Math Chapter Wise question with answer

Q01 If the plane 2x – y + az = 0 cuts the cone yz + zx + xy = 0 in perpendicular lines, then the value of a is: English · UP PCS (Pre) 2000 Q02 It a tangent plane to the sphere x2 +y2 +z2 =r2 cuts distances a,b,c on the coordinate axes, then: English · PGT 2013 Q03 In a right circular cone, the cross-section made by a plane parallel to the base is a: English · EMRS TGT-2023 Q04 The condition that the cone ax2 + by2 +cz2 + 2ux + 2vy + 2wz + d = 0 may have three mutually perpendicular tangent... English · RPSC PGT 2022 Q05 The semi vertical angle of right circular cone having a set of the three mutually perpendicualr tangent planes is- English · Rajasthan TGT 2013 Q06 If the cone 2x2 +λy2 -5z2 = 0 has three mutually perpendicular tangent planes, then λ is equal to English · UP PCS (Pre) 2008