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Find the value of \( k \) if the point (7,3) lies on the line \( 2x3y=k \).
Substitute the point (7,3) in the given equation.
(1)
Find the value of \( k \) if the point (1,5) lies on the line \( a^{2}x3y=1 \).
Substitute the point (1,5) in the given equation.
(1)
Find the value of ycoordinate if \( x=2 \) in the equation \( x+y+\frac{xy}{2} = 3\).
Substitute the value of x in the given equation.
(1)
Find the area of the triangle formed by the line \( \frac{x}{11}+\frac{y}{12} = 1 \) and the coordinate axes in the first quadrant.
Find the points where the given line intersects the coordinate axes.
(1)
The triangle formed is a right angled triangle with the length of perpendicular legs as 11 and 12.
(2)
How many solutions does the line \( 7x + 8y = 19 \) have?
Number of solutions of a single line is just the number of points that lie on it. A line always passes through infinitely many solutions. So this line also has infinitely many solutions.
What are the coordinates of the point of intersection of the line \( 3x + \frac{1}{3}y = 18 \) and the xaxis?
Just substitute the value of y as 0.
(1)
The coordinates are (6,0).
What are the coordinates of the point of intersection of the line \( 5x + 7y = 34 \) and the xaxis?
Just substitute the value of as 0.
(1)
The coordinates are .
If the point \( (k^{2},k) \) lies on the line \( 2x3y=20 \) then find the positive value of \( k \).
Just substitute the point in the given equation.
(1)
The positive value of is 4.
How many lines can pass through a particular point?
Infinitely many lines can pass through a particular point.
For what values of \( a \) and \( b \), does the line \( ax+by+c=0 \) is a line in two variables?
The line is a line in two variables only when the values of and are not equal to 0.
The cost of a pencil is Rs 7. Which of the following correctly represents the total cost \( y \) of \( x \) pencils?
The total cost is represented by the equation .
Find the equation of the line that is parallel to xaxis and that lies at distance of 7 units above the xaxis.
The equations of the line parallel to xaxis and at a distance of 7 units are and , but it is given that the line lies above the xaxis so the required line is .
Find the equation of the line that is parallel to yaxis and that lies at distance of 15 units on the left side of the yaxis.
The equations of the line parallel to yaxis and at a distance of 15 units are and , but it is given that the line lies on the left side of yaxis so the required line is .
Which of the line passes through the points (4,2) and (3,5)?
The points (4,2) and (3,5) passes only through the line that is represented by the line .
Which of the following is correct?
The point (0,0) satisfies the equation . Therefore, the line represented by passes through the origin.
The cost of making tables is represented by the equation \( y=35 + 66x \) where \( x \) is the number of tables. Find the cost of making 10 tables.
Substitute the value of as 10 in the given equation and solve for the total cost.
(1)
The length of a rectangular metal sheet is 3 metres more than the width. If the perimeter of the sheet is 34 metre, find the length and width of the sheet.
Let the width be and then the length can be written as .
(1)
Width of the sheet is 7 m and its length is 10 m.
Which of the following equation passes through the point (4,9)?
The point (4,9) passes only through the equation .
Find the value of \( p \) the point (3,10) lies on the line \( px+4y=10 \)?
Substitute the point (3,10) in the equation and solve for the value of .
(1)
Which of the following is correct?
The line is a vertical line passing through the point (7,0).. Therefore, the line represented by is parallel to yaxis.