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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.

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.

Grade:12

1 Answers

Nehal Wani
21 Points
11 years ago

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

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