Question 13. (a) In the figure (i) given below, AB is a diameter of a circle with centre O. AC and BD are perpendiculars on a line PQ. BD meets the circle at E. Prove that AC = ED. (b) In the figure (ii) given below, O is the centre of a circle. Chord CD is parallel to the diameter AB. If ∠ABC = 25°, calculate ∠CED.

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Asked: March 26, 20212021-03-26T12:51:57+05:30 2021-03-26T12:51:57+05:30In: ICSE

Question 13. (a) In the figure (i) given below, AB is a diameter of a circle with centre O. AC and BD are perpendiculars on a line PQ. BD meets the circle at E. Prove that AC = ED. (b) In the figure (ii) given below, O is the centre of a circle. Chord CD is parallel to the diameter AB. If ∠ABC = 25°, calculate ∠CED.

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This is an important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15(

a)we have been given in the figure AB is a diameter of a circle with centre O. AC and BD are perpendiculars on a line PQ. BD meets the circle at E. Now we have to Prove that AC = ED.

(b) In the figure (ii) given below, O is the centre of a circle. Chord CD is parallel to the diameter AB. If ∠ABC = 25°, now we have to calculate ∠CED.

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Understanding ICSE Mathematics
Question 13