Question

(b) 2
(c)-2
(d) -1
26. A quadratic equation whose one root is 2 and the sum of whose roots is zero, is
(a) t - t=0 (b) x² - 4 = 0 (c) 4x² - 1 = 0 (d) x - 2 = 0
27. If one root of the equation ar + bx + c = 0 is three times that​

Answer 1

$\alpha = 2 \: and \: \alpha + \beta = 0(given)$

So, when we put the value in that ,then we have

$2 + \beta = 0 \\ \beta = - 2 \\ so \alpha \beta = 2 \times - 2 \\ \alpha \beta = - 4$

so required polynomial is,

$x ^{2} - ( \alpha + \beta )x + \alpha \beta$

$x ^{2} - 0 + ( - 4) \\ x ^{2} - 4(is \: the \: required \: polynomial)$