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प्रश्न
Write True or False. Give reasons for your answers.
If a circle is divided into three equal arcs, each is a major arc.
पर्याय
True
False
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उत्तर
False.
Consider three arcs of same length as AB, BC, and CA. It can be observed that for minor arc BDC, CAB is a major arc. Therefore, AB, BC, and CA are minor arcs of the circle.
संबंधित प्रश्न
In Fig., if AB = AC, prove that BE = EC
Write True or False. Give reason for your answer.
Line segment joining the centre to any point on the circle is a radius of the circle.
If the tangent at point P to the circle with center O cuts a line through O at Q such that PQ= 24cm and OQ = 25 cm. Find the radius of circle
A circle is inscribed in a ΔABC touching AB, BC and AC at P, Q and R respectively. If AB = 10 cm, AR = 7 cm and CR = 5 cm, find the length of BC.
Find the length of the chord of a circle in the following when:
Radius is 1. 7cm and the distance from the centre is 1.5 cm
In the following figure, OABC is a square. A circle is drawn with O as centre which meets OC at P and OA at Q.
Prove that:
( i ) ΔOPA ≅ ΔOQC
( ii ) ΔBPC ≅ ΔBQA
Find the length of the chord AC where AB and CD are the two diameters perpendicular to each other of a circle with radius `4sqrt(2)` cm and also find ∠OAC and ∠OCA
A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.
O is the circumcentre of the triangle ABC and D is the mid-point of the base BC. Prove that ∠BOD = ∠A.
What is the name for the perimeter of a circle?
