The sum of the squares of the intercepts made by the line 5 x - 2 y = 10 on the co-ordinate axes equals

The given line is $5x-2y=10$

$\Rightarrow$The intercept form of the line is $\frac{x}{2}-\frac{y}{5}=1$

Thus, the intercepts are $2, -5$

Hence, the sum of squares of the intercepts is $2^2+{\left(-5\right)}^2$

$=2^2+5^2=4+25=29$