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Match correctly {:((a),"centroid",(1),...

Match correctly
`{:((a),"centroid",(1),"medians of a"Delta),((b),"incentre",(2),"centre of the circumcircle point of intersection"),(,,,"of the perp. bisectors of the sides of a"Delta),((c),"Circumcentre",(3),"point of intersection of the medians of a"Delta),((d),"concurrent",(4),"centre of the incircle point of intersection of the"),(,,,"angle bisectors of a"Delta):}`

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The correct Answer is:
To solve the problem of matching the terms related to a triangle, we will analyze each term and its definition step by step. ### Step 1: Identify the definition of Centroid The centroid of a triangle is defined as the point of intersection of the medians of the triangle. **Match:** - (a) "centroid" matches with (3) "point of intersection of the medians of a triangle". ### Step 2: Identify the definition of Incenter The incenter is defined as the point of intersection of the angle bisectors of a triangle. **Match:** - (b) "incentre" matches with (4) "centre of the incircle point of intersection of the angle bisectors of a triangle". ### Step 3: Identify the definition of Circumcenter The circumcenter is defined as the point of intersection of the perpendicular bisectors of the sides of a triangle. **Match:** - (c) "Circumcentre" matches with (2) "centre of the circumcircle point of intersection of the perpendicular bisectors of the sides of a triangle". ### Step 4: Identify the definition of Concurrent The term "concurrent" refers to the point where the medians of a triangle intersect. **Match:** - (d) "concurrent" matches with (1) "point of intersection of the medians of a triangle". ### Final Matches: - (a) "centroid" → (3) "point of intersection of the medians of a triangle" - (b) "incentre" → (4) "centre of the incircle point of intersection of the angle bisectors of a triangle" - (c) "Circumcentre" → (2) "centre of the circumcircle point of intersection of the perpendicular bisectors of the sides of a triangle" - (d) "concurrent" → (1) "point of intersection of the medians of a triangle"
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S CHAND IIT JEE FOUNDATION-CIRCLES -UNIT TEST
  1. Which of the following is equidistant from the vertices of a triangle ...

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  2. The circumcentre in a right triangle is :

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  3. P is the incentre of Delta ABC. Which of the following statements is t...

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  4. The incentre of a triangle coincides with the circumcentre, orthocentr...

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  5. Find x

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  6. Calculate the size of angle p.

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  7. Calculate the size of the labelled angles

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  8. Find pairs of parallel lines

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  9. In the figure, AB||CD then

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  10. How many sides does a polygon have if the sum of its interior angles i...

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  11. Find x

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  12. Tick against the correct alternative. The orthocentre of a triangle ...

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  13. Match correctly {:((a),"centroid",(1),"medians of a"Delta),((b),"inc...

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  14. The lengths of the sides of a Delta ABC are given below. In which of t...

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  15. ABCD is a rhombus and AED is an equilateral triangle. E and C lie on o...

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  16. Solve the system of linear equations for x and y: x+y=15 3x-2y=-5

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  17. A regular polygon is inscribed in a circle. If a side subtends an angl...

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  18. Answer True or False. ACB is an arc of a circle with centre O and angl...

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  19. Consider the following statements 1. The bisectors of all the four a...

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  20. If the sum of the diagonals of a rhombus is 12 cm, and its perimeter i...

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