1.

विभाजित होता है, वह ज्ञातFind the ratio in which the segment joining the points (1. - 3) and (4, 5) isdivided by x-axis ? Also find the coordinates of this point on x-axis.​

Answer»

any point on the X axis is of the FORM (x,0)

LET the ratio be k:1

Using section formula for Y coordinate

0 = \frac{(1 \times - 3) + (5 \times k)}{k + 1} \\ 0 = - 3 + 5k \\ 3 = 5k \\ k = \frac{3}{5}

since the ratio is k:1

therefore it can be WRITTEN as

3/5:1

So the required ratio is

3:5

Now using section formula for X coordinate

x = \frac{(1 \times 5) + (4 \times 3)}{5 + 3} \\ x = \frac{5 + 12}{8} \\ x = \frac{17}{8}

here is your answer :)


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