Math Chapter Wise question with answer

Q01 A system of equations for the line of intersection of the planes 4x + 4y – 5z = 12 and 8x + 12y – 13z = 32 is: English · UP PCS (Pre) 1998 Q02 Find the length of the arc of the circular helix with vector equations r (t) = ˆ ˆ ˆ Costi +sintj+ tk from (1,0,0)... English · JSSC PGT 2018 Q03 The angle between the lines whose direction cosines satisfy the equations l + m + n = 0 and 2lm + 2nl – mn = 0 is – English · UP PGT 2021 UPPCS (Pre) 2002 Q04 The equations of the straight line through (1,2,3) and perpendicular to the plane x 2y 5z 9 0 are– English · UP PCS (Pre) 1995 Q05 The shortest distance between the lines 1 x +1 y + 2 z +1 L: = 3 1 2 and 2 x - 2 y + 2 z - 3 L: = 1 2 3 is: English · EMRS PGT-2023 Q06 The angle between the lines 2x = 3y = -z and 6x = -y = -4z is: English · EMRS PGT-2023