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

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**Question 36**:

For specifying a straight line, how many geometrical parameters should be known?

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 37**:

The point undergoes the following two successive transformations:

(i) Reflection about the line

(ii) Translation through a distance units along the positive axis

Then the final coordinates of the point are

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 38**:

A point equidistant from the lines and is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 39**:

A line passes through and is perpendicular to the line . it՚s intercept is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 40**:

The ratio in which the line divides the distance between the lines and is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 41**:

One vertex of the equilateral triangle with centroid at the origin and one side as is

(A)

(B)

(C)

(D)

[**Hint**: Let ABC be the equilateral triangle with vertex and let be the point on BC. Then . Also and

**Answer: (B)**

## Fill in the Blank in Exercises 42 to 47

**Question 42**:

If are in A. P. , then the straight lines will always pass through ________.

**Answer**:

**Question 43**:

The line which cuts off equal intercept from the axes and pass through the point is ________.

**Answer**:

**Question 44**:

Equations of the lines through the point and making an angle of with the line are ________.

**Answer**:

**Question 45**:

The points and are situated on the ________ of the line .

**Answer**:

Opposite sides