Question
Draw graph of 2x - y = 4.
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Solve the following system of equations by the method of cross multiplication:
$\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=2,$
$\text{a}\text{x}-\text{by}=\text{a}^2-\text{b}^2.$
→$\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=2,$
$\text{a}\text{x}-\text{by}=\text{a}^2-\text{b}^2.$
Find the lengths of the medians of a $\triangle\text{ABC}$ whose vertices are A(0, -1), B(2, 1) and B(2, 1) and C(0, 3).
→A well with inner radius $4m$ is dug $14m$ deep. Earth taken out of it has been spread evenly all around a width of $3m$ it to form an embankment. Find the height of the embankment.
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Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are:
y = x, y = 2x and y + x = 6.
y = x, y = 2x and y + x = 6.
Find the next five terms of the following sequences given:
$a_1 = a_2 = 2, a_n = a_{n-1} - 3, n > 2.$
→$a_1 = a_2 = 2, a_n = a_{n-1} - 3, n > 2.$
The median of the following data is 16. Find the missing frequencies a and b if the total of frequencies is 70.
|
Class
|
0-5
|
5-10
|
10-15
|
15-20
|
20-25
|
25-30
|
30-35
|
35-40
|
|
Frequency
|
12
|
a
|
12
|
15
|
b
|
6
|
6
|
4
|
In the following data the median of the runs scored by 60 top batsmen of the world in one-day international cricket matches is 5000. Find the missing frequencies x and y.
|
Runs scored
|
2500-3500
|
3500-4500
|
4500-5500
|
5500-6500
|
6500-7500
|
7500-8500
|
|
Number of batsmen
|
5
|
x
|
y
|
12
|
6
|
2
|
If $(x + a)$ is a factor of the polynomial $2x^2 + 2ax + 5x + 10$, find the value of of a.
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