20.Find co-ordinates of Q which divides PR in the ratio 1 : 2
(13/3 , 4)
( 4 , 13/3 )
( 5 /13 , 11/3)
none of the above
Answers
Step-by-step explanation:
(1) A(2, 3), B(4, 1)
AB=√(2-4)2+(3-1)2=√(-2)2+22=√4+4=2√2
(2) P(–5, 7), Q(–1, 3)
PQ=√(-5-(-1))2+(7-3)2=√(-4)2+42=√16+16=4√2
(3) R(0, –3), S(0, 52)
RS=√(0-0)2+(-3-52)2=√(-112)2=√1214=112
(4) L(5, –8), M(–7, –3)
LM=√(5-(-7))2+(-8-(-3))2=√122+(-5)2=√144+25=√169=13
(5) T(–3, 6), R(9, –10)
TR=√(-3-9)2+(6-(-10))2=√(-12)2+(16)2=√144+256=√400=20
(6) W( –72 , 4), X(11, 4)
WX=√(-72-11)2+(4-4)2=√(-292)2=√8414=292.
Answer:
(1) A(2, 3), B(4, 1)
AB=√(2-4)2+(3-1)2=√(-2)2+22=√4+4=2√2
(2) P(–5, 7), Q(–1, 3)
PQ=√(-5-(-1))2+(7-3)2=√(-4)2+42=√16+16=4√2
(3) R(0, –3), S(0, 52)
RS=√(0-0)2+(-3-52)2=√(-112)2=√1214=112
(4) L(5, –8), M(–7, –3)
LM=√(5-(-7))2+(-8-(-3))2=√122+(-5)2=√144+25=√169=13
(5) T(–3, 6), R(9, –10)
TR=√(-3-9)2+(6-(-10))2=√(-12)2+(16)2=√144+256=√400=20
(6) W( –72 , 4), X(11, 4)
WX=√(-72-11)2+(4-4)2=√(-292)2=√8414=292.