# NCERT Class 11-Math՚s: Exemplar Chapter – 10 Straight Lines Part 12 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 46**:

A point moves so that square of its distance from the point is numerically equal to its distance from the line . The equation of its locus is ________.

**Answer**:

**Question 47**:

Locus of the mid-points of the portion of the line intercepted between the axes is ________.

**Answer**:

## State Whether the Statements in Exercises 48 to 56 Are True or False. Justify

**Question 48**:

If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.

**Answer: True**

**Question 49**:

The points are collinear

**Answer: false**

**Question 50**:

Equation of the line passing through the point and perpendicular to the line .

**Answer: False**

**Question 51**:

The straight line passes through the point of intersection of the straight lines and .

**Answer: True**

**Question 52**:

The vertex of an equilateral triangle is and the equation of the opposite side is . Then the other two sides are .

**Answer: True**

**Question 53**:

The equation of the line joining the point to the point of intersection of the lines and is equidistant from the points and .

**Answer: True**

**Question 54**:

The line moves in such a way that where *c* is a constant. The locus of the foot of the perpendicular from the origin on the given line is

**Answer: True**

**Question 55**:

The lines and are concurrent if are in G. P.

**Answer: False**

**Question 56**:

Line joining the points and is perpendicular to the line joining the points and .

**Answer: False**