Advertisements
Advertisements
प्रश्न
If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic.
पर्याय
True
False
Advertisements
उत्तर
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
संबंधित प्रश्न
Fill in the blanks:
A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)
In the given figure ABC is an isosceles triangle and O is the centre of its circumcircle. Prove that AP bisects angle BPC .

In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30°, prove that BA:AT = 2:1.

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.

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is
Find the length of the chord of a circle in the following when:
Radius is 13 cm and the distance from the centre is 12 cm
ABC is a right triangle in which ∠B = 90°. If AB = 8 cm and BC = 6 cm, find the diameter of the circle inscribed in the triangle.
All the radii of a circle are _______________
A line segment with its end points on the circle is called a ______________
In the figure, a circle with center P touches the semicircle at points Q and C having center O. If diameter AB = 10, AC = 6, then find the radius x of the smaller circle.

