Math Chapter Wise question with answer

Q01 The value of 'a' for which one root of the quadratic equation (a² – 5a + 3)x² + (3a – 1)x + 2 = 0 is twice as large... English · EMRS PGT-2023 Q02 If one root of the equation (x − 4)(x − 6) = p is four times the other, then p equals to: English · NVS PGT 2022 Q03 If one root of the equation ax² + bx + c = 0 is 3 − 4i, then 31a + b + c = ________. English · OAVS TGT 2022 Q04 One non zero root of the equation (((()))) 2 x 3x 2 2 8 = English · DSE TGT 2022 Q05 If one root of any equation is (2 – 3i) (where i = –1), then what is the equation? English · DSSSB PGT 2021 Q06 Find the values of λ so that the equations x2 – λx – 21= 0 and x2 – 3λx + 35 = 0 may have one common root. English · OAVS TGT 2017