Question

19. Embroidery on cloth
Meera embroidered a leaf by
knitting on her table cloth. Her
son traced the design on a
coordinate plane aas shown in
figure.
(i) the ratio in which C divides the line joining W and E is
(A) 1:1
(B) 2:5
(C) 5:3
(D) 5:4
(ii) find the ratio in which x-axis divides the line joining P and Dis
(A) 8:3
(B) 2:1
(C) 4:5
(D) 1:1
(iii) find the ratio in which y-axis divides the line joining Land U is
(A) 4:7
(B) 9:2
(C) 1:4
(D) 7:9​

Answer 1

Answer:

Embroidery on cloth

Meera embroidered a leaf by

knitting on her table cloth. Her

son traced the design on a

coordinate plane aas shown in

figure.

Step-by-step explanation:

(i) A) 1:1

(ii) b) 2:1

(iii) C) 1:4

Answer 2

Question 1) :- The ratio in which C divides the line joining W and E is

(A) 1:1

(B) 2:5

(C) 5:3

(D) 5:4

Answer :-

given that,

• Coordinates of W are = (-4 , -3)
• Coordinates of E are = (4 , -3)
• Coordinates of C are = (1 , -3)

Let us assume that, C(1, -3) divides W and E in the ratio m : n .

then, using section formula we get,

→ 1 = {m*4 + n(-4)} / m + n

→ m + n = 4m - 4n

→ n + 4n = 4m - m

→ 5n = 3m

→ m / n = 5 / 3

→ m : n = 5 : 3 (C) (Ans.)

Question 2) :- find the ratio in which x-axis divides the line joining P and D is

(A) 8:3

(B) 2:1

(C) 4:5

(D) 1:1

Answer :-

given that,

• Coordinates of P are = (-4 , 8)
• Coordinates of D are = (5 , -4)

we know that, at x - axis, value of y coordinates is 0 .

So, let us assume that, x axis divides P and D in the ratio m : n .

then, using section formula we get,

→ 0 = {m*(-4) + n*8} / m + n

→ 0 = (-4m) + 8n

→ 4m = 8n

→ m/n = 8/4

→ m : n = 2 : 1 (B) (Ans.)

Question 3) :- find the ratio in which y-axis divides the line joining L and U is

(A) 4:7

(B) 9:2

(C) 1:4

(D) 7:9

Answer :-

given that,

• Coordinates of L are = (4 , 9)
• Coordinates of U are = (-7 , 2)

we know that, at y - axis, value of x coordinates is 0 .

So, let us assume that, y axis divides L and U in the ratio m : n .

then, using section formula we get,

→ 0 = {m*(-7) + n*4} / m + n

→ 0 = (-7m) + 4n

→ 7m = 4n

→ m/n = 4/7

→ m : n = 4 : 7 (A) (Ans.)

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