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 Let p and q be the roots of the equation x² – 2x + A = 0 and let r and s be the roots of the equation x² – 10x + B... English · EMRS PGT-2023 Q03 α and β are the roots of the equation px² + qx + r = 0 (p ≠ 0). If p, q, r are in A.P. and 1/α + 1/β = 4, then the... English · EMRS PGT-2023 Q04 The value of k for which the quadratic equation kx² + 8kx + 32 = 0 has equal roots is: English · KVS PGT 2022 Q05 The value of m so that the equation 3x2 – 2mx – 4 = 0 and x(x –4m) + 2 = 0 may have a common root is: English · OAVS TGT 2022 Q06 If the equation x2 + ax + b = 0 has roots α and β, then value of (1 + α + α2) (1 + β + β2) is- English · RPSC PGT 2022