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
In Figure 1, common tangents AB and CD to the two circles with centres 01and 02 intersect at E. Prove that AB = CD.

Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle, is bisected at the point of contact.
Write True or False. Give reasons for your answers.
A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm from the center of the circle.
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 = 29 cm, AD = 23 cm, ∠B = 90° and DS = 5 cm then find the radius of the circle.

In the given figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.

If AB, BC and CD are equal chords of a circle with O as centre and AD diameter, than ∠AOB =
The tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC.
Say true or false:
Two diameters of a circle will necessarily intersect.
If radius of a circle is 5 cm, then find the length of longest chord of a circle.
