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Simplify:
`11^(1/2)/11^(1/4)`
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Simplify:
`7^(1/2) . 8^(1/2)`
Concept: undefined >> undefined
If O is the centre of the circle, find the value of x in the following figures.

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If O is the centre of the circle, find the value of x in the following figures.

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O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A.
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In the given figure, O is the centre of the circle, BO is the bisector of ∠ABC. Show that AB = BC.

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In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.

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In the given figure, if ∠ACB = 40°, ∠DPB = 120°, find ∠CBD.

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In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.

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In the given figure, O is the centre of the circle, prove that ∠x = ∠y + ∠z.

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In the given figure, O is the centre of a circle and PQ is a diameter. If ∠ROS = 40°, find ∠RTS.

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Prove that the angle in a segment shorter than a semicircle is greater than a right angle.
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Prove that the angle in a segment greater than a semi-circle is less than a right angle.
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Prove that the line segment joining the mid-point of the hypotenuse of a right triangle to its opposite vertex is half the hypotenuse.
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In the given figure, two circles intersect at A and B. The centre of the smaller circle is Oand it lies on the circumference of the larger circle. If ∠APB = 70°, find ∠ACB.

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