Math Chapter Wise question with answer

Q01 The number of circles that can be drawn touching all the lines x = y + 2, y = x + 3 and 2x + 3y = 4 is: English · EMRS PGT-2023 Q02 The vertex of a parabola is at (−3, 0) and the directrix is the line x+5=0, then its equation is: English · KVS PGT 2022 Q03 The coordinate of the point at which the line 2x – y = 12 is normal to the parabola y2 = 4x, is - English · RPSC PGT 2022 Q04 If the straight lines y = mx and y = m'x be a pair of conjugate diameters of an ellipse 2 2 x y + = 1 a b, then - English · DSSSB PGT 2021 Q05 From the focus of the parabola y2 = 32x, a line of slope 1 is drawn. The equation of the line is English · DSE TGT 2019 Jharkhand TGT-2017 Q06 For what value of m is the line y = mx + 5 tangent to the ellipse represented by 2 2 4x y + = 1 9 16 English · JSSC PGT 2018