Chord Properties of Circles
Trending Questions
The perpendicular bisectors of the three sides of an acute triangle intersect each other
Inside the triangle
on the greatest side of the triangle.
outside the triangle
at any vertex of the triangle
Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60∘.Also find the area of the corresponding major segment. [Use π=227]
The perpendicular bisectors of three sides of an obtuse angled triangle intersect each other outside the triangle.
True
False
P is the centre of the circle . Prove that ∠XPZ=2(∠XZY+∠YXZ). [3 MARKS]
If a chord subtends an angle of 90∘ at any point of the circumference of the circle. The name of the chord is
Find the equation of the circle which touches the x-axis at a distance of 3 from the origin and cuts an intercepts of 6 on the y-axis.
x2 + y2 − 6x − 6√2y + 9 = 0
x2 + y2 + 6x − 6√2y + 9 = 0
x2 + y2 − 6x − 6√2y + 9 = 0
x2 + y2 + 6x + 6√2y + 9 = 0
All the radii of a circle are.
Angle between the hour and minute hand of a clock at 11:15 is -
112.5∘
90∘
120∘
150∘
is a chord of the parabola which subtends a right angle at the vertex. Then locus of the centroid of triangle , where is the focus of a given parabola, is
In the given figure, a circle touches the side BC of △ABC at P and AB and AC produced at Q and R respectively. If AQ=15 cm, then the perimeter of △ABC is
If AB is a chord of a circle and P and Q are two points on the circle different from A and B, then:
The angle subtended by AB at P and Q are either equal or supplementary.
The sum of the angle subtended by AB at P and Q is always equal two right angle.
The angle subtended at P and Q by AB are always equal.
The sum of the angle subtended at P and Q is equal to four right angles
A chord of length 24 cm is at a distance of 5 cm from the centre of a circle. find the length of the chord of the same circle which is at a distance of 12 cm from the centre.
10 cm
15 cm
8 cm
13 cm
True
False
- √3x−y=2;√6x−√2y=2
- x = 2; 2x - 7y - 5 = 0
- x3+y2=1;x+3y2=1
- 3y - 2x = 2; 2x - 3y = 2
A chord of a circle of radius 28 cm subtends a right angle at the center. What is the area of the minor sector?
- 80∘
- 70∘
- 60∘
- 50∘
The equation of the directrix of the parabola x2−4x−3y+10=0 is
y=−54
y=54
y=−34
x=54
What will be the area of the largest square that can be cut out of a circle of radius ?
Diameter is the longest chord of the circle.
- True
- False
The number of obtuse angles in the given figure is
a) 2
b) 3
c) 4
d) 5
The tangents to the circumcircle of an isosceles ΔABC at A, which AB=AC, is parallel to BC.
The figure shows two concentric circles with centre O. AB and APQ are tangents to the inner circle from point A lying on the outer circle. If AB = 7.5 cm then AQ is equal to:
12 cm
15 cm
18 cm
10 cm
In the given figure O is the centre of circle, ∠BAD = 750 & chord BC = chord CD. Find ∠BOC, ∠OBD, ∠BCD.
75, 10, 105
75, 10, 115
75, 15, 115
75, 15, 105
80, 10, 105
80, 10, 115
80, 15, 105
80, 15, 115