City school is organizing Annual sports events in a rectangular shaped ground ABCD The tracks are being marked with a gap of I m each in the form of straight lines. 120 flower pots are placed with a distance of 1 m each along AD. Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag. Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag.
(iii) - 2
3
a) b)
c) d) e)
The distance between the two flags is
(i) 2 √73 (ii) 3 √73 (iii) √273 (iv) √73
If Reena has to post the flag exactly halfway between the line segment joining the two flags, the coordinates where she should post her flag are
a)
b) c)
A tangent line to a circle is a line that intersects the circle at exactly one point. (It appears to brush the edge of a circle). A point of tangency is the point where a tangent line intersects with a circle. Common external tangents do not intersect the segment that has its endpoints on the centers of the two circles. Common internal tangents intersect the segment that has its endpoints on the centers of the two circles.The dotted line represents the line segment that has its endpoints on the centres of the sun and the moon.
The drawing above shows how the sun, moon, and earth are aligned for a solar eclipse. Identify the tangents lines which partition an area on the earth that experiences a total solar eclipse.
(i) EFand DE (ii) GH and HI (iii) EF andHI (iv) DH and GE
From the above drawing, identify the common external tangents between the sun and the moon. (i)HI and EF (ii) DH and GE (iii) EF and DE (iv) DE and GH
From the above drawing, identify the common internal tangents between the sun and the moon.
(i) (2,40) (ii) (2,30)
The coordinates where Shruti posts her flag are (i) (2,40) (ii) (40,2)
The coordinates where Saanvi posts her flag are (i) (3,40) (ii)(24,8)
Distance of Shruti from the line AB: (i)40 units (ii)20 units
19. Case Study based-3
(iii) (5,32) (iii) (2,30)
(iii) (5,32) (iii) 30 units
Answers
Given : The tracks are being marked with a gap of I m each in the form of straight lines.
. 120 flower pots are placed with a distance of 1 m each along AD.
Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag
Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag
To Find : The distance between the two flags is
(i) 2 √73 (ii) 3 √73 (iii) √273 (iv) √73
(ii) If Reena, another student of the school has to post the flag exactly halfway between the line segment joining the two flags, the coordinates where she should post her flag are-
(iii)The coordinates where Shruti posts her flag are
(iv) The coordinates where Saanvi posts her flag are
Solution:
Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag
=> (1/3) 120 = 40 and 2 nd line
Hence The coordinates where Shruti posts her flag are ( 2 , 40)
Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag
=> (1/5) 120 = 24 and 8th line
Hence The coordinates where Saanvi posts her flag are (8 , 24)
Distance between ( 2 , 40) and (8 , 24)
= √(8 - 2)² + (40 - 24)²
= √6² + 16²
= 2√3² + 8²
= 2√73
flag exactly halfway between the line segment joining the two flags
( 2 , 40) and (8 , 24)
= ( 2 + 8)/2 , ( 40 + 24)/2
= 5 , 32
Learn More:
Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).
brainly.in/question/4563388
If P (-1,1) is the midpoint of the line segment joining A(-3,b) and B (1 ...
https://brainly.in/question/30736892
Given :
The tracks are being marked with a gap of I m each in the form of straight lines.
. 120 flower pots are placed with a distance of 1 m each along AD.
Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag
Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag
To Find : The distance between the two flags is
(i) 2 √73 (ii) 3 √73 (iii) √273 (iv) √73
(ii) If Reena, another student of the school has to post the flag exactly halfway between the line segment joining the two flags, the coordinates where she should post her flag are-
(iii)The coordinates where Shruti posts her flag are
(iv) The coordinates where Saanvi posts her flag are
Solution:
Shruti runs 1/ 3 rd of the distance in the second line along AD and posts her flag
=> (1/3) 120 = 40 and 2 nd line
Hence The coordinates where Shruti posts her flag are ( 2 , 40)
Saanvi runs 1/ 5 th of the distance AD in the eighth line and posts her flag
=> (1/5) 120 = 24 and 8th line
Hence The coordinates where Saanvi posts her flag are (8 , 24)
Distance between ( 2 , 40) and (8 , 24)
= √(8 - 2)² + (40 - 24)²
= √6² + 16²
= 2√3² + 8²
= 2√73
flag exactly halfway between the line segment joining the two flags
( 2 , 40) and (8 , 24)
= ( 2 + 8)/2 , ( 40 + 24)/2
= 5 , 32
Learn More:
Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).
brainly.in/question/4563388
If P (-1,1) is the midpoint of the line segment joining A(-3,b) and B (1 ...
https://brainly.in/question/30736892