Utilizing S Chand Class 10 Maths Solutions ICSE Chapter 13 Loci Ex 13(a) as a study aid can enhance exam preparation.
S Chand Class 10 ICSE Maths Solutions Chapter 13 Loci Ex 13(a)
Question 1.
What is the locus of a marble dropped from your hand?
Solution:
Locus of the marble will be a vertical line.
Question 2.
What is the locus of the tip of a minute hand of a watch?
Solution:
The locus of the tip of a minute hand of a watch is a circle.
Question 3.
What is the locus of the tip of the pendulum of a dock ?
Solution:
The locus of the tip of the pendulum of a clock is an arc of a circle.
Question 4.
What is the locus of the tip of the nose of a man sitting in a merry go round ?
Solution:
The locus of the tip of the nose of a man sitting in a merry go round is a circle.
Question 5.
What is the locus of the centre of a wheel rolling on a horizontal plane ?
Solution:
The locus of the centre of a wheel rolling on a horizontal plan is a straight line.
Question 6.
One end of a rope is tied to a donkey and the other end to a peg fixed in a grassy land. What is the locus of the end of the rope tied to the donkey if it grazes the land by keeping the rope fully stretched?
Solution:
The locus of the end P of the rope tied to the donkey will be a circle whose radius is the length of the rope.
Question 7.
What is the locus of mark on a see-saw ?
Solution:
The locus of a mark P on a see-saw will be an arc of a circle.
Question 8.
What is the locus of your toe when in gymnasium you climb up a rope smoothly without giving any jerk to your body?
Solution:
The locus of toe P while climbing up a rope with giving any jerk will be a straight line.
Question 9.
What is the locus of a point 4 cm from a fixed point O?
Solution:
The locus of a point P which remains 4 cm away from a fixed point O is a circle of the radius 4 cm.
Question 10.
What is the locus of a point 1 cm from the circumference of a circle towards the centre, whose radius is 2.5 cm ?
Solution:
The locus of a point P which is 1 cm from the circumference of a circle with centre O and radius 2.5 cm is a circle of radius
2.5 – 1 = 1.5 cm and with centre O. i.e. a concentric circle.
Question 11.
What is the locus of a point 1 cm from the centre of a circle of radius 2.5 cm ?
Solution:
The locus of a point P which is 1 cm from the centre O of a given circle of 2.5 cm radius is a circle with centre O i.e. a concentric circle.
Question 12.
What is the locus of all points 1 cm from the bottom of this page ?
Solution:
The locus of all points 1 cm from the bottom of this page will be a straight line parallel to the bottom of the page.
Question 13.
What is the locus of all points equidistant from the sides of this page ?
Solution:
The locus of all the points which are equidistant from the sides of this page will be a straight line parallel to the sides and running mid-way between the sides.
Question 14.
What is the locus of a point equidistant from two parallel lines?
Solution:
The locus of a point P which is equidistant from two parallel lines is a straight lines parallel to the given parallel lines and running midway between them.
Questions 15.
What is the locus of a point, equidistant from the arms of a given angle AOB?
Solution:
The locus of a point P which is equidistant from the arms OA and OB of a given angle AOB is the bisector of the angle AOB.
