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```        Q1    What are harmonic progressions and what is harmonic mean. Explain with formulas.                            Q2     If the ellipse passes through origin and has it foci ( 1,0) and (3,0) then find its equation.

Q3    If sinC + SinD = A and Cos C – Cos D = B  then find the value of Tan (C  – D)/2
Q4    The  total number of ways of selecting Five Letters of the words INDEPENDENT. Also tell me the formula used.

```
7 years ago

Nehal Wani
21 Points
```										Ans 2.
Mid-pt of the foci gives the center of the ellipse.
Mid pt of (1,0) and (3,0) is (2,0)
Equation of major axis is the line joining the foci which is y=0
The ellipse passes through the origin. Therefore, Length of semi major axis is=a=2units
Distance between foci=2ae=2units
=> e=1/2
b2=a2(1-e2)=4(3/4)=3
Therefore Equation of ellipse:
[(x-2)2/4]+[(y)2/3]=1
```
7 years ago
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