Advertisements
Advertisements
Question
If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic.
Options
True
False
Solution
This statement is True.
Explanation:
Given: ∠BAC = 45° and ∠BDC = 45°
As we know that, angles in the same segment of a circle are equal.
Hence, A, B, C and D are concyclic.
Hence, the given statement is true.
APPEARS IN
RELATED QUESTIONS
Fill in the blanks:
The longest chord of a circle is a __________ of the circle.
In the fig. ABC is right triangle right angled at B such that BC = 6cm and AB = 8cm. Find the radius of its in circle.
Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
In the given figure, if ∠ABC = 45°, then ∠AOC =
Equal circles with centres O and O' touch each other at X. OO' produced to meet a circle with centre O', at A. AC is a tangent to the circle whose centre is O. O'D is perpendicular to AC. Find the value of\[\frac{DO'}{CO}\]
Length of a chord of a circle is 24 cm. If distance of the chord from the centre is 5 cm, then the radius of that circle is ______.
Radius of a circle with centre O is 4 cm. If l(OP) = 4.2 cm, say where point P will lie.
Suppose you are given a circle. Describe a method by which you can find the center of this circle.
State, if the following statement is true or false:
If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.
A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is