Question
Length of a chord in a circle of radius 'r' cm, is 16 cm
and distance between chord and centre of the circle is 15 cm. Find the value of (5r - 19).Solution
AB is the chord of circle.
Perpendicular line joining the centre of circle and chord, bisects the chord.
i.e. AC = BC = (16/2) = 8 cm
By Pythagoras theorem,
OA 2 = OC 2 + AC 2
Or, r 2 = 15 2 + 8 2
Or, r 2 = 225 + 64
Or, r 2 = 289
So, 'r' = 17
But length cannot be negative. So, 'r' = 17
Required value = 5 X 17 - 19 = 66
India’s foreign exchange reserves dropped to what value for the week ending October 18, 2024?
What was the cut-off rate in RBI’s ₹1 trillion Variable Rate Reverse Repo (VRRR) auction on 8th July 2025?Â
Which regulatory body imposed fines on Axis Bank and HDFC Bank for failing to adhere to specific guidelines?
At the ISSF Junior World Cup 2025, hosted in New Delhi, who won the women’s 50m prone gold medal?Â
Recently the Election Commission of India is hosting a two-day international conference on the theme ‘Role, Framework & Capacity of Election Manageme...
Which team won the 15th Hockey India Sub Junior Women National Championship 2025?Â
Under Pradhan Mantri Kisan Sampada Yojana (PMKSY), what was the fund allocation for 2024–25?Â
What was the major update from the RBI in the first quarter of FY 2025-26?Â
The Indian Air Force is participating in the 8th edition of the bilateral air exercise ‘Garuda 25’ with the French Air and Space Force at which loca...
Who became India’s first under-17 World Champion in the 110kg Greco Roman wrestling category in 2025?Â
Relevant for Exams:
