Question

3. The ratio in which the line segment joining A(6, 3) and B(-2,-5) is divided by the x
(a) 2:3 (b) 3:2 (c) 3:5 (d) 1:3​

Answer 1

Answer:3:5

Step-by-step explanation:

Answer 2

Step-by-step explanation:

The line segment is (3,−3) and B(−2,7)

Let the point on x - axis be (x,0) which divides the line in the ratio of m:n.

Then,

using section formula,

$(xy) = (\frac{m \times x2 \times n \times x1}{m + n} or \: \frac{m \times y2 + n \times y1}{m + n} )$

$0 = \frac{7m - 3n}{m + n}$

$7m = 3n$

$\frac{m}{n} = \frac{3}{7}$

Thus, the coordinates of x-axis will be:

$x = \frac{3( - 2) + 7(3)}{7 + 3}$

$x = \frac{15}{10} = \frac{3}{2}$

Thus, the line segment AB is divided in the ratio

$\frac{3}{7}$

at the point

$( \frac{3}{2} \: 0)$

Thus, 2 times the x-coordinate is 3

Hence , Option A is the correct Option 2:3