# Straight Line | Part-2 |Ex-2A

In the previous article, we discussed 9 short ans type questions of Short Answer Type Questions of Straight Line Chapter of Chhaya Mathematics, Class 11. In this article, we have solved few more.

##### Short Answer Type Questions of Straight Line Chapter- Ex 2A | S N De

10.The perimeter of the triangle formed by the straight line with the co-ordinate axes is unit ; find the value of

Solution.

We have the equation of straight line

the straight line intersects axis at and axis at making with origin at

By the intercept form of Straight line , we see

So, the perimeter of the triangle formed by the given straight line

11.If for all positions of the moving line Show that the line always passes through a fixed point. Find the co-ordinates of that fixed point.

Solution.

We have

Clearly, represents a straight line through the point of intersection of Solving we get and so, the required fixed point is

12.Show that the straight line always passes through a fixed point; find the co-ordinates of that fixed point.

Solution.

Clearly, for different values of where and are not simultaneously zero, represents straight lines through the point of intersection of the straight lines and

Now, solving and we get,

So, the co-ordinates of that fixed point is

13. Show that the equation of the straight line can be expressed in the following form :

Solution.

14.If and be the length of the perpendiculars from the origin upon the lines and respectively, show that

Solution.

Hence, by and we get,

15. Find the equation of the straight line through the point and the point of intersection of the lines and Also find the length of the portion of the line intercepted between the co-ordinate axes.

Solution.

The equation of the straight line through the point of intersection of the straight lines and is

Since the straight line passes through the point , so

Hence, putting the value of in we get

So, represents the intercept form of straight line that cuts axis at and axis at

So,

16.If the straight line passes through the point of intersection of the lines and find

Solution.

The equation of the straight line through the point of intersection of the straight lines and is

Now the straight line and are identical.

So,

Again,

17.Find the equation of the straight line which passes through the point of intersection of the straight lines and and makes equal intercepts upon the co-ordinate axes.

Solution.

18.Find the equation of the straight line which makes intercepts on the axes equal in magnitude but opposite in sign and passes through the point of intersection of the lines and Also find the perpendicular distance of the line from the origin.

Solution.