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The perimeter of the triangle with verti...

The perimeter of the triangle with vertices (0, 4), (0, 0) and (3, 0) is

A

`(7 + sqrt(5))`

B

`5`

C

`10`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
D

AB = 4 units, BC = 3 units.
`AC^(2) = (3-0)^(2) + (0-4)^(2)`
= (9+16) = 25.
`rArr` AC = 5 units.
`therefore ` perimeter = (4+3+5) units
= 12 units.
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RS AGGARWAL-COORDINATE GEOMETRY-Multiple Choice Questions (Mcq)
  1. If R(5, 6) is the midpoint of the line segment AB joining the points A...

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  2. If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ra...

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  3. The perimeter of the triangle with vertices (0, 4), (0, 0) and (3, 0) ...

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  4. If A(1, 3), B(-1, 2), C(2, 5) and D(x, 4) are the vertices of a parall...

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  5. If the points A(x, 2), B(-3, -4) and C(7, -5) are collinear then the v...

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  6. The area of a triangle with vertices A(5, 0), B(8, 0) and C(8, 4) in s...

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  7. The area of Delta ABC with vertices A(a, 0), O(0, 0) and B(0, b) in sq...

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  8. If P((a)/(2), 4) is the midpoint of the line segment joining the poin...

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  9. ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0,...

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  10. The coordinates of the point P dividing the line segment joining the p...

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  11. If the coordinates of one end of a diameter of a circle are (2, 3) an...

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  12. In the given figure P(5, -3) and Q(3, y) are the points of trisection ...

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  13. The midpoint of segment AB is P(0, 4). If the coordinates of B are (-2...

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  14. The point P which divides the line segment joining the points A(2, 5) ...

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  15. If A(-6, 7) and B(-1, -5) are two given points then the distance 2AB i...

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  16. What point on the X-axis is equidistant from (7, 6) and (-3, 4) ?

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  17. The distance of P(3, 4) from the x-axis is

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  18. In what ratio does the x-axis divide the join of A(2, -3) and B(5, 6)?

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  19. In what ratio does the Y-axis divide the join of (-4,2) and (8,3)?

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  20. If P(-1, 1) is the midpoint of the line segment joining A(-3, b) and ...

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