If f(x) g(x) and h(x) are three polynomi...

If f(x) g(x) and h(x) are three polynomials of degree 2 and `Delta` = `|( f(x), g(x), h(x)), (f'(x), g'(x), h'(x)), (f''(x), g''(x), h''(x))|` then `Delta(x)` is a polynomial of degree (dashes denote the differentiation).

Answer

Step by step text solution for If f(x) g(x) and h(x) are three polynomials of degree 2 and Delta = |( f(x), g(x), h(x)), (f'(x), g'(x), h'(x)), (f''(x), g''(x), h''(x))| then Delta(x) is a polynomial of degree (dashes denote the differentiation). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Topper's Solved these Questions

DIFFERENTIATION
ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
DIFFERENTIATION
ARIHANT MATHS|Exercise Exercise For Session 8|14 Videos
DIFFERENTIAL EQUATION
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

If F(X) , G(X) and H(X) are three polynomials of degree 2, then phi(x)=|(F(X),G(X),H(X)),(F'(X),G'(X),H'(X)),(F''(X),G''(X),H''(X))| is a polynomial of degree

Let f(x)=x, g(x)=1//x and h(x)=f(x) g(x). Then, h(x)=1, if

x is any rational number

x is a non-zero real number

x is a real number

x is a rationa number

If f(x) and g(x) are polynomial functions of x, then domain of (f(x))/(g(x)) is

`(-oo, 0]`

`[0, oo)`

R - {g(x) = 0}