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
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 radius of the circle is 10 cm, find the area of the rhombus.
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.
The given figure shows a circle with centre O. Also, PQ = QR = RS and ∠PTS = 75°.
Calculate:
- ∠POS,
- ∠QOR,
- ∠PQR.
In fig. the centre of the circle is O. PQ and RS are two equal chords of the circle which , when produced , meet at T outside the circle . Prove that (a) TP = TR (b) TQ = TS.
Two congruent drdes have their centres at 0 and P. Mis the midpoint of the line segment OP. A straight line is drawn through M cutting the two circles at the points A, B, C and D. Prove that the chords AB and CD are equal.
AB and AC are two equal chords of a circle with centre o such that LABO and LCBO are equal. Prove that AB = BC.
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 circles intersect in P and Q. A straight line through P meets the circles in A and B. Prove that QA = QB
In the adjoining diagram, chords AB, BC and CD are equal. O is the centre of the circle. If ∠ ABC = 120°, Calculate: (i) ∠ BAC, (ii) ∠ BEC, (iii) ∠ BED, (iv) ∠ COD
