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

Question

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 (A) (a) 2 x+3 y=6 (B) (b) 3 x+2 y=6 (C) (c) Either (a) or (b) (D) (d) None of these

Tardigrade Admin · Accepted Answer

(i) Find the roots and take the equation as (x/a)+(y/b)=1. (ii) Roots of x2-5 x+6=0 are 2 and 3 . (iii) x-intercept is either 2 or 3. y-intercept is either 3 or 2 .

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

(a) $2 x + 3 y = 6$

(b) $3 x + 2 y = 6$

(c) Either (a) or (b)

(d) None of these

(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 .

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

(a) 2x+3y=6

(b) 3x+2y=6