Advertisements
Advertisements
प्रश्न
Draw and describe the lorus in the following cases:
The Iocus of the mid-points of all parallel chords of a circle.
उत्तर
The locus of the mid-points of parallel chords is the diameter perpendicular to the given chords.
APPEARS IN
संबंधित प्रश्न
Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of lengths 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. prove your construction.
(ii) Construct the locus of points, inside the circle that are equidistant from AB and AC.
Without using set squares or protractor, construct a quadrilateral ABCD in which ∠ BAD = 45° , AD = AB = 6 cm, BC= 3.6 cm and CD=5 cm. Locate the point P on BD which is equidistant from BC and CD.
In the given figure ABC is a triangle. CP bisects angle ACB and MN is perpendicular bisector of BC. MN cuts CP at Q. Prove Q is equidistant from B and C, and also that Q is equidistant from BC and AC.
In given figure 1 ABCD is an arrowhead. AB = AD and BC = CD. Prove th at AC produced bisects BD at right angles at the point M
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 .
Draw and describe the lorus in the following cases:
The lorus of a point in rhombus ABCD which is equidistant from AB and AD .
Describe completely the locus of points in the following cases:
Point in a plane equidistant from a given line.
State and draw the locus of a swimmer maintaining the same distance from a lighthouse.
How will you find a point equidistant from three given points A, B, C which are not in the same straight line?
Without using set squares or protractor.
(i) Construct a ΔABC, given BC = 4 cm, angle B = 75° and CA = 6 cm.
(ii) Find the point P such that PB = PC and P is equidistant from the side BC and BA. Measure AP.
