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Kartikeya Sharma Grade: 12
        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

Answers : (1)

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

6 years ago
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