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  1. Asked: In:

    Find the values of y for which the distance between the points P(2, โ€“ 3) and Q(10, y) is 10 units.

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    sourav209

    The distance between P(2,-3) and Q(10,y) is 10 units. โ‡’ โˆš((10-2)ยฒ+[y-(-3)]ยฒ) = 10 โ‡’ โˆš(64+yยฒ+9+6y) = 10 Squaring both sides 64+yยฒ+9+6y = 100 โ‡’ yยฒ+6y-27 = 0 โ‡’ yยฒ+9y-3y-27 = 0 โ‡’ y(y+9)-3(y+9) = 0 โ‡’ (y+9)(y-3) = 0 โ‡’ (y+9) = 0 or (y-3) = 0 โ‡’ y = -9 or y = 3

    The distance between P(2,-3) and Q(10,y) is 10 units.
    โ‡’ โˆš((10-2)ยฒ+[y-(-3)]ยฒ) = 10
    โ‡’ โˆš(64+yยฒ+9+6y) = 10
    Squaring both sides
    64+yยฒ+9+6y = 100
    โ‡’ yยฒ+6y-27 = 0
    โ‡’ yยฒ+9y-3y-27 = 0
    โ‡’ y(y+9)-3(y+9) = 0
    โ‡’ (y+9)(y-3) = 0
    โ‡’ (y+9) = 0 or (y-3) = 0
    โ‡’ y = -9 or y = 3

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  2. Asked: In:

    Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (โ€“ 3, 4).

    Best Answer
    sourav209

    Point P(x,y) is equidistant from A(3,6) and B(-3,4). Therefore, PA = PB โ‡’ โˆš((3-x)ยฒ+(6-y)ยฒ) = โˆš((-3-x)ยฒ)+(4-y)ยฒ) โ‡’ โˆš(9+xยฒ-6x+36+yยฒ-12y) = โˆš(9+xยฒ+6x+16+yยฒ-8y) Squaring both sides 9+xยฒ-6x+36+yยฒ-12y = 9+xยฒ+6x+16+yยฒ-8y โ‡’ -12x-4y = -20 โ‡’ 3x+y=5 Here is video explanation (๏ฝž๏ฟฃโ–ฝ๏ฟฃ)๏ฝž

    Point P(x,y) is equidistant from A(3,6) and B(-3,4). Therefore, PA = PB
    โ‡’ โˆš((3-x)ยฒ+(6-y)ยฒ) = โˆš((-3-x)ยฒ)+(4-y)ยฒ)
    โ‡’ โˆš(9+xยฒ-6x+36+yยฒ-12y) = โˆš(9+xยฒ+6x+16+yยฒ-8y)
    Squaring both sides
    9+xยฒ-6x+36+yยฒ-12y = 9+xยฒ+6x+16+yยฒ-8y
    โ‡’ -12x-4y = -20
    โ‡’ 3x+y=5

    Here is video explanation (๏ฝž๏ฟฃโ–ฝ๏ฟฃ)๏ฝž

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  3. Asked: In:

    Find the coordinates of the point which divides the join of (โ€“1, 7) and (4, โ€“3) in the ratio 2 : 3.

    Best Answer
    sourav209

    See this for video explanation ๐Ÿ˜€๐Ÿ˜Ž

    See this for video explanation ๐Ÿ˜€๐Ÿ˜Ž

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  4. Asked: In:

    Find the coordinates of the points of trisection of the line segment joining (4, โ€“1) and (โ€“2, โ€“3).

    Best Answer
    sourav209

    Here is the video Solution ๐Ÿ˜โœŒ๏ธ

    Here is the video Solution ๐Ÿ˜โœŒ๏ธ

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  6. Asked: In:

    Find the ratio in which the line segment joining the points (โ€“ 3, 10) and (6, โ€“ 8) is divided by (โ€“ 1, 6).

    Best Answer
    sourav209

    See this for video explanation for this QuestionโœŒ๏ธ

    See this for video explanation for this QuestionโœŒ๏ธ

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  7. Asked: In:

    Find the ratio in which the line segment joining A(1, โ€“ 5) and B(โ€“ 4, 5) is divided by the x-axis. Also find the coordinates of the point of division.

    Best Answer
    sourav209

    See this Video Explanation โœŒ๏ธ๐Ÿ˜

    See this Video Explanation โœŒ๏ธ๐Ÿ˜

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  8. Asked: In:

    If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

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    sourav209

    Here is the Video Explanation ๐Ÿ˜ƒ

    Here is the Video Explanation ๐Ÿ˜ƒ

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  9. Asked: In:

    Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, โ€“ 3) and B is (1, 4).

    Best Answer
    sourav209

    Here is the Video Explanation for you โœŒ๏ธ

    Here is the Video Explanation for you โœŒ๏ธ

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  11. Asked: In:

    If A and B are (โ€“ 2, โ€“ 2) and (2, โ€“ 4), respectively, find the coordinates of P such that AP =3/7 AB and P lies on the line segment AB.

    Best Answer
    sourav209

    See here for video solution๐Ÿ˜€

    See here for video solution๐Ÿ˜€

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  12. Asked: In:

    Find the coordinates of the points which divide the line segment joining A(โ€“ 2, 2) and B(2, 8) into four equal parts.

    Best Answer
    sourav209

    See this video explanation ๐Ÿ˜Ž

    See this video explanation ๐Ÿ˜Ž

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