Math Chapter Wise question with answer

Q01 If a, b, c are rational numbers and ax2 +bx+c=0 and 2x2 +x–2=0 have a common root, then 4a–2b+3c is equal to English · UP PGT-2016 (02-02-2019) Q02 The condition that the equations ax2 +bx+c=0, a' x2 +b'x+c' = 0 have a common root is English · LT 2018 Q03 If the equations x3 +ax+1=0 and x4 +ax2 +1=0 have a common root, then the value of a is English · UP PCS (Pre) 2009 Q04 If one root of the equation ax² + bx + c = 0 is 3 − 4i, then 31a + b + c = ________. English · OAVS TGT 2022 Q05 If the roots of a quadratic equation ax2 +bx+6=0 are -3 and -2, then the value of 'b' is English · DSE TGT 2022 Q06 If b = c = 0 in the equation ax2 + bx + c = 0, then the value of roots are English · DSSSB PGT 2021