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Standard IX

Mathematics

Diameter

Let C be the ...

Question

Let C be the mid-point of an arc AB of a circle such that m $⌢ A B = 183^{o}$ . If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies

in the interior of S

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in the exterior of S

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on the segment AB

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on AB and bisects AB

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Solution

The correct option is C (in the interior of S)

Given m $⌢ A B = 183^{o}$

With given information, the corresponding figure would be look like the following

$∴$ Centre will lie inside the shaded region of S (arc AB).

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Similar questions

Q. Let C be the mid-point of an arc AB of a circle such that m

\overset{⏜}{A B}

= 183°. If the region bounded by the arc ACB and the line segment AB is denoted by S, then the centre O of the circle lies

(a) in the interior of S

(b) in the exertior of S

(c) on the segment AB

(d) on AB and bisects AB

Q. Let

A B

be the latus rectum of the parabola

y^{2} = 4 a x

in the

x y - p l a n e

. Let

T

be the region bounded by the finite arc

A B

of the parabola and the lie segment

A B

. A rectangle

P Q R S

of maximum possible area is inscribed in

T

with

P, Q

on line

A B

m and

R, S

on arc

A B

, Then

a r e a (P Q R S) / a r e a (T)

equals.

Q. A point C is called the mid-point of a line segment

A B

if
(a) C is an interior point of AB
(b) AC = CB
(c) C is an interior point of AB, such that

A C = C B

(d) AC + CB = AB

Q. Let AB be a sector of a circle with centre O and radius d.

∠

AOB

= θ (< \frac{π}{2})

, and D be a point on OA such that BD is perpendicular OA. Let E be the midpoint of BD and F be a point on the arc AB such that EF is parallel to OA. Then the ratio of length of the arc AF to the length of the arc AB is?

O is the centre of the circle. AB is a minor arc of the circle. The angle subtended by AB at centre, $∠$ AOB = $110^{\circ}$ , then angle subtended by the arc at any point on the circle say $∠$ APB is ____, where P is any point on the circle.

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Let C be the mid-point of an arc AB of a circle such that m⌢AB=183o. If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies

The correct option is C (in the interior of S)Given m⌢AB=183o With given information, the corresponding figure would be look like the following ∴ Centre will lie inside the shaded region of S (arc AB).

Let C be the mid-point of an arc AB of a circle such that m $⌢ A B = 183^{o}$ . If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies

The correct option is C (in the interior of S)

Given m $⌢ A B = 183^{o}$

With given information, the corresponding figure would be look like the following

$∴$ Centre will lie inside the shaded region of S (arc AB).