Q8 of 53 Page 121

Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k) .

two lines are said to be parallel if their slopes are equal

If PQ||RS then their slopes must be equal


Slope of PQ =


Slope pf RS =


As their slopes are equal, we get



Simplifying


k-1 = 4


k = 5


More from this chapter

All 53 →
6

Find k, if R(1, -1), S (-2, k) and slope of line RS is -2.

 7

Find k, if B(k, -5), C (1, 2) and slope of the line is 7.

 1

Fill in the blanks using correct alternatives.

Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be ........ .

 1

Fill in the blanks using correct alternatives.

Out of the following, point ........ lies to the right of the origin on X- axis.