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प्रश्न
Read the following passage:
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Use of mobile screen for long hours makes your eye sight weak and give you headaches. Children who are addicted to play "PUBG" can get easily stressed out. To raise social awareness about ill effects of playing PUBG, a school decided to start 'BAN PUBG' campaign, in which students are asked to prepare campaign board in the shape of a rectangle: One such campaign board made by class X student of the school is shown in the figure.
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Based on the above information, answer the following questions:
- Find the coordinates of the point of intersection of diagonals AC and BD.
- Find the length of the diagonal AC.
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- Find the area of the campaign Board ABCD.
OR - Find the ratio of the length of side AB to the length of the diagonal AC.
- Find the area of the campaign Board ABCD.
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उत्तर
We have, A(1, 1), B(7, 1), (7, 5), D(1, 5)
From these coordinates it is clear that the board is in the shape of rectangle
- Point of intersection of diagonals is their midpoint
So, `[((1 + 7))/2, ((1 + 5))/2]` = (4, 3) - Length of diagonal AC
AC = `sqrt((7 - 1)(7 - 1) + (5 - 1)(5 - 1))= sqrt(52)` units -
- Area of campaign board
= 6 × 4
= 24 units square
OR - Ratio of lengths = `("AB")/("AC")`
= `6/sqrt(52)`
= `6 : sqrt(52)`
- Area of campaign board
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Read the following passage:
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Alia and Shagun are friends living on the same street in Patel Nagar. Shagun's house is at the intersection of one street with another street on which there is a library. They both study in the same school and that is not far from Shagun's house. Suppose the school is situated at the point O, i.e., the origin, Alia's house is at A. Shagun's house is at B and library is at C. |
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[or]
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