Advertisements
Advertisements
प्रश्न
Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude.
Advertisements
उत्तर
Steps of construction:
Draw a line XY parallel to the base BC from the vertex A.
This line is the locus of vertex A. All the triangles which have the base BC and length of altitude equal to AD.
संबंधित प्रश्न
In each of the given figures; PA = PB and QA = QB.
| i. |  |
| ii. |  |
Prove, in each case, that PQ (produce, if required) is perpendicular bisector of AB. Hence, state the locus of the points equidistant from two given fixed points.
Describe the locus of points at a distance 2 cm from a fixed line.
Describe the locus of a stone dropped from the top of a tower.
Describe the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.
The speed of sound is 332 metres per second. A gun is fired. Describe the locus of all the people on the earth’s surface, who hear the sound exactly one second later.
Describe the locus of points at distances greater than 4 cm from a given point.
In the given figure, obtain all the points equidistant from lines m and n; and 2.5 cm from O.
In a quadrilateral PQRS, if the bisectors of ∠ SPQ and ∠ PQR meet at O, prove that O is equidistant from PS and QR.
Prove that the common chord of two intersecting circles is bisected at right angles by the line of centres.
In Fig. ABCD is a quadrilateral in which AB = BC. E is the point of intersection of the right bisectors of AD and CD. Prove that BE bisects ∠ABC.
