-6, 4)
    D
    (5, -7), (-6, 5)

  • In Delta ABC , angleABC=90^(@) . If P and Q are points of trisection of AB, then bar(CP)^(2)+bar(CQ)^(2) =

    A
    `5/3(bar(AB))^(2)`
    B
    `5/9(bar(AB))^(2)`
    C
    `5/4(bar(AB))^(2)`
    D
    `1/9(bar(AB))^(2)`

  • 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)`

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    If p and q are the zeros of the polynomial t^(2) - 4t + 3 then 1/p + 1/q - 2pq + 14/3 = ………….

    If A = (1, 2, 3) and B(3, 5, 7) and P,Q are the points on AB such that AP = PQ = QB, then the mid point of PQ is

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