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

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**Question 21:**

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

**Answer:**

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

**Answer: (A)**

**Question 23:**

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

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 24:**

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

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 25:**

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

(A)

(B)

(C)

(D)

**Answer: (B)**

**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

**Answer: (C)**