Advertisements
Advertisements
प्रश्न
AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24 cm then the distance of AB from the centre of the circle is
विकल्प
10 cm
9 cm
8 cm
6 cm
Advertisements
उत्तर
9 cm
Explanation;
Hint:
In ΔAOC,
AO = 15 cm
AC = `1/2` AB
= `1/2 xx 24`
= 12 cm
In ΔAOC,
OC2 = AO2 – AC2
= 152 – 122
= 225 – 144
= 81
OC = `sqrt(81)`
= 9 cm
APPEARS IN
संबंधित प्रश्न
Points A(–1, y) and B(5, 7) lie on a circle with centre O(2, –3y). Find the values of y. Hence find the radius of the circle.
In the given figure, PA and PB are the tangent segemtns to a circle with centre O. Show that he points A, O, B and P are concyclic.

In Fig. 5, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Prove that AC = CB.

If all the sides of a parallelogram touch a circle, show that the parallelogram is a rhombus.
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) |
| 1760 cm |
The tangent at a point C of a circle and a diameter AB when extended intersect at P. If ∠PCA = 110°, find ∠CBA see figure
On a common hypotenuse AB, two right triangles ACB and ADB are situated on opposite sides. Prove that ∠BAC = ∠BDC.
If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, prove that PA is angle bisector of ∠BPC.
In the following figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

In the following figure, O is the centre of the circle. Shade the smaller segment of the circle formed by CP.

