# NCERT Class 11-Math's: Exemplar Chapter –10 Straight Lines Part 9

Glide to success with Doorsteptutor material for IMO : fully solved questions with step-by-step explanation- practice your way to success.

Question 21:

If is the length of perpendicular from the origin on the line and are in then show that

Given equation is

Since, p is the length of perpendicular drawn from the origin to the given line

Squaring both the sides, we have

Since, are in AP

Form eq. (i) and (ii), we get

Hence Proved

## Objective Type Questions

Choose the correct answer from the given four options in Exercises 22 to 41

Question 22:

A line cutting off intercept from the axis and the tangent at angle to the axis is , its equation is

(A)

(B)

(C)

(D) None of these

Question 23:

Slope of a line which cuts off intercepts of equal lengths on the axes is

(A)

(B)

(C)

(D)

Question 24:

The equation of the straight line passing through the point and perpendicular to the line is

(A)

(B)

(C)

(D)

Question 25:

The equation of the line passing through the point and perpendicular to the line is

(A)

(B)

(C)

(D)

Question 26:

The tangent of angle between the lines whose intercepts on the axes are and respectively, is

(A)

(B)

(C)

(D) None of these