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

Glide to success with Doorsteptutor material for IMO Class-11: fully solved questions with step-by-step explanation- practice your way to success.

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 ____.

Question 47:

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

## 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.

Question 49:

The points are collinear

Question 50:

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

Question 51:

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

Question 52:

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

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 .

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

Question 55:

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