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