Q. 8

# Find a point on the x-axis, which is equidistant from the point (7, 6) and (3, 4).

Answer :

Key points to solve the problem:

• Idea of distance formula- Distance between two points A(x_{1},y_{1}) and B(x_{2},y_{2}) is given by- AB =

As, the point is on x-axis so y-coordinate is 0.

Let the coordinate be (x,0)

Given distance of (x,0) from (7,6) and (3,4) is same.

∴ using distance formula we have:

∴ point on x-axis is (7.5,0)

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**(i) x ^{2} + xy – 3x – y + 2 = 0**

**(ii) x ^{2} – y^{2} – 2x + 2y = 0**

**(iii) xy – x – y + 1 = 0**

**(iv) xy – y ^{2} – x + y = 0**

Find a point on the x-axis, which is equidistant from the point (7, 6) and (3, 4).

RD Sharma - Mathematics