Loci Archives - India Site

Construct a rhombus ABCD whose diagonals AC and BD are $8cm$ and $6cm$ respectively. Find by constructing a point P which is at equal distance from AB and AD and also from C and D.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: 1. Draw a line segment $BC=6cm$. 2. Then, draw perpendicular with the help of scale, $AD=8cm$ to BC. 3. With A as a center and radius $5cm$, draw two arcs with the help of...

Construct a rhombus ABCD with sides of length $5cm$ and diagonal AC of Length $6cm$. Measure $\angle ABC$. Find the point R on AD such that $RB=RC$. Now you have to Measure the length of line segment AR.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: 1. Draw a line segment $AC=6cm$. 2. With A as a center and radius $5cm$, draw two arcs with the help of compass , on both sides of line AC. 3. With C as a center and...

Do not use set squares or protractor, but construct a quadrilateral ABCD in which$\angle BAD={{45}^{\circ }}$, $AD=AB=6cm$, $BC=3.6cm$ and $CD=5cm$. Locate the point P on BD which is at the equal distance from BC and CD.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: 1.Let’s Draw a line segment $AB=6cm$. 2. With B as a center and radius $6cm$, draw an arc with the help of compass. 3. With C as a center and radius $5.2cm$, draw another arc...

AB and CD are two intersecting lines. We need to Find a point which is at equal distance from AB and CD, and also at a distance of $1.8cm$ from another given Line EF.

Class 10, Frank, Guides, ICSE, Loci, Maths

As per the condition given in the question, 1. First draw an angle bisector with the help of compass AB and CD. 2. Then draw perpendicular from AB and CD on angle bisector i.e. P. Therefore, P is...

Draw the two intersecting lines to include an angle of ${{30}^{\circ }}$. You need to Use ruler and compasses to locate points which are at equal distance from these two intersecting lines and also $2cm$ away from their point of intersection. So find How many such points exist?

Class 10, Frank, Guides, ICSE, Loci, Maths

ATQ, 1. First draw an angle bisector with the help of compass AB and XY of angles formed by the lines e and f. 2. Now, from center draw a circle with the help of compass, of radius $2cm$, which...

AB and CD are the two straight roads , across each other at P at ${{75}^{\circ }}$angle. X is a stone on the road AB, $800m$ from P towards B, By taking an appropriate scale draw a figure to locate the position of a pole, which is at equal distance from P and X, and is also at equal distance from the roads.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: ATQ, 1. Let us Draw two lines AB and CD crossing at an angle of ${{75}^{\circ }}$ 2. Then draw an angle bisector of $\angle BPD$ with the help of compass 3. Now, draw...

Let’s Construct a triangle ABC, such that $AB=6cm$, $BC=7.3cm$ and $CA=5.2cm$ locate a point which is at equal distance from A, B and C.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: 1. Let us Draw a line segment $BC=7.3cm$. 2. With B as a center and radius $6cm$, draw an arc with the help of compass. 3. With C as a center and radius $5.2cm$, draw another...

Using only ruler and compasses, let us construct a triangle ABC, with $AB=5cm$, $BC=3.5cm$ and $AC=4cm$. Mark a point P, which is equidistant from AB, BC and also from B and C. So we need to measure the length of PB.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: 1. Draw a line segment $BC=3.5cm$. 2. With B as a center and radius $5cm$, let’s draw an arc using compass. 3. With C as a center and radius $4cm$, draw another arc using...

Describe completely the locus of points in each of the following cases:(e) Describe the locus of the Center of a circle of radius $2cm$ and touching a fixed circle of radius $3cm$.

Class 10, Frank, Guides, ICSE, Loci, Maths

Describe completely the locus of points in each of the following cases:(c) Describe the locus of the Point in a plane equidistant from a given line.(d) Describe the locus of the Center of a circle of varying radius and touching the two arms of $\angle ABC$.

Class 10, Frank, Guides, ICSE, Loci, Maths

Describe completely the locus of points in each of the following cases:(a) Describe the locus of the Midpoint of radii of a circle.(b) Describe the locus of the Centre of a ball, rolling along a straight line on a level floor.

Class 10, Frank, ICSE, Loci, Maths

Let’s Draw and describe the locus in each of the following cases:(c) Draw and describe the locus of the mid – points of all parallel chords of a circle.Draw and describe the locus of a point in rhombus ABCD which is equidistant from AB and AD.

Class 10, Frank, Guides, ICSE, Loci, Maths

The locus of the mid – points of the chords which are parallel to a given chord is the diameter of the circle , perpendicular to the given chords

Let’s Draw and describe the locus in each of the following cases:(a) Draw and describe the locus of points at a distance of $4 cm$ from a fixed line.(b) Draw and describe the locus of points inside a circle and equidistant from two fixed points on the circle.

Class 10, Frank, Guides, ICSE, Loci, Maths

The locus of points at a distance of $4 cm$ from a fixed line segment QS are lines R and P which are parallel to the QS. The locus of points inside a circle are equidistant from fixed points on the...

AB is fixed line, so we need to state that the locus of the point P such that \[\angle APB={{90}^{\circ }}\]

Class 10, Frank, Guides, ICSE, Loci, Maths

The locus of the point P such that \[\angle APB={{90}^{\circ }}\], with AB as diameter of the circle.

We have to State that the locus of a point moving so that its perpendicular distances from two given lines is always same.

Class 10, Frank, Guides, ICSE, Loci, Maths

The locus of a point moving so that its perpendicular distances from two given lines is always same. A line segment QS is parallel to given lines R and P.

A point moves such that its distance from a fixed line AB is always the Equal. So we need to find What is the relation between AB and the path travelled by the point having its distance same from fixed line AB?

Class 10, Frank, ICSE, Loci, Maths

A point moves such that its distance from a fixed straight line AB is same as a pair of straight lines parallel to the given line, one on each side of it and at the given distance from it.

P is a moving point while A and B are fixed points, moving in a way that it is always at the equal distance from A and B. We need to find that What is the locus of the path traced out by the point P?

Class 10, Frank, Guides, ICSE, Loci, Maths

Solution:- The locus of the path traced out by the point P is at equal distance from A and B is the perpendicular bisector of the line segment joining the two points of the given figure.

Draw a straight line AB of $9 cm$. Draw the locus of all points which are equidistant from A and B. You need to Prove your statement.

Class 10, Frank, Guides, ICSE, Loci, Maths

Steps of construction: (1) Draw a line segment AB of the length $9 cm$. (2) Then draw perpendicular bisector PQ of line segment AB. So PQ is the required locus. Proof: (a)Let us take any...

Construct a rhombus ABCD whose diagonals AC and BD are $8cm$ and $6cm$ respectively. Find by constructing a point P which is at equal distance from AB and AD and also from C and D.

Construct a rhombus ABCD with sides of length $5cm$ and diagonal AC of Length $6cm$. Measure $\angle ABC$. Find the point R on AD such that $RB=RC$. Now you have to Measure the length of line segment AR.

Do not use set squares or protractor, but construct a quadrilateral ABCD in which$\angle BAD={{45}^{\circ }}$, $AD=AB=6cm$, $BC=3.6cm$ and $CD=5cm$. Locate the point P on BD which is at the equal distance from BC and CD.

AB and CD are two intersecting lines. We need to Find a point which is at equal distance from AB and CD, and also at a distance of $1.8cm$ from another given Line EF.

Draw the two intersecting lines to include an angle of ${{30}^{\circ }}$. You need to Use ruler and compasses to locate points which are at equal distance from these two intersecting lines and also $2cm$ away from their point of intersection. So find How many such points exist?

Let’s Construct a triangle ABC, such that $AB=6cm$, $BC=7.3cm$ and $CA=5.2cm$ locate a point which is at equal distance from A, B and C.

Using only ruler and compasses, let us construct a triangle ABC, with $AB=5cm$, $BC=3.5cm$ and $AC=4cm$. Mark a point P, which is equidistant from AB, BC and also from B and C. So we need to measure the length of PB.

Describe completely the locus of points in each of the following cases:(e) Describe the locus of the Center of a circle of radius $2cm$ and touching a fixed circle of radius $3cm$.

Describe completely the locus of points in each of the following cases:(c) Describe the locus of the Point in a plane equidistant from a given line.(d) Describe the locus of the Center of a circle of varying radius and touching the two arms of $\angle ABC$.

Describe completely the locus of points in each of the following cases:(a) Describe the locus of the Midpoint of radii of a circle.(b) Describe the locus of the Centre of a ball, rolling along a straight line on a level floor.

Let’s Draw and describe the locus in each of the following cases:(c) Draw and describe the locus of the mid – points of all parallel chords of a circle.Draw and describe the locus of a point in rhombus ABCD which is equidistant from AB and AD.

Let’s Draw and describe the locus in each of the following cases:(a) Draw and describe the locus of points at a distance of $4 cm$ from a fixed line.(b) Draw and describe the locus of points inside a circle and equidistant from two fixed points on the circle.

AB is fixed line, so we need to state that the locus of the point P such that \[\angle APB={{90}^{\circ }}\]

We have to State that the locus of a point moving so that its perpendicular distances from two given lines is always same.

A point moves such that its distance from a fixed line AB is always the Equal. So we need to find What is the relation between AB and the path travelled by the point having its distance same from fixed line AB?

P is a moving point while A and B are fixed points, moving in a way that it is always at the equal distance from A and B. We need to find that What is the locus of the path traced out by the point P?

Draw a straight line AB of $9 cm$. Draw the locus of all points which are equidistant from A and B. You need to Prove your statement.

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