[2 Mark Question Answer]

Question 12 Marks

In the given figure, $AB , BC$ and CD are equal chords of a circle with centre O and AD is a diameter. If $\angle DEF =110^{\circ}$,find
(i) $\angle AEF$
(ii) $\angle FAB$.

Answer

(i) $\angle AEF =20$
(ii) $\angle FAB =130$
[Hint.
Join $A E, B E$ and $C E$. Then, $\angle AEB =\angle BEC =\angle CED$, $\angle AED =90^{\circ}$.]

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Question 22 Marks

In the given figure, arc AC and arc BD are two equal ares of a circle. Prove that chord AB and chord CD are parallel.

Answer

[Hint. Join AD. Since each arc subtends equal $\angle s$ at the circumference, we have $\angle C D A=\angle B A D$. But, these are alt. $\angle s$.]

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Question 32 Marks

In the given figure, AB, BC and CD are equal chords of a circle with centre O and AD is a diameter. If $\angle DEF =110^{\circ}$ find (i) $\angle AEF \quad$ (ii) $\angle FAB$.
[Hint. Join AE, BE and CE. Then, $\angle AEB =\angle BEC =\angle CED$, $\left.\angle AED =90^{\circ}.\right]$

Answer

(i) $\angle AEF =20^{\circ}$ (ii) $\angle FAB =130^{\circ}$

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Question 42 Marks

In the given figure, arc AC and are BD are two equal arcs of a circle. Prove that chord AB and chord CD are parallel.
[Hint. Join AD. Since each are subtends equal $\angle s$ at the circumference, we have $\angle C D A=\angle B A D$. But, these are alt. $\angle s$.]

Answer

self

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MATHEMATICS [2 Mark Question Answer]

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