CBSE Class 10 Maths (Basic) 2020 · Paper 430/4/1 · Question 27

Coordinate Geometry 3 marks Medium

Seema has a

10

\times

10

m kitchen garden attached to her kitchen. She divides it into a

10 \times 10

grid and wants to grow some vegetables and herbs used in the kitchen. She puts some soil and manure in that and sows a green chilly plant at

A

, a coriander plant at

B

and a tomato plant at

C

. Her friend Kusum visited the garden and praised the plants grown there. She pointed out that they seem to be in a straight line. See the below diagram carefully and answer the following questions :

Positions of plants A, B and C on the 10 × 10 grid

(i)Write the coordinates of the points $A$ , $B$ and $C$ taking the $10 \times 10$ grid as coordinate axes.
(ii)By distance formula or some other formula, check whether the points are collinear.

Answer

(i)

A (2, 2)

B (5, 4)

C (7, 6)

. (ii)

A B + B C = 13 + 22 \approx 6.43 \neq = 41 = A C

(area of

△ A B C = 1 \neq = 0

), so

A

B

C

are **not** collinear.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2020 · Paper 430/4/1, Question 27 — all 40 questions with answers →

CBSE Class 10 Maths (Basic) 2020 · Paper 430/4/1 · Question 27

Answer

From the board paper

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