Home
Class 11
MATHS
[" If "f(x),g(x),h(x)" are three polynom...

[" If "f(x),g(x),h(x)" are three polynomials of degree "2" ,then "phi(x)=|[f(x),g(x),f(x)],[f(x),g^((x)),h^((x))],[" polynomial of degree "," (b) "3," (c) "4]quad [" f(x) ",g^((x))h^((x))],[f'(x),g'(x)]|" is a "],[[" (a) "2," (d) none of these "]]

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) , g(x) and h(x) are 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 :

If f(x),g(x)a n dh(x) are three polynomial of degree 2, then prove that phi(x)=|f(x)g(x)h(x)f'(x)g'(x h '(x)f' '(x)g' '(x )h ' '(x)| is:

If f(x),g(x)a n dh(x) are three polynomial of degree 2, then prove that phi(x)=|[f(x)g(x)h(x)];[f'(x)g'(x) h '(x)];[f' '(x)g' '(x )h ' '(x)]| is: constant

If f(x),g(x) andh (x) are three polynomial of degree 2, then prove that f(x)g(x)h(x)f'(x)g'(xh'(x)f''(x)g''(x)h''(x)| is a constant polynomial.

If f(x), g(x) and h(x) are three polynomials of degree 2, then prove that phi(x)=|(f(x),g(x),h(x)),(f'(x),g'(x),h'(x)),(f''(x),g''(x),h''(x))| is a constant polynomial.

If f(x),g(x)a n dh(x) are three polynomial of degree 2, then prove that "phi(x)=|{:(f(x),g(x),h(x)),(f'(x),g'(x),h'(x)),(f''(x),g''(x),h''(x)):}| is a constant polynomial.

If f(x),g(x)a n dh(x) are three polynomial of degree 2, then prove that varphi(x)=|f(x)g(x)h(x)f'(x)g'(x h '(x)f' '(x)g' '(x h ' '(x)| is a constant polynomial.

If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],[f',g',h'],[ f'', g'', h'' ]| then F'(x) is

If f(x),g(x),h(x) are polynomials in x of degree 2 If F(x)=det[[f',g,hf',g',h'f'',g'',h'']] then F'(x) is