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In the figure, \(O \) is the centre of the circle with \(AB \) as diameter. If \(\angle AOC=40^o \), the value of \(x \) is equal to
(Central angle is twice of inscribed angle)
(Angle in a semicircle is )
If one side of a cyclic quadrilateral is produced then the exterior angle is equal to its :
In one side of a cyclic quadrilateral is produced then the exterior angle is equal to its interior opposite angles.
Three chords AB, CD and EF of a circle are respectively 3 cm, 3.5 cm and 3.8 cm away from the centre, Then which of the following relations is correct ?
Longer the chord, shorter is the distance from the centre.
In the given figure, \(O \) is the centre of the circle If \(\angle CAB=40^o \) and \(\angle CBA=110^o \), the value of \(x \) is:
In
(Central angle is twice of inscribed angle)
In a cricle, chord AB of length of 6 cm is at a distance of 4 cm from the centre O. The length of another chord CD which is also 4 cm away from the centre is :
radius
In the figure, chord AB is greater than chord CD. OL and OM are the perpendicular from the centre O on these two chords as shown in the figure. The correct relation between OL and OM is :
longer the chord shorter is its distance from the centre
In the given figure, ABC is an equilateral triangle. Then measure of \( \angle\)BEC is:
(Opposite angles of quadrilateral)
The radius of a circle is 10 cm and the length of the chord is 12 cm.The distance of the chord from the centre is :
In the figure, \(O \) is the centre of the circle and \(\angle AOB=80^o \). The value of \( x\) is:
(Central angle is twice of inscribed angle)
In the figure, if AOB is a diameter of the circle and AC = BC, then \(\angle \)CAB is equal to
(angle in a semicircle)
AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, then the distance of AB from the centre of the circle is :
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is :
Radius
In the figure, \(O \) is the centre of the circle. If \(\angle OAB=40^o \), then \(\angle ACB \) is equal to:
(Both are radius)
(central angle is twice of inscribed angle)
In the figure, if \(\angle DAB=60^o,\angle ABD=50^o \) then \(\angle ACB \) is equal to:
(angles in same segments are equal)
Two circles intersect at the points A and B. AD and AC are diameters of the respective circles as shown in the following figure. Sum of \(\angle \)ABD and \(\angle \)ABC:
(arc is a semicircle)
(arc is a semicircle)
In the given figure, \(E \) is any point in the interior of the circle with centre \(O \). Chord \(AB \) = Chord AC. If \(\angle OBE=20^o \), then the value of \(x \) is:
(VOA)
In the figure, \(O \) is the centre of the circle and \(\angle AOB=60^o \), The value of \( x\) is:
(central angle is twice of inscribed angle)
In the figure, \(AB \) and \(CD \) are two chords of a circle with centre \(O \) and \(MN \) as diameter. They intersect at a point \(E \). If \(\angle AEN=\angle DEN=45^o \) and \(AB=6.5\ cm \), then the length of chord \(CD \) is equal to:
If the angle subtended by 2 chords is equal then the chords are equal
In the figure, chord \( DE\) is parallel to the diameter \(AC \) of the circle. If \(\angle CBE=60^o \), then the measure of \(\angle CED \) is:
(Angles on the same base)
(alternate angles)
In the figure, \(O \) is the centre of the circle and \(\angle AOC=130^o \). Then \(\angle ADC \) is:
In the figure, AB and CD are two equal chords of a circle with centre O, OP and OQ are perpendicular on chords AB and CD, respectively. If \(\angle \)POQ = \(150^o \), then \(\angle \)APQ is equal to
In the figure, \( BC\) is a diameter of the circle and \(\angle BAO=60^o \), Then \(\angle ADC \) is equal to:
(angles opposite to equal sides)
(angles in the same segment are equal)
In the figrue, two conggruent circles have centres O and O’. Arc AXB subtends and angle of \(75^o \) at the centre O and arc A’ Y B’ subtends an angle of \(25^o \) at the centre O’. Then the ratio of arcs AXB and A’ Y B’ is :
Ratio of arc