Advertisements
Advertisements
Question
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Because, there can be many points D, such that ∠BDC = 60° and each such point cannot be the centre of the circle through A, B and C.
APPEARS IN
RELATED QUESTIONS
In the below fig. O is the centre of the circle. If ∠APB = 50°, find ∠AOB and ∠OAB.
In the given figure, a circle with center O, is inscribed in a quadrilateral ABCD such that it touches the side BC, AB, AD and CD at points P, Q, R and S respectively. If AB = 29cm, AD = 23cm, ∠B = 90° and DS=5cm then find the radius of the circle.
In Fig. 1, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
In the given figure, chords AD and BC intersect each other at right angles at a point P. If ∠DAB = 35°, then
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 Fig., chords AB and CD of the circle intersect at O. AO = 5 cm, BO = 3 cm and CO = 2.5 cm. Determine the length of DO.
Use the figure given below to fill in the blank:
R is the _______ of the circle.
Given: A circle inscribed in a right angled ΔABC. If ∠ACB = 90° and the radius of the circle is r.
To prove: 2r = a + b – c
Draw two acute angles and one obtuse angle without using a protractor. Estimate the measures of the angles. Measure them with the help of a protractor and see how much accurate is your estimate.
In the following figure, O is the centre of the circle. Name all radii of the circle.
