Chapter 28 Straight line in space Exercise Ex. 28.1
Question 1
Solution 1
Question 2
Find the vector equation of the line passing through the points (-1, 0, 2) and (3, 4, 6).Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
.
Question 17
Solution 17
Chapter 28 Straight line in space Exercise Ex. 28.2
Question 1
Solution 1
Question 2
Show that the line through the points (1, -1, 2) and (3, 4, -2) is perpendicular to the line through points (0, 3, 2) and (3, 5, 6).Solution 2
Question 3
Show that the line through the points (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (-1, -2, 1) and (1, 2, 5).Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, -1) and (4, 3, -1).Solution 6
Question 7
Find the equation of a line parallel to x-axis and passing through the origin.Solution 7
Question 8(i)
Solution 8(i)
Question 8(ii)
Solution 8(ii)
Question 8(iii)
Solution 8(iii)
Question 9(i)
Solution 9(i)
Question 9(ii)
Solution 9(ii)
Question 9(iii)
Solution 9(iii)
Question 9(iv)
Solution 9(iv)
Question 9(v)
Solution 9(v)
Question 9(vi)
find the angle between the following pairs of line :
Solution 9(vi)
Question 10(i)
Solution 10(i)
Question 10(ii)
Solution 10(ii)
Question 10(iii)
Solution 10(iii)
Question 10(iv)
find the angle between the pairs of lines with directions ratios proposal to a, b, c and b – c, c – a, a – b.Solution 10(iv)
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Chapter 28 Straight line in space Exercise Ex. 28.3
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6(i)
Solution 6(i)
Question 6(ii)
Solution 6(ii)
Question 6(iii)
Solution 6(iii)
Question 6(iv)
Solution 6(iv)
Question 7
Solution 7
Chapter 28 Straight line in space Exercise Ex. 28.4
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
..Question 4
Solution 4
Question 5
Find the foot of perpendicular from the point (2, 3, 4) to the line . Also find the perpendicular distance from the given point to the line.Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Find the coordinates of the foot of perpendicular drawn from the point A (1, 8, 4) to the line joining the points B (0, -1, 3) and C (2, -3, -1).Solution 14
Chapter 28 Straight line in space Exercise Ex. 28.5
Question 1(i)
Find the shortest distance between the pair of lines whose vector equation are
Solution 1(i)
Question 1(ii)
Find the shortest distance between the pair of lines whose vector equations are:
Solution 1(ii)
Question 1(iii)
Find the shortest distance between the pair of lines whose vector equations are:
Solution 1(iii)
Question 1(iv)
Find the shortest distance between the lines whose vector equations are:
Solution 1(iv)
Question 1(v)
Find the shortest distance between the pair of lines whose vector equations are:
Solution 1(v)
Question 1(vi)
Find the shortest distance between the pair of lines whose vector equations are:
Solution 1(vi)
Question 1(vii)
Solution 1(vii)
Question 1(viii)
Solution 1(viii)
Question 2(i)
Find the shortest distance between the pair of lines whose cartesian equations are:
.Solution 2(i)
Question 2(ii)
Find the shortest distance between the pair of lines whose cartesian equations are:
.Solution 2(ii)
Question 2(iii)
Find the shortest distance between the pair of lines whose cartesian equations are:
.Solution 2(iii)
Question 2(iv)
Find the shortest distance between the pair of lines whose Cartesian equations are:
.Solution 2(iv)
Question 3(i)
Solution 3(i)
Question 3(ii)
Solution 3(ii)
Question 3(iii)
Solution 3(iii)
Question 3(iv)
Solution 3(iv)
Question 4(i)
Solution 4(i)
Question 4(ii)
Solution 4(ii)
Question 5
Solution 5
Question 6
Solution 6
Question 7(i)
Find the shortest distance between the lines
Solution 7(i)
Question 7(ii)
Find the shortest distance between the lines
Solution 7(ii)
Question 7(iii)
Find the shortest distance between the lines
Solution 7(iii)
Question 7(iv)
Find the shortest distance between the lines
Solution 7(iv)
Question 8
Find the distance between the lines l1 and l2 given by
Solution 8