Advertisements
Advertisements
प्रश्न
Find the value of x° in the following figure:
उत्तर
∠BOC = 30° + 60°
= 90°
∠BAC (x) = `1/2 ∠"BOC"` ...(by theorem)
= `1/2 xx 90^circ`
x = 45°
APPEARS IN
संबंधित प्रश्न
A straight line is drawn cutting two equal circles and passing through the mid-point M of the line joining their centres O and O’
Prove that the chords AB and CD, which are intercepted by the two circles are equal.
Two equal chords AB and CD of a circle with centre O, intersect each other at point P inside the circle, prove that:
(i) AP = CP,
(ii) BP = DP
OABC is a rhombus whose three vertices A, B and C lie on a circle with centre O. If the area of the rhombus is `32sqrt(3) cm^2` find the radius of the circle.
In a circle, with centre O, a cyclic quadrilateral ABCD is drawn with AB as a diameter of the circle and CD equal to radius of the circle. If AD and BC produced meet at point P; show that ∠APB = 60°.
The given figure shows a circle with centre O. Also, PQ = QR = RS and ∠PTS = 75°.
Calculate:
- ∠POS,
- ∠QOR,
- ∠PQR.
In fig, AB and CD are two equal chords of a circle with centre O. If M and N are the midpoints of AB and CD respectively,
prove that (a) ∠ ONM = ∠ ONM (b) ∠ AMN = ∠ CNM.
In fig., chords AB and CD of a circle intersect at P. AP = 5cm, BP= 3cm and CP = 2.5cm. Determine the length of DP.
A straight line is drawn cutting two equal circles and passing through the mid-point M of the line joining their centers O and O'. Prove that the chords AB and CD, which are intercepted by the two circles, are equal.
Two equal chords AB and CD of a circle with center O, intersect each other at point P inside the circle.
Prove that: (i) AP = CP ; (ii) BP = DP
Two equal circles intersect in P and Q. A straight line through P meets the circles in A and B. Prove that QA = QB
