Question
Twinkling of the Stars is due to the phenomenon of
Solution
When a ray of light travels from one medium to another it ‘bends’. This phenomenon is referred to as refraction. The atmosphere of the earth is made of different layers. It is affected by winds, varying temperatures and different densities as well. When light from a distant source (a star) passes through our turbulent (moving air) atmosphere, it undergoes refraction many times. When we finally perceive this light from a star, it appears to be twinkling.
If a + b = 56 and (a – b)² = 496, find the value of the product of a and b.
In △ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:
1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C)...
A company’s expenditure on three departments over four years is as follows (in thousands):
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
Find the 36th term of the series 25, 29, 33……
If √e + (1/√e) = 10, then find the value of e + (1/e).
- If n = 5 + √6, then find the value of (n + 1/n)².
- If (u + v) = 11 and uv = 24, then find the value of (u² + v²).
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