Question

card
ond.
17. In the school garden Ajay(A), Brijesh(B), Chinki(C) and Deepak{D) planted their flower plants
of Rose, Sunflower, Champa and jasmine respectively as shown in sine following figure. Ata
student Eshan wanted to plant her flower in this area. The teacher instructed Eshan to plant
his flower plant at a point 5 such that CE: EB = 3:2.
A[3.7).
B(87)
C/3.21
DA 10.21
10 11फाइंड द कोऑर्डिनेटर ऑफ प्वाइंट व्हेयर शाल हैव टू प्लांट्स फ्लावर प्लांट ​

Answer 1

Answer:

from the data 1,4,9,16,25,29 if 29 is removed then the probability of getting a number which is neither Prime nor composite is

Step-by-step explanation:

from the data 1,4,9,16,25,29 if 29 is removed then the probability of getting a number which is neither Prime nor composite is

Answer 2

Step-by-step explanation:

Given: In the school garden Ajay(A), Brijesh(B), Chinki(C) and Deepak(D) planted their flower plants [4] of Rose, Sunflower, Champa and Jasmine respectively as shown in the following figure.

A fifth student Eshan wanted to plant her flower in this area. The teacher instructed Eshan to plant his flower plant at a point E such that CE: EB = 3 : 2.

To find: Answer the following questions:

i. Find the coordinates of point E where Eshan has to plant his flower plant.

a) (5,6)

b) (6,5)

c) (5.5)

d) (6,7)

Ans: Let coordinates of Eshan plant is E(x,y)

Given that: CE: EB = 3 : 2

3 2

C(3,2)•___________•E(x,y)_________•B(8,7)

Section formula: If point P(x,y) divides the line segment AB in m:n,when coordinates of A(x1,y1) and B(x2,y2)

then

$\boxed{\bf x = \frac{mx_2 + nx_1}{m + n} } \\ \\ \boxed{\bf y = \frac{my_2 + ny_1}{m + n}}$

So,

According to section formula

$x = \frac{3 \times 8 + 2 \times 3}{3 + 2}$

$x = \frac{24 + 6}{5}$

$x = \frac{30}{5}$

$\bf x = 6$

and

$y = \frac{3 \times 7 + 2 \times2 }{3 + 2}$

$y = \frac{21 + 4 }{5}$

$y = \frac{25}{5}$

$\bf y = 5$

Coordinates of E(6,5).

Option b is correct.

ii) Find the area of △ ECD.

a. 9.5 square unit

b. 11.5 square unit

c. 10.5 square unit

d. 12.5 square unit

Ans:

If A(x1,y1), B(x2,y2) and C(x3,y3)

$\boxed{\bf Ar(∆ABC) = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| }$

Here,

Vertices of triangle are E(6,5),C(3,2) and D(10,2)

$Ar(∆ECD) = \frac{1}{2} |6(2 - 2) + 3(2 - 5) + 10(5 - 2)|$

$Ar(∆ECD) = \frac{1}{2} |0 - 9 +30|$

$Ar(∆ECD) = \frac{1}{2} |21|$

Ar(∆EDC)=10.5 sq-unit

Option C is correct.

iii. Find the distance between the plants of Ajay and Deepak.

a. 8.60 unit

b. 6.60 unit

c. 5.60 unit

d. 7.60 unit

Ans:

Distance formula: If P(x1,y1) and Q(x2,y2), then

$\boxed{\bf PQ = \sqrt{ {(x_2 - x_1)}^{2} + ( {y_2 - y_1)}^{2} }}$

To find distance between Ajay and Deepak apply distance formula.

Coordinates of A(3,7) and D(10,2)

$AD = \sqrt{ {(10 - 3)}^{2} + ( {2 - 7)}^{2} }$

$AD = \sqrt{ 49 + 25}$

$AD = \sqrt{74}$

$\bf AD = 8.6 \:$

Option a is correct.

iv. The distance between A and B is:

a. 5.5 units

b. 7 units

c. 6 units

d. 5 units

Ans: A and B lies on the straight line,

thus,

Distance between A(3,7) and B(8,7) is difference of 8 and 3.

AB= 5 units

Option d is correct.

v. The distance between C and D is:

a. 5.5 units

b. 7 units

c. 6 units

d. 5 unit

Ans: C and D lies on the straight line,

thus,

Distance between C(3,2) and D(10,2) is difference of 10 and 3.

CD= 7 units

Option b is correct.

vi) Name the type of triangle form with the points ACD.

a) Scalene

b) Isosceles

c) Equilateral

d) None of the above

Ans: A(3,7),C(3,2), D(10,2)

AC=5 units

DC=7 units

AD=8.6 units

All sides are of different length.So, ∆ACD is a scalene right triangle.

Option a is correct.

Note*: Distance AB and CD can be calculated by distance formula also.

Final answer:

I) Option b is correct.

ii) Option c is correct.

iii) Option a is correct.

iv) Option d is correct.

v) Option b is correct.

vi) Option a is correct.

Hope it will help you

*Remark: Mistakes are corrected.

Learn more:

1) Find the area of the given regular octagon having each side equal to 5 cm. HC =11 cm and AL = 4 cm. B. 4 cm С H L 11 ...

https://brainly.in/question/48604843

2) The area of the largest possible square inscribed in a circle of radius 2 cm is: a) 8 cm? c) 412 cm? 2 2. 2 b) 4 cm ...

https://brainly.in/question/48193648