Question : In a circle with centre $O$ and diameter $E F$, if the two chords $A E=A F$, then $ \angle A E F$ is:
Option 1: 80°
Option 2: 90°
Option 3: 45°
Option 4: 60°
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 45°
Solution : In a circle with centre O and diameter EF, if the two chords AE = AF, then they form an isosceles triangle. Also, we know that the angle in a semicircle is 90°. $⇒\angle EAF = 90°$ Let $\angle AEF = \angle AFE = x$ Since the sum of angles in a triangle is 180°. $⇒x+x+\angle EAF = 180°$ $⇒2x+90° = 180°$ $⇒2x=90°$ $⇒x=45°$ So, $\angle AEF = 45°$ Hence, the correct answer is 45°.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, then $\angle$APB is:
Question : AB is the diameter of a circle with centre O. P is a point on it. If $\angle$POA = 120°. Then $\angle$PBO = ?
Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle$PQR = 30°, then $\angle$RPQ =?
Question : Points D, E, and F all lie on the circumference of a circle with centre O. If angle DEF = 48°, then what is a possible value of angle DOF?
Question : AB and BC are two chords of a circle with centre O. Both chords are on either side of the centre O. Point A and point C are connected to the centre O, such that $\angle B A O=36^{\circ}$ and $\angle B C O=48^{\circ}$. What is the degree measure of the angle subtended by the
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile