# NCERT Class 11-Math's: Exemplar Chapter –10 Straight Lines Part 12

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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**