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  1. Asked: In:

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

    sourav209

    The distance between P(2,-3) and Q(10,y) is 10 units. β‡’ √((10-2)Β²+[y-(-3)]Β²) = 10 β‡’ √(64+yΒ²+9+6y) = 10 Squaring both sides 64+yΒ²+9+6y = 100 β‡’ yΒ²+6y-27 = 0 β‡’ yΒ²+9y-3y-27 = 0 β‡’ y(y+9)-3(y+9) = 0 β‡’ (y+9)(y-3) = 0 β‡’ (y+9) = 0 or (y-3) = 0 β‡’ y = -9 or y = 3

    The distance between P(2,-3) and Q(10,y) is 10 units.
    β‡’ √((10-2)Β²+[y-(-3)]Β²) = 10
    β‡’ √(64+yΒ²+9+6y) = 10
    Squaring both sides
    64+yΒ²+9+6y = 100
    β‡’ yΒ²+6y-27 = 0
    β‡’ yΒ²+9y-3y-27 = 0
    β‡’ y(y+9)-3(y+9) = 0
    β‡’ (y+9)(y-3) = 0
    β‡’ (y+9) = 0 or (y-3) = 0
    β‡’ 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 (– 3, 4).

    sourav209

    Point P(x,y) is equidistant from A(3,6) and B(-3,4). Therefore, PA = PB β‡’ √((3-x)Β²+(6-y)Β²) = √((-3-x)Β²)+(4-y)Β²) β‡’ √(9+xΒ²-6x+36+yΒ²-12y) = √(9+xΒ²+6x+16+yΒ²-8y) Squaring both sides 9+xΒ²-6x+36+yΒ²-12y = 9+xΒ²+6x+16+yΒ²-8y β‡’ -12x-4y = -20 β‡’ 3x+y=5 Here is video explanation (ο½žοΏ£β–½οΏ£)～

    Point P(x,y) is equidistant from A(3,6) and B(-3,4). Therefore, PA = PB
    β‡’ √((3-x)Β²+(6-y)Β²) = √((-3-x)Β²)+(4-y)Β²)
    β‡’ √(9+xΒ²-6x+36+yΒ²-12y) = √(9+xΒ²+6x+16+yΒ²-8y)
    Squaring both sides
    9+xΒ²-6x+36+yΒ²-12y = 9+xΒ²+6x+16+yΒ²-8y
    β‡’ -12x-4y = -20
    β‡’ 3x+y=5

    Here is video explanation (ο½žοΏ£β–½οΏ£)～

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  3. Asked: In:

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

    sourav209

    See this for video explanation πŸ˜€πŸ˜Ž

    See this for video explanation πŸ˜€πŸ˜Ž

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  4. Asked: In:

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

    sourav209

    Here is the video Solution 😁✌️

    Here is the video Solution 😁✌️

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  6. Asked: In:

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

    sourav209

    See this for video explanation for this Question✌️

    See this for video explanation for this Question✌️

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  7. Asked: In:

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

    sourav209

    See this Video Explanation ✌️😁

    See this Video Explanation ✌️😁

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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.

    sourav209

    Here is the Video Explanation πŸ˜ƒ

    Here is the Video Explanation πŸ˜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, – 3) and B is (1, 4).

    sourav209

    Here is the Video Explanation for you ✌️

    Here is the Video Explanation for you ✌️

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  11. Asked: In:

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

    sourav209

    See here for video solutionπŸ˜€

    See here for video solutionπŸ˜€

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  12. Asked: In:

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

    sourav209

    See this video explanation 😎

    See this video explanation 😎

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