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The points A(-4, 0), B(4, 0) and C(0, 3)...

The points A(-4, 0), B(4, 0) and C(0, 3) are the vertices of a triangle, which is

A

isosceles

B

equilateral

C

scalene

D

right angled

Text Solution

Verified by Experts

The correct Answer is:
A
`AB^(2) = (4+4)^(2) + (0-0)^(2) = 8^(2) +0^(2) = 64 +0 = 64 rArr AB = sqrt(64) = 8` units.
`BC^(2) = (0-4)^(2) + (3-0)^(2) = (-4)^(2) + 3^(2) = 16 +9 =25 rArr BC = sqrt(25) = 5` units.
`AC^(2) = (0+4)^(2) + (3-0)^(2) = 4^(2) + 3^(2) = 16 +9 = 25 rArr AC = sqrt(25) = 5` units.
`therefore Delta ABC` is isosceles.
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RS AGGARWAL-COORDINATE GEOMETRY-Multiple Choice Questions (Mcq)
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  4. If A(-6, 7) and B(-1, -5) are two given points then the distance 2AB i...

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

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

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

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

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

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  10. Determine the ratio in which the line 2x + y - 4 = 0 divides the line ...

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  11. If A(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC and AD is...

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  12. If A(-1, 0), B(5, -2) and C(8, 2) are the vertices of a Delta ABC then...

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  13. Two vertices of Delta ABC are A(-1, 4) and B(5, 2) and its centroid is...

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  14. The points A(-4, 0), B(4, 0) and C(0, 3) are the vertices of a triangl...

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  15. The points P(0, 6), Q(-5, 3) and R(3, 1) are the vertices of a triangl...

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  17. If the points A(1,2), B(0,0) and C (a,b) are collinear, then

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  18. The area of a triangle with vertices A(3,0),B(7,0) and C(8,4) is

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  19. If AOBC is a ractangle whose three vertices are A(0,3),O(0,0) and B(5,...

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  20. If the distance between the points (4,\ p) and (1,\ 0) is 5, then p=...

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