Advertisements
Advertisements
Question
Give the equations of two lines passing through (3, 12). How many more such lines are there,
and why?
Solution
The equation of two lines passing through
(3, 12) are
` 4x - y = 0 `
` 3x - y + 3 = 0 ` ............. (1)
There are infinitely many lines passing through (3, 12)
APPEARS IN
RELATED QUESTIONS
Which one of the following options is true, and why?
y = 3x + 5 has
Check whether the following is the solution of the equation x – 2y = 4 or not:
`(sqrt2", "4sqrt2)`
Express the following linear equations in the form ax + by + c = 0 and indicate the values of
a, b and c in each case:
2x + 3y = 9.35
Write two solutions for the following equation :
3x + 4y = 7
Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equation :
−4x + 3y = 12
If x = 2𝛼 + 1 and y = 𝛼 – 1 is a solution of the equation 2x−3y + 5 = 0, find the value of 𝛼.
A lending library has a fixed charge for the first three days and an additional charge for each
day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs 𝑥
and per day charges are Rs y. Write the linear equation representing the above information.
A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s
digit are x and y respectively, write the linear equation representing the above statement.
If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is ______.
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = `(5F - 160)/9`. If the temperature is 0°C what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?
