CBSE Class 10 Maths (Basic) 2023 · Paper 430/4/1 · Question 36

Coordinate Geometry 4 marks Very hard

Use of mobile screen for long hours makes your eye sight weak and gives 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, with vertices

A (1, 1)

B (7, 1)

C (7, 5)

and

D (1, 5)

. Based on the above information, answer the following questions.

Rectangular campaign board ABCD on coordinate axes.

(i)Find the coordinates of the point of intersection of diagonals $A C$ and $B D$ .[1]
(ii)Find the length of the diagonal $A C$ .[1]
(iii)(a)Find the area of the campaign board $A B C D$ .[2]
(iii)(b)Find the ratio of the length of side $A B$ to the length of the diagonal $A C$ .[2]

Answer

(i)

(4, 3)

(ii)

213

units (iii)(a)

24

sq units (iii)(b)

3 : 13

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2023 · Paper 430/4/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2023 · Paper 430/4/1 · Question 36

Answer

From the board paper

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