A display apparatus (15, 15', 15", 401, 50) with an image-capturing function, comprising: image-capturing means (1, 501) for capturing an image signal; outputting means (4, 24, 33, 503) configured to output the image signal captured by the image-capturing means to an external apparatus (12, 402, 403) which is configured to process the image signal and generate a processed image signal; inputting means (5, 25, 34, 503) configured to input the processed image signal generated by the external apparatus from the external apparatus; display means (8, 502) for displaying an image based on the image signal or the processed image signal; image-capture-distortion correcting means configured to perform image-capture-distortion correction on the image signal captured by the image-capturing means; display-distortion correcting means configured to perform display-distortion correction; and controlling means (11, 508) configured to confirm: the presence of a combining function, the presence of a distortion correction function, if present, the type of the distortion correction function, the presence of a position information generation function, and if present, the type of the position information generation function; of the external apparatus, and, depending on said confirming, set a preset mode which defines: whether or not the image-capture-distortion correcting means is to perform the image-capture-distortion correction, whether or not the display-distortion correcting means is to perform the display-distortion correction, and whether or not the outputting means (4, 24, 33, 503) is to output the image signal. image-capturing means (1, 501) for capturing an image signal; outputting means (4, 24, 33, 503) configured to output the image signal captured by the image-capturing means to an external apparatus (12, 402, 403) which is configured to process the image signal and generate a processed image signal; inputting means (5, 25, 34, 503) configured to input the processed image signal generated by the external apparatus from the external apparatus; display means (8, 502) for displaying an image based on the image signal or the processed image signal; image-capture-distortion correcting means configured to perform image-capture-distortion correction on the image signal captured by the image-capturing means; display-distortion correcting means configured to perform display-distortion correction; and controlling means (11, 508) configured to confirm: the presence of a combining function, the presence of a distortion correction function, if present, the type of the distortion correction function, the presence of a position information generation function, and if present, the type of the position information generation function; of the external apparatus, and, depending on said confirming, set a preset mode which defines: whether or not the image-capture-distortion correcting means is to perform the image-capture-distortion correction, whether or not the display-distortion correcting means is to perform the display-distortion correction, and whether or not the outputting means (4, 24, 33, 503) is to output the image signal. the presence of a combining function, the presence of a distortion correction function, if present, the type of the distortion correction function, the presence of a position information generation function, and if present, the type of the position information generation function; of the external apparatus, and, depending on said confirming, set a preset mode which defines: whether or not the image-capture-distortion correcting means is to perform the image-capture-distortion correction, whether or not the display-distortion correcting means is to perform the display-distortion correction, and whether or not the outputting means (4, 24, 33, 503) is to output the image signal. whether or not the image-capture-distortion correcting means is to perform the image-capture-distortion correction, whether or not the display-distortion correcting means is to perform the display-distortion correction, and whether or not the outputting means (4, 24, 33, 503) is to output the image signal.