Consider the family of curves `Ax^(2)+By^(2)=1` find the order and degree

The differential equation of the family of curves, y^2 = 4a ( x + b) , a b in R , has order and degree respectively equal to :

Consider the family ol circles x^(2)+y^(2)=r^(2),2

The differential equation of the family of curves, y^2 = 4a(x+b)(x+b),a,b,in R , has order and degree respectively equal to :

Form a differential equation for the family of curves represented by ax^(2)+by^(2)=1, where a and b are arbitrary constants.

If a and b are arbitrary constants, then the order and degree of the differential equation of the family of curves ax^(2)+by^(2)=2 respectively are

Consider the family of circles x^2 + y^2= r^2 2 lt r lt 5 . If in the first quadrant, the common tangent to a circle of this family and the ellipse frac{x^(2)}{25} +frac{y^(2)}{4} =1 meets the axes at A and B then find the equation of the locus of middle point of AB.

Find the differential equation of the family of curves y=Ae^(2x)+Be^(-2x), where A and B are arbitrary constants.

The degree of the differential equation corresponding to the family of curves y=a(x+a)^(2) , where a is an arbitrary constant is

Find the orthogonal of the family of circles x^(2) + y^(2) = 2ax each of which touches the y-axis at origin.

Consider the differential equation of the family of curves y^2=2a(x+sqrt(a)) , where a is a positive parameter.Statement 1: Order of the differential equation of the family of curves is 1.Statement 2: Degree of the differential equation of the family of curves is 2. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true