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CORE Coordinate Geometry and Transformations - New Indian ...

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5. If three points (0, 0), (3, √3) <strong>and</strong> (3, λ) form an equilateral triangle, then λ is equal to<br />

2<br />

-3<br />

-4<br />

<br />

None of these<br />

6. If (-1, 2), (2,-1) <strong>and</strong> (3, 1) are any three vertices of a parallelogram, then the fourth<br />

vertex is<br />

(2,0)<br />

(-2,0)<br />

(-2,6)<br />

(6,2)<br />

7. If the points (1,2),(-5,6) <strong>and</strong> (a,-2) are collinear, then a =<br />

-3<br />

7<br />

2<br />

-2<br />

8. The ratio in which (4,5) divides the line segment joining (2,3) <strong>and</strong> (7,8) is<br />

-2:3<br />

-3:2<br />

3:2<br />

2:3<br />

9. The ratio in which the x-axis divides the line segment joining the points (3,6) <strong>and</strong><br />

(12,-3) is<br />

2:1<br />

1:2<br />

1:-2<br />

-2:1<br />

79

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