Question:
If the points with coordinates (-5, 0), (5p2, 10p) and (5q2, 10q) are collinear, then what is the value of pq, where p ≠ q?
If the points with coordinates (-5, 0), (5p2, 10p) and (5q2, 10q) are collinear, then what is the value of pq, where p ≠ q?
Options:
- 2
- -1
- -2
- 1
- 2
- -1
- -2
- 1
Correct Answer: d)
Explanation:
1 Let points A(—5,0), B (5p%,10p) and C (54%, 10g). Points A, B and C are collinear, then
‘ Slope of AB = Slope of BC
10p—0 _ 10g—10p
‘ = Bpiis sg _op
2p ep) 1
1 = PH gp?
! =pg+p* =p’ +1
1 Spg=1
H 61. H
(c) 30°
‘
1 Let points A(—5,0), B (5p%,10p) and C (54%, 10g). Points A, B and C are collinear, then
‘ Slope of AB = Slope of BC
10p—0 _ 10g—10p
‘ = Bpiis sg _op
2p ep) 1
1 = PH gp?
! =pg+p* =p’ +1
1 Spg=1
H 61. H
(c) 30°
‘