Question

The line segment joining the points P(-3, 2) and Q(5, 7) is divided by the
y-axis in the ratio
(a) 3:1
(b) 3:4
(d) 3:5
(c) 3:2
​

Answer 1

The line segment joining the points P(-3, 2) and Q(5, 7) is divided by the

y-axis in the ratio  3:5

Given:

The line segment joining the points P(-3, 2) and Q(5, 7)

To Find:

Ratio in which y axis divide the segment

Solution:

Concept/Formula to be used:

x coordinate of any point at y axis is 0

coordinate of point dividing point (x₁ , y₁) and (x₂ , y₂) in m : n ratio is given by:

$\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}$

Substitute x₁ = -3 , x₂ = 5 and x coordinate = 0 and solve for m and n

$\dfrac{m(5)+n(-3)}{m+n} =0$

5m - 3n = 0

=> 5m = 3n

=> m/n = 3/5

=> m : n = 3 : 5

Correct option is d) 3: 5

The line segment joining the points P(-3, 2) and Q(5, 7) is divided by the

y-axis in the ratio  3:5

Learn More:

To divide a line segment AB in the ratio 3:4, we draw a ray AX, so ...

brainly.in/question/13663596

Draw a line segment of length 8 cm and divide it in the ratio 2:3 ...

brainly.in/question/13087562

find the ratio in which y axis divides the line segment joining the ...

brainly.in/question/11827274

Answer 2

Step-by-step explanation:

this is ur answer vro

please Mark as brainlist