Class X students of a secondary school in Kerala have been allotted arectangular plot of a land for gardening activity. Saplings of coconut areplanted on the boundary at a distance of 1m from each other. There is atriangular grassy lawn in the plot as shown in the fig. The students are to sowseeds of flowering plants on the remaining area of the plot.Considering A as origin, answer question 1 to41. Find the distance PR*1 pointa) √5b) √2c)5d)22. Find the distance QR*1 pointa) √5b) 3√2c)2d)63. Find midpoint of QR*1 pointa)(4.5,3.5)b)(9,6)c)(2 ,3)d)(5,6)4. Find a point on PQ which divides it in the ratio 1:3*1 pointa)(4,3)b)(9,6)c)(13/4 ,3)d) ( 15/4,5)
Question
Class X students of a secondary school in Kerala have been allotted arectangular plot of a land for gardening activity. Saplings of coconut areplanted on the boundary at a distance of 1m from each other. There is atriangular grassy lawn in the plot as shown in the fig. The students are to sowseeds of flowering plants on the remaining area of the plot.Considering A as origin, answer question 1 to41. Find the distance PR1 pointa) √5b) √2c)5d)22. Find the distance QR1 pointa) √5b) 3√2c)2d)63. Find midpoint of QR1 pointa)(4.5,3.5)b)(9,6)c)(2 ,3)d)(5,6)4. Find a point on PQ which divides it in the ratio 1:31 pointa)(4,3)b)(9,6)c)(13/4 ,3)d) ( 15/4,5)
Solution
The question seems to be missing the diagram or the coordinates of the points P, Q, and R. However, I can explain how to solve these types of problems.
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To find the distance between two points in a plane, you can use the distance formula derived from the Pythagorean theorem: √[(x₂ - x₁)² + (y₂ - y₁)²]. You would need the coordinates of points P and R to calculate PR.
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Similarly, you would use the same formula to find the distance QR, using the coordinates of points Q and R.
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To find the midpoint of a line segment (in this case QR), you would use the midpoint formula: [(x₁ + x₂)/2 , (y₁ + y₂)/2]. This gives you the coordinates of the point exactly in the middle of Q and R.
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To find a point that divides a line segment in a certain ratio (in this case 1:3 on line PQ), you would use the section formula: [(mx₂ + nx₁)/(m+n) , (my₂ + ny₁)/(m+n)]. Here, m and n are the ratios (1 and 3), and (x₁, y₁) and (x₂, y₂) are the coordinates of points P and Q.
Without the specific coordinates or a diagram, I'm unable to provide the exact answers.
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