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प्रश्न
Suppose You Are Given a Circle. Give a Construction to Find Its Centre.
उत्तर
Steps of constructions:
(1) Take three point A, B and C the given circle
(2) Join AB and BC
(3) Draw the perpendicular bisectors of chord AB and BC which intersect each other at O.
(4) Point O will be the required center of the circle because we know that the perpendicular
bisector of the cord always passes through the center
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संबंधित प्रश्न
In Fig. 1, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT = 3.8 cm, then the length of QR (in cm) is :
(A) 3.8
(B) 7.6
(C) 5.7
(D) 1.9
Two circles touch externally at a point P. from a point T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and E respectively. Prove that TQ = TR.
In the given figure, PA and PB are two tangents to the circle with centre O. If ∠APB = 60° then find the measure of ∠OAB.
The length of three concesutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm, and 7 cm respectively. Determine the length of the fourth side.
In an equilateral triangle, prove that the centroid and center of the circum-circle (circumcentre) coincide.
If O is the centre of the circle, find the value of x in each of the following figures
In the figure, O is the center of the circle. Line AQ is a tangent. If OP = 3, m(arc PM) = 120°, then find the length of AP.
If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is also 60°.
From the figure, identify a chord.
Is every chord of a circle also a diameter?
