Question
In the figure P is a point which is 12 cm away from the
centre of the circle O. A line drawn from P point cuts circle at point A and B respectively. If PB = 9 cm, AB = 2 cm Then find out the radius of the circle?Solution
Let the radius of a circle = r cm. PO = 12 cm then, PC = 12 cm - r PC = 12 - r PD = 12 + r ∵ PB = 9 cm AB = 2 cm ∴ then PA = 9 - 2 = 7 cm PA × PB = PC × PD 7 × 9 = (12-r) (12+r) 63 = 144 - r² r² = 144 - 63 = 81 r = √81 r = 9 cm
‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.
...If a + `1/b` = 1 and b + `1/c` =1 , then the value of c + `1/a` is
The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:
√(92×8 ×52+700) = ?
If x4 + x - 4 = 47 then find the value of (x + x-1).
If a + b + c = 5, a³ + b³ + c³ = 85 and abc =25, then find the value of a² + b² + c² – ab –bc – ca
- If x + 4y = 26 and 4x + y = 41, then find the value of (x - y).
- If p = 25 - q - r and pq + r(p + q) = 256, then find the value of (p² + q² + r²).
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7
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