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In this paper we establish an asymptotic formula for the number of rationalpoints of bounded anticanonical height which lie on a certain Zariski densesubset of the biprojective hypersurface \begin{align*} x_1y_1^2+...+x_sy_s^2 =0 \end{align*} in $\mathbb{P}^{s-1} \times \mathbb{P}^{s-1} $ with $s \geq 7$.This confirms the Manin conjecture for this variety.

Density of rational points on diagonal bidegree $(1,2)$ hypersurface in $\mathbb{P}^{s-1} \times \mathbb{P}^{s-1}$