Math Chapter Wise question with answer

Q01 The line 2x + y = 3 cuts the ellipse 4x2 +y2 = 5 at P and Q. If θ be the angle between normal's at these points, th... English · UKPSC GIC 2018 Q02 If the straight line 4ax+3 by=12c be a normal to the ellipse 2 2 2 y x 1 a b = + = + then English · PGT 2003 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 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 Q06 The equations of tangents to the ellipse 3x2 + 4y2 = 12 which are parallel to the line y + 2x = 4 are English · UP TGT 2021