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(c)
This is because, if P is located on the circumference, the angle would be lesser than 90 degrees. if P is located outside the circle, the angle would also be lesser than 90 degrees. Thus, by having P located in the circle, the 90 degree angle can be formed

# data[].attributes.body
ANS: a
Angle APC can only be formed on the circle

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(C)when point p is in the circle it can create a 90 degrees when the line CO is extended.therefore making APC right angle

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Ans: C
To get angle APC to be 90 degrees, all ends of the triangle has to touch the circumference of the circle to have one of the angles in the triangle to be 90 degrees. Point P is somewhere between point B and C so angles PAC and PCA can be the smaller angles.

# data[].attributes.body
ans: A
it is because if the point is tangent to the circle, it'll be 90 degrees.

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Ans: (C)
If there was an imaginary line that cuts the circle in half through O, the point would have to be on the circumference for the angle subtended by an arc on a semicircle to be 90 degrees. If the imaginary line were to be shifted to AC, the point on the circumference would be shifted to be inside the circle.

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Ans:A. Even if it is outside the circle it must still cut through one point hence point P is on the circle

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Ans: A (semicircle

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My answer is A only if line PC cuts through the origin. This is because for an angle in a circle to be 90 degrees, one of the lines must cut through the origin.

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Ans: (C) I choose this answer as when point P is in the circle,  it will be able to form a right angle as the line CO can be extended and add a straight line to have angle APC as 90 degrees.

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In the diagram , a point P is added such that angle APC=90 degrees. Where is the point P

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In the diagram , a point P is added such that angle APC=90 degrees. Where is the point P

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(A)  on the circle
(B) out side the circle
(C) inside the circle

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Choose the answer.
Explain why you chose that answer.