Question : The radii of two concentric circles are 34 cm and 50 cm. A and D are the points on a larger circle and B and C are the points on a smaller circle. If ABCD is a straight line and BC = 32 cm, then what is the length of AD?
Option 1: 60 cm
Option 2: 80 cm
Option 3: 75 cm
Option 4: 40 cm
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: 80 cm
Solution : Given: Radius $OA = 50$ cm $OB = 34$ cm $BE = \frac{BC}{2} = \frac{32}{2} = 16$ Now, in $\triangle OBE$ $OE^2=OB^2-BE^2$ $⇒OE^2=34^2-16^2$ $⇒OE^2=1156-256=900$ $\therefore OE=30$ In $\triangle OAE$ $AE^2=OA^2-OE^2$ $⇒AE^2=50^2-30^2$ $⇒AE^2=2500-900=1600$ $\therefore AE=40$ $\therefore AD = AE×2 = 40×2= 80$ Hence, the correct answer is 80 cm.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The radius of the two concentric circles are 17 cm and 10 cm. A straight line ABCD intersects the larger circle at points A and D and intersects the smaller circle at points B and C. If BC = 12 cm, then the length of AD(in cm) is:
Question : Two circles of radii 12 cm and 13 cm are concentric. The length of the chord of the larger circle which touches the smaller circle is:
Question : The radii of two concentric circles are 13 cm and 8 cm. AB is the diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. The length of AD is:
Question : The Radii of the two circles are 20 cm and 4 cm. Length of the direct common tangent is 30 cm. What is the distance between their centres?
Question : A quadrilateral $ABCD$ circumscribes a circle and $AB=6\operatorname{cm},CD=5\operatorname{cm},$ and $AD=7\operatorname{cm}$. The length of side $BC$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile