Question : If two concentric circles have radii of 5 cm and 3 cm, then the length of the chord of the larger circle that touches the smaller circle is:
Option 1: 6 cm
Option 2: 7 cm
Option 3: 10 cm
Option 4: 8 cm
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 8 cm
Solution : Let O be the centre of the concentric circle of radii 5 cm and 3 cm, respectively. Let PQ be a chord of the larger circle that touches the smaller circle at point M. OM $\perp$ PQ In $\triangle \mathrm{OMP}$, $\mathrm{OP^2=OM^2+PM^2}$ ⇒ $\mathrm{5^2=3^2+PM^2}$ ⇒ $\mathrm{PM^2 = 25-9}$ ⇒ $\mathrm{PM=4}\;\mathrm{cm}$ So, $\mathrm{PQ=2PM=8\;\mathrm{cm}}$ Hence, the correct answer is 8 cm.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Question : Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.
Question : Two concentric circles are drawn with radii of 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?
Question : The radii of two concentric circles are 17 cm and 25 cm. A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16 cm, then the length (in cm) of PS is:
Question : The radius of a circle is 5 cm. The length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile