Straight Line (2D)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

Find the equation of the straight line through the origin which divides internally the connecting segment of the two points `(3, 6)` and `(-2, -14)` in the ratio `2:3`.
Ans: `2x+y=0`
SEE SOLUTION

Question No: #2

Find the ratio in which the straight line `3x+4y=21` divides the line segment joining the points `(-9, 5)` and `(7, 9)`.
Ans: Internally in the ratio `7:9`
SEE SOLUTION

Question No: #3

Find the equation of a straight line whose slope is `-2` and which cuts off `3` units of length in the positive direction of the `x`-axis.
Ans: `2x+y=6`
SEE SOLUTION

Question No: #4

A straight line through the point `(3,4)` makes an angle of `45°` with the positive direction of the `x`-axis. Find the distance from the point `(3,4)` to the point where this straight line intersects the straight line `y=5x+1`.
Ans: `3\sqrt{2}` unit
SEE SOLUTION

Question No: #5

Find the distance of the straight line `4x-y=0` along the straight line that makes an angle of `135°` with the positive direction of `x`-axis from the point `P(4,1)`.
Ans: `3\sqrt{2}` unit
SEE SOLUTION

Question No: #6

Find the distance from the point `(1,1)` on the straight line `4x-3y=1` along the straight line `2x-y=3`.
Ans: 5 unit
SEE SOLUTION