Advertisements
Advertisements
Question
If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.
Options
True
False
Solution
This statement is True.
Explanation:
Since, any diameter of the circle subtends a right angle to any point on the circle.
If AOB is a diameter of a circle and C is a point on the circle, then ΔACB is right angled at C.
In right angled ΔACB,
AC2 + BC2 = AB2 ...[Use Pythagoras theorem]
APPEARS IN
RELATED QUESTIONS
Two circles touch each other externally at P. AB is a common tangent to the circles touching them at A and B. The value of ∠ L APB is
(A) 30°
(B) 45°
(C) 60°
(D) 90°
Write True or False. Give reasons for your answers.
If a circle is divided into three equal arcs, each is a major arc.
In fig. there are two concentric circles with Centre O of radii 5cm and 3cm. From an
external point P, tangents PA and PB are drawn to these circles if AP = 12cm, find the
tangent length of BP.
true or false
A chord of a circle, which is twice as long is its radius is a diameter of the circle.
In a cyclic quadrilateral ABCD if AB || CD and ∠B = 70°, find the remaining angles.
The greatest chord of a circle is called its
In the given circle with diameter AB, find the value of x.
In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
| radius (r) | diameter (d) | Circumference (C) |
| 15 cm |
AB and AC are two equal chords of a circle. Prove that the bisector of the angle BAC passes through the centre of the circle.
