Questions

[2 Mark Question Answer]

🎯

Test yourself on this topic

11 questions · timed · auto-graded

Question 12 Marks
Describe completely the locus of points in the following cases:
Centre of a cirde of radius 2 cm and touching a fixed circle of radius 3 cm with centre O.
Answer

The locus is a concentric cirde (in red) of radius 1 cm if cirdes touch internally; and concentric cirde (in red) of radius 5 cm if cirdes touch externally.
View full question & answer
Question 22 Marks
Describe completely the locus of points in the following cases:
Centre of a circle of varying radius and touching the two arms of ∠ ABC.
Answer

The Iocus of a cirde of varying radius and touching two arms of ∠ ABC is the bisector of that angle.
View full question & answer
Question 32 Marks
Describe completely the locus of points in the following cases:
Point in a plane equidistant from a given line.
Answer

The locus of all points in a plane equidistant from a fixed line is represented by two parallel lines either side of it at a distanced away.
View full question & answer
Question 42 Marks
Describe completely the locus of point in the following cases:
Centre of a ball, rolling along a straight line on a level floor.
Answer

The locus of the centre of a ball, rolling along a straight line on a level floor will be a straight Iine paralIel to the floor at a di stance equal to the radius of the ball.
View full question & answer
Question 52 Marks
Describe completely the locus of point in the following cases:
Midpoint of radii of a circle.
Answer

The locus of mid-point of radii of a circle is a concentric circle of radius equal to half the radius of given circle.
View full question & answer
Question 62 Marks
Draw and describe the locus in the following cases :
The locus of a point in the rhombus ABCD which is equidistant from the point A and C
Answer

Diagonal AC and BD bisect each other at right angles at O.
Hence, O is equidistant from A and C.
View full question & answer
Question 72 Marks
Draw and describe the lorus in the following cases:
The lorus of a point in rhombus ABCD which is equidistant from AB and AD .
Answer

The locus of a point in the rhombus which is equidistant from AB and AD is the diagonal AC.
View full question & answer
Question 82 Marks
Draw and describe the lorus in the following cases:
The Iocus of the mid-points of all parallel chords of a circle.
Answer

The locus of the mid-points of parallel chords is the diameter perpendicular to the given chords.
View full question & answer
Question 92 Marks
Draw and describe the lorus in the following cases:
The lorus of points inside a circle and equidistant from two fixed points on the circle .
Answer

The locus of the points inside the circle which are equidistant from the fixed points on the circle will be the diameter which is perpendicular bisector of the line joining the two fixed points on the circle.
View full question & answer
Question 102 Marks
Draw and describe the lorus in the following cases:
The locus of points at a distance of 4 cm from a fixed line.
Answer

The locus of points at a distance of 4 cm from fixed line AB are lines Land M which are parallel to AB.
View full question & answer
Question 112 Marks
AB is a fixed line) state the locus of the point P such that ∠ APB = 90° .
Answer

The locus of point Pis a cirde with AB as diameter.
View full question & answer
[2 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip