how can display a post on home screen without images

This should help you..

<?php
function remove_images( $content )
{
    //Run only on the front page, in your case the homepage
    if(is_front_page())
    {
        //Remove the images
        $postOutput = preg_replace('/<img\b[^>]++>/i','', $content);

        //Get the first 200 characters only, you can change the number if you want
        $postOutput = wp_html_excerpt($postOutput, 200);

        return $postOutput;
    }

    return $content;
}

add_filter( 'the_content', 'remove_images', 100 );
?>

Put this code in your functions.php file.