NCERT Class 11-Math՚S: Exemplar Chapter – 10 Straight Lines Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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)