term without line numbers and highlight for current line

Question

I have the following settings in ~/.emacs:

(setq linum-relative-current-symbol "")
(linum-mode)
(linum-relative-global-mode)
(global-hl-line-mode t)

In order to supress both these features in terminal, I added the following to ~/.emacs:

(add-hook 'term-mode-hook (lambda () (linum-mode -1)))
(add-hook 'term-mode-hook (lambda () (hl-line-mode -1)))

Now when I M-x term RET /bin/zsh RET, it produces an unusable terminal. See the image below:

As you can see, it still uses line numbers and highlights the current line.

What am I doing wrong? How do I set things right?