JEE Advanced questions
3844 published questions with worked solutions.
- Three vertices of a tetrahedron are (0, 0, 0), (6, -5, -1) and (-4, 1, 3). If the centroid of the tetrahedron be (1, -2, 5) then...
- The points A(1, 2, -1), B(2, 5, -2), C(4, 4, -3) and D(3, 1, -2) are
- ABC is a triangle where A = (2, 3, 5), B = (-1, 3, 2) and C = ( , 5, ). If the median through A is equally inclined with the axes...
- The volume of the tetrahedron whose vertices are (0, 1, 2), (4, 3, 6), (2, 3, 2) and (3, 0, 1) is (in unit^3)
- If (1, -1, 0), (-2, 1, 8) and (-1, 2, 7) are three consecutive vertices of a parallelogram then the fourth vertex is
- Let P_r(x_r, y_r, z_r); r = 1, 2, 3; be three points where x_1, x_2, x_3; y_1, y_2, y_3 and z_1, z_2, z_3 are each in GP with the...
- A point Q at a distance 3 from the point P(1, 1, 1) lying on the line joining the points A(0, -1, 3) and P, has the coodinates
- If A = (2, -3, 7), B = (-1, 4, -5) and P is a point on the line AB such that AP : BP = 3 : 2 then P has the coordinates
- If the direction ratios of a line are 1 + , 1 - , 2, and it makes an angle of 60^ with the y-axis then is
- The direction cosines of a line whose equations are x-1 2 = y+3 4 = z-2 -3 are
- The equations of the line passing through the point (1,2,3) having the direction ratios 3,2,1 are
- The equations of the line passing through the points (-2,1,0) and (3,4,-1) are
- The coordinates of a point on the line x-1 2 = y-2 3 = z 3 at a distance 1 unit from the point (-1,-1,- 3) are
- The equation of the locus of the point (1+ r4, -1+ r3, 2 ), where r R, is given by
- The lines x+3 -2 = y 1 = z-4 3 and x = y-1 +1 = z +2 are perpendicular to each other. Then is equal to
- If the lines x+2 4 +1 = y-1 4 = z -18 and x -3 = y+1 5 -3 = z-1 6 are parallel to each other then the value of the pair ( , ) is
- The angle between the lines x+2 1 = y+3 -2 = z-4 1 and x-1 -1 = y 1 = z 0 is
- If ' , ' , ' are not all equal, the point of intersection of the lines x- ' = y- ' = z- ' and x- ' = y- ' = z- ' is
- The equation of the straight line passing through the origin and perpendicular to the lines x+1 -3 = y-2 2 = z 1 and x-1 1 = y -3...
- The shortest distance between the line x-3 3 = y 0 = z -4 and the y-axis is