Question : The distance between two parallel chords of length 6 cm each, in a circle of diameter 10 cm is:
Option 1: 12 cm
Option 2: 8 cm
Option 3: 6 cm
Option 4: 4 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: 8 cm
Solution : A line passing through the centre perpendicularly bisects the chord into two equal parts. Equal chords are at equal distances from the centre. AB = CD = 6 cm, R = $\frac{10}{2}$ = 5 cm We have to find the length of EF. In $\triangle$BEO, $\angle$E is 90°, OB = 5 cm, BE = $\frac{6}{2}$ = 3 cm, From Pythagoras theorem in $\triangle$OBE, EO 2 = (OB 2 - BE 2 ) ⇒ EO 2 = (5 2 – 3 2 ) ⇒ EO 2 = (25 – 9) ⇒ EO 2 = 16 ⇒ EO = 4 cm Now, the length of the EF = 2 × OE = 2 × 4 = 8 cm ∴ The required distance between the chords is 8 cm. Hence, the correct answer is 8 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 lengths of two parallel chords of a circle are 10 cm and 24 cm lie on the opposite sides of the centre. If the smaller chord is 12 cm from the centre, what is the distance (in cm ) between the two chords?
Question : The length of the chord of a circle is 8 cm and the perpendicular distance between the centre and the chord is 3 cm, then the diameter of the circle is equal to:
Question : AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. If the distance between them is 2 cm, then the radius (in cm) of the circle is:
Question : The circumferences of the two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter (in cm) of the other circle.
Question : Two circles touch each other externally, having a radius of 12 cm and 8 cm, respectively. Find the length of their common tangent AB with point A on the bigger circle and B on the smaller circle.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile