" obtain a deff."a^(n)" foom "Ax^(2)+By^(2)=1

The differential equation obtained by eliminating. constants A and B from Ax^(2)+By^(2)=1 is -

(ax^(2) + bx + c)^(n)

A sequence , a , ax , ax^(2), "……" ax^(n) , has odd number of terms . Find its median . (a) ax^(n-1) (b) ax^((n//2) - 1) (c) ax^(n//2) (d) ax^((n//2) + 1)

Obtain the differential equation by eliminating arbitrary constants. Ax^2+By^2=1

If slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 is n^(th) power of the other then prove that (ab^(n))^((1)/(n+1))+(a^(n)b)^((1)/(n+1))+2h=0

Find the derivative of x^n + ax^(n-1) + a^2x^(n-2) + ...+ a^(n-1)x + a^n for some fixed real number a.

If m and n are the roots of the equation ax ^(2) + bx + c = 0, then the equation whose roots are ( m ^(2) + 1 ) // m and ( n ^(2)+1) //n is