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Find the points on the X-axis which are ...

Find the points on the X-axis which are at distance of `2sqrt(5)` from the point (7,-4) . How many such points are there ?

Text Solution

AI Generated Solution

To find the points on the X-axis that are at a distance of \(2\sqrt{5}\) from the point \((7, -4)\), we can follow these steps: ### Step 1: Define the Points Let the point on the X-axis be \(P(x, 0)\). The coordinates of the given point are \(Q(7, -4)\). ### Step 2: Use the Distance Formula The distance \(d\) between two points \(P(x, 0)\) and \(Q(7, -4)\) is given by the distance formula: \[ ...
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Knowledge Check

  • The points on z-axis which are at a distance of 6 units from the point (-4,2,-1) are

    A
    `(0,0, pm 5)`
    B
    `(0,0,pm 3)`
    C
    (0,0,3), (0,0,-5)
    D
    (0,0,-3), (0,0,5)
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