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
Prove that the tangents at the extremities of any chord make equal angles with the chord.
In the fig two tangents AB and AC are drawn to a circle O such that ∠BAC = 120°. Prove that OA = 2AB.
In the given figure, O is the centre of the circle. If ∠AOB = 140° and ∠OAC = 50°; find:
- ∠ACB,
- ∠OBC,
- ∠OAB,
- ∠CBA.

From an external point P , tangents PA = PB are drawn to a circle with centre O . If \[\angle PAB = {50}^o\] , then find \[\angle AOB\]
Construct a triangle ABC with AB = 5 cm, ∠B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC.
Construct a triangle XYZ in which XY = YZ= 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle and measure its circumradius.
A line segment joining any point on the circle to its center is called the _____________ of the circle
Two circles with centres O and O' of radii 3 cm and 4 cm, respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles. Find the length of the common chord PQ.
If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.
From the figure, identify a chord.

