In the middle:
x-coordinate= {7-(-1)}/2= 4
y-coordinate= (8-2)/2= 3
So centre is (4,3)
Y - x = 6
y + 2x = 57
2y - 2x =12
y + 2x = 57
∴3y = 69
y = 23
23 - x = 6
-x = -17
x =17
large van = 23
small van = 17
Given:


To find:
The quadrant in which
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only
and
are positive.
In Quadrant III, only
and
are positive.
In Quadrant IV, only
and
are positive.
We have,


Here,
is negative and
is also negative. It is possible, if
lies in the Quadrant IV.
Therefore, the correct option is D.
B divided by 6
b / 6...." / " means divide
Given,
The carrot comes in pack of 80
Zunchie comes in the pack of 40
The paper comes in the pack of 50.
To find,
The fewest number of each kind of seed that farmer brown will buy.
Solution,
To find least no of each kind, we must take the LCM of the above numbers such that,
The prime factors of the given numbers are :
80 = 2 × 2 × 2 × 2 × 5
40 = 2 × 2 × 2 × 5
50 = 2 × 5 × 5
LCM of 80,40 and 50 = 2 × 2 × 2 × 2 × 5 × 5
= 400
He should buy,
400/80 = 5 carrot seeds
400/40 = 10 zunchie seeds
400/50 = 8 papper seeds.