Advertisements
Advertisements
प्रश्न
If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.
पर्याय
True
False
Advertisements
उत्तर
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
संबंधित प्रश्न
From an external point P, tangents PA and PB are drawn to the circle with centre O. If CD is the tangent to the circle at point E and PA = 14 cm. Find the perimeter of ABCD.
In the given figure, the chord AB of the larger of the two concentric circles, with center O, touches the smaller circle at C. Prove that AC = CB.
In Fig. 1, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm, BC = 9 cm and CD = 8 cm. Find the length of the side AD.
In the given figure, O is the centre of the circle. Find ∠CBD.
In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.
In the given figure, a ∆ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC are of lengths 8 cm and 6 cm respectively. Find the lengths of sides AB and AC, when area of ∆ABC is 84 cm2.
Use the figure given below to fill in the blank:
If the length of RS is 5 cm, the length of PQ = _______
From the figure, identify a diameter.
What is the area of a semi-circle of diameter ‘d’?
