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
Advertisements
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
Write True or False. Give reasons for your answers.
If a circle is divided into three equal arcs, each is a major arc.
If the tangent at point P to the circle with center O cuts a line through O at Q such that PQ= 24cm and OQ = 25 cm. Find the radius of circle
Two tangent segments PA and PB are drawn to a circle with center O such that ∠APB = 120°. Prove that OP = 2AP
Fill in the blank
A continuous piece of a circle is ............... of the circle
In the given figure, ΔABC is an equilateral triangle. Find m∠BEC.

Two concentric circles are of diameters 30 cm and 18 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Draw circle with diameter: 6 cm
In above case, measure the length of the radius of the circle drawn.
In the given figure, if ZRPS = 25°, the value of ZROS is ______
In the following figure, if ∠ABC = 20º, then ∠AOC is equal to ______.

In the following figure, O is the centre of the circle. Name all chords of the circle.

