Solve the following:
(a) If ax + by + c = 0 does not touch the Y axis anywhere, then which of these constants will be zero?
(b) Find the Y coordinates for the points which lie on y = 2x + 1, whose X coordinates are 3, 4 and 6. [4 MARKS]

Open in App

Solution

Sub-parts: 2 Marks each

(a) The required line is a line parallel to the Y axis as it does not touch Y axis anywhere.
Thus, its equation will be of the form x = constant
Writing this in the standard form, we will get
ax + 0y + c = 0
Or, we can say that the constant b will be equal to zero.

(b)y = 2x + 1
X coordinate = 3
y = (2x3) + 1 = 7
The point is (3, 7)

X coordinate = 4
y = (2x4) + 1 = 9
The point is (4, 9)

X coordinate = 6
y = (2x6) + 1 = 13
The point is (6, 13)

Suggest Corrections

Similar questions

Find the Y coordinates for the points which lie on y = 2x + 1, whose X coordinates are 3, 4 and 6.

Solve the Following:

(a) What is the equation for the line the sum of whose X and Y coordinates is always 8? Find a point on this line which is at a distance of 2 units from the X axis in the positive direction?

(b) Write the equation y = 3x + 2 in the form ax + by + c = 0, and indicate the value of a b and c. [4 MARKS]

Q. Decide which of the following statements is true and which is false. Give reasons for your answer.
(i) A point whose x-coordinate is zero, will lie on the y-axis.
(ii) A point whose y-coordinate is zero, will lie on x-axis.
(iii) The coordinates of the origin are (0, 0).
(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.

Q. State whether True or False. Correct that are false.
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y coordinate is zero and x-coordinate is

5

will lie on y-axis.
(iii) The coordinates of the origin are

(0, 0)

A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis. Explain. [1 MARK]

Join BYJU'S Learning Program

Solve the following: (a) If ax + by + c = 0 does not touch the Y axis anywhere, then which of these constants will be zero? (b) Find the Y coordinates for the points which lie on y = 2x + 1, whose X coordinates are 3, 4 and 6. [4 MARKS]

Solve the following:
(a) If ax + by + c = 0 does not touch the Y axis anywhere, then which of these constants will be zero?
(b) Find the Y coordinates for the points which lie on y = 2x + 1, whose X coordinates are 3, 4 and 6. [4 MARKS]