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  4. If the roots of the quadratic equation x2-5 x+6=0 are the intercepts of a line, then the equation of the line can be

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Q. If the roots of the quadratic equation $x^2-5 x+6=0$ are the intercepts of a line, then the equation of the line can be

Coordinate Geometry

Solution:

(i) Find the roots and take the equation as $\frac{x}{a}+\frac{y}{b}=1$.
(ii) Roots of $x^2-5 x+6=0$ are 2 and 3 .
(iii) $x$-intercept is either 2 or 3. $y$-intercept is either 3 or 2 .