Question
Two chords PQ and RS intersect each other at point ‘A’
inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.Solution
PA = 5 – 1.8 = 3.2 cm
Since, PQ and RS are two chords and intersect each other at point ‘A’.
So, PA × AQ = RA × AS
Or, 3.2 × 1.8 = 3.6 × AS
So, AS = 1.6 cm
And, RS = RA + AS = 3.6 + 1.6 = 5.2 cm
Average run per wicket of a bowler is 11.5. In his next innings bowler took 5 wickets and conceded 40 runs, thereby he reduced his bowling average by 0....
The ratio of the salaries of Amit, Raj, and Dev is 5:6:7 respectively. Sumit’s salary is 10 rupees less than Amit’s. If the difference between Dev ...
The price of sugar is increased by 35%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original c...
- If ‘A’, ‘B’ and ‘C’ are in proportion in the given order while ‘A’ = 20 and ‘B’ = 40, then find the value of ‘C’.
Two numbers are respectively 30% and 40% more than a third number. Find the ratio of two numbers.
‘x’ varies directly as ‘y’. If at x = 24 the value of ‘y’ is 25% more than ‘x’, then find the value of ‘x’ when ‘y’ = 55.
...- The ratio of the number of candies with Charu and Disha is 7:5. Disha's father gave her 4 more candies after while Charu stole 33(1/3)% candies possessed b...
Find the third proportional to 12 and 48?
Two years ago the ratio of annual salary of three friends P, Q and R is 4 : 3 : 5. Every year since then the salary of P, Q and R increases by 10%, 12% ...
646 number of chocolates divided among A, B and C in the ratio 1/2: 2 : 1/3 respectively. How many more chocolates did A receive as compared to that rec...
