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We investigate the clustering properties of ~1550 broad-line active galacticnuclei (AGNs) at <z>=0.25 detected in the ROSAT All-Sky Survey (RASS) throughtheir measured cross-correlation function with ~46,000 Luminous Red Galaxies(LRGs) in the Sloan Digital Sky Survey. By measuring the cross-correlation ofour AGN sample with a larger tracer set of LRGs, we both minimize shot noiseerrors due to the relatively small AGN sample size and avoid systematic errorsdue to the spatially varying Galactic absorption that would affect directmeasurements of the auto-correlation function (ACF) of the AGN sample.  The measured ACF correlation length for the total RASS-AGN sample(<L_(0.1-2.4 keV)>=1.5 x 10^(44) erg/s) is r_0=4.3^{+0.4}_{-0.5} h^(-1) Mpc andthe slope \gamma=1.7^{+0.1}_{-0.1}. Splitting the sample into low and high L_Xsamples at L_(0.5-10 keV)=10^(44) erg/s, we detect an X-ray luminositydependence of the clustering amplitude at the ~2.5 \sigma level. The low L_Xsample has r_0=3.3^{+0.6}_{-0.8} h^(-1) Mpc (\gamma=1.7^{+0.4}_{-0.3}), whichis similar to the correlation length of blue star-forming galaxies at lowredshift. The high L_X sample has r_0=5.4^{+0.7}_{-1.0} h^(-1) Mpc(\gamma=1.9^{+0.2}_{-0.2}), which is consistent with the clustering of redgalaxies. From the observed clustering amplitude, we infer that the typicaldark matter halo (DMH) mass harboring RASS-AGN with broad optical emissionlines is log (M_DMH/(h^(-1) M_SUN)) =12.6^{+0.2}_{-0.3}, 11.8^{+0.6}_{-\infty},13.1^{+0.2}_{-0.4} for the total, low L_X, and high L_X RASS-AGN samples,respectively.

The Spatial Clustering of ROSAT All-Sky Survey AGN: I. The cross-correlation function with SDSS Luminous Red Galaxies