Question : The radius of a circle is 3 cm and 'O' is its centre. The length of the tangent (in cm) to the circle drawn from a point P, which is at a distance of 5 cm from 'O' is:
Option 1: 4
Option 2: 6
Option 3: 5
Option 4: 3
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: 4
Solution : Given: The radius of a circle OQ is 3 cm and 'O' is its centre. P at a distance of 5 cm from 'O'. If the tangent from P touches the circle at Q. Then, $\triangle$ PQO is a right-angled triangle and the length of the tangent is PQ. By using Pythagoras theorem, ⇒ OP2 = PQ2 + OQ2 ⇒ 52 = PQ2 + 32 ⇒ PQ2 = 25 – 9 ⇒ PQ = 4 cm Hence, the correct answer is 4.
Candidates can download this e-book to give a boost to thier preparation.
Application | Eligibility | Admit Card | Answer Key | Preparation Tips | Result | Cutoff
Question : A circle of radius 5 cm and the length of tangent drawn from a point $X$ outside the circle is 12 cm. The distance of the point $X$ from the centre of the circle is:
Option 1: 12 cm
Option 2: 11 cm
Option 3: 10 cm
Option 4: 13 cm
Question : In a circle with a radius 20 cm, P is a point located at a distance of y cm from the centre of the circle. If the length of a tangent drawn from point P to the circle is 21 cm, find the value of y.
Option 1: 31 cm
Option 2: 28 cm
Option 3: 29 cm
Option 4: 25 cm
Question : Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the centre of the circle.
Option 2: 9 cm
Option 3: 8 cm
Option 4: 10 cm
Question : A tangent AB at point A of a circle of radius 6 cm meets a line through the centre O at point B. If OB = 10 cm, then the length of AB (in cm) is equal to:
Option 1: 5
Option 3: 4
Option 4: 8
Question : In a circle with a radius of 20 cm, X is a point located at a distance of 29 cm from the centre of the circle. What will be the length (in cm) of a tangent drawn from point X to the circle?
Option 1: 23
Option 2: 20
Option 3: 21
Option 4: 18
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile