Question : A tangent is drawn from a point M to a circle, which meets the circle at T such that MT = 12 cm. A secant MAB intersects the circle at points A and B. If MA = 8 cm, what is the length (in cm) of the chord AB?
Option 1: 16
Option 2: 10
Option 3: 12
Option 4: 9
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: 10
Solution : According to the concept, MA × MB = MT 2 ⇒ 8 × MB = 12 2 ⇒ MB = $\frac{144}{8}$ ⇒ MB = 18 ⇒ MA + AB = 18 ⇒ 8 + AB = 18 ⇒ AB = 18 – 8 ⇒ AB = 10 ∴ The measure of AB is 10 cm. Hence, the correct answer is 10.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
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 : Let O be the centre of the circle and P be a point outside the circle. If PAB is a secant of the circle which cuts the circle at A and B and PT is the tangent drawn from P, then find the length of PT, if PA = 3 cm and AB = 9 cm.
Question : Which of the following statements is INCORRECT?
Question : DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, find KH.
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:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile