v v Q. (1). If 1,2,3 are the roots of the equation x 3 +ax 2 +bx+c=0 then what is the value of c? Ans. Apply product of roots αβγ= -c/a=- constant term/coefficient of x 3 1x2x3 = -c/1 → 6 = -c → c= - 6 Q.2. If (x+√2) is a factor of kx 2 -√2 x + 1, then what is the value of k? Ans. Putting value of x in given equation so x+ √ 2=0 then x= - √ 2 → k (- √ 2) 2 - √ 2 × (-√ 2) +1 = 0 2k+2+1=0 ...