Equation of a line

JEE Main Mathematics · 3D Geometry · 9 questions, latest first

• Let a triangle PQR be such that P and Q lie on the line (x+3)/8=(y-4)/2=(z+1)/2 and are at a distance of 6 units from R (1, 2,…20265 April, Shift 2 · Q14
• Let a line L passing through the point P(1,1,1) be perpendicular to the lines (x-4)/4=(y-1)/1=(z-1)/1 and (x-17)/1=(y-71)/1=z/0.…202624 January, Shift 1 · Q23
• If the equation of the line passing through the point (0,-1/2, 0) and perpendicular to the lines r=λ( i+a j+b k) and r=( i- j-6…20257 April, Shift 2 · Q16
• Let a straight line L pass through the point P(2,-1,3) and be perpendicular to the lines (x-1)/2=(y+1)/1=(z-3)/-2 and…202529 January, Shift 2 · Q15
• Let a line pass through two distinct points P(-2,-1,3) and Q, and be parallel to the vector 3 i+2 j+2 k. If the distance of the…202522 January, Shift 2 · Q15
• Let the point, on the line passing through the points P(1,-2,3) and Q(5,-4,7), farther from the origin and at a distance of 9…20244 April, Shift 1 · Q17
• Let P and Q be the points on the line (x+3)/8=(y-4)/2=(z+1)/2 which are at a distance of 6 units from the point R(1,2,3). If the…20241 February, Shift 2 · Q16
• A line passes through A(4,-6,-2) and B(16,-2,4). The point P(a, b, c), where a, b, c are non-negative integers, on the line A B…202431 January, Shift 2 · Q29
• Let the line L pass through the point (0,1,2), intersect the line (x-1)/2=(y-2)/3=(z-3)/4 and be parallel to the plane 2 x+y-3…20236 April, Shift 2 · Q16