CO-ORDINATE GEOMETRY ( Part -II)
1.
Find the co-ordinates of the mid-point of the
line joining the points (4, 7) and (6, 9)
ibMdU (4,7), (6,9) nMU imlwaux vwly ryKw KMf dy
m`D ibMdU pqw kro[
2.
Find the co-ordinates of the point which divides
internally the line joining the point (6, – 9) and (4, 6) in the ratio 3 : 4.
aus ibMdU dy inrdyS AMk pqw kro jo A(6,-9) qoN B (4, 6) nMU imlwaux
vwly ryKw KMf nMU AMdrUnI 3:4 iv`c vMfdw
hY [
3.
Find the co-ordinates of the points which divide
internally, the line joining (1, – 3) and (–3, 9) in the ratio 1 : 3.
aus ibMdU dy inrdyS AMk pqw kro jo A(1,-3) qoN B (-3, 9) nMU imlwaux
vwly ryKw KMf nMU AMdrUnI 1:3 iv`c vMfdw
hY [
4.
what ratio does the point (– 6, 5) divide the join of (– 3, – 1)
and (– 8, 9).
(-3,-1) Aqy (-8, 9) nMU imlwaux vwly ryKw KMf nMU ibMdU (-6 ,5) iks
AnUpwq iv`c vMfdw hY [
5.
what ratio does point (1, 12) divide the join of (5, 6) and
(7, 3)?
(7,3) Aqy (5, 6) nMU imlwaux vwly ryKw KMf nMU ibMdU (1 ,12) iks
AnUpwq iv`c vMfdw hY [
6.
what ratio does x-axis divide the join of (2, –
4) and (– 3, 6)?
ibMdUAW (2,-4) Aqy (-3,6) nMU imlwaux vwly ryKw KMf nMU X
- Durw iks Anupwq iv`c vMfdw hY ?
7.
what ratio does y-axis divide the join of (7, 3)
and (– 5, – 12)?
ibMdUAW (7,3) Aqy (-5,-12) nMU imlwaux vwly ryKw KMf nMU Y
- Durw iks Anupwq iv`c vMfdw hY ?
8.
The coordinates of the centroid of a triangle
are (1, 3) and two of its vertices are (– 7, 6) and (8, 5) . Find the third
vertex of the triangle.
iqRBuj
dw kyNdrk (1, 3) Aqy ausdy do isKr
(– 7, 6), (8, 5) hox qW qIsrw
isKr pqw kro [
9.
Find the centroid of the triangle, whose
vertices are: (– 4, 6), (2, – 2) and (2, 5).
iqRBuj
dy kyNdrk dy inrdyS AMk pqw kro jykr ausdy isKr (– 4, 6), (2, – 2) and
(2, 5) hox [
10. Find
the third vertex of a triangle, if two of its vertices are at (– 3, 1) and (0,
– 2) and the centroid is at the origin.
jykr
iqRBuj dw kyNdrk (0,0) hovy Aqy
ausdy do isKr (– 7, 6), (8, 5) hox
qW qIsrw isKr pqw kro [
11. Find
the lengths of the medians of the triangle whose vertices are (1, – 1), (0, 4)
and (– 5, 3).
aus
iqRBuj dIAW m`iDkwvW dIAW lMbweIAW pqw kro, ijsdy isKr (1-1), (0,4) Aqy (-5,3)
hn [
