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- 1. Multiple ChoiceFind the co-ordinates of the point which divides the line segment joining the points (6,3) and (-4,5) in the ratio 3:2 internally.(0 , 5)(1 , 21/5)(0 , 21/5)(1 , 5)
- 2. Multiple ChoiceIn what ratio does the y-axis divide the line segment joining the point P (-4,5) and Q(3,-7)?3:54:32:15:3
- 3. Multiple ChoiceFind the distance between (-12, 1) and (12, -1).24.0524.0624.0724.08
- 4. Multiple Choice
How is the distance formula correctly written:
d =
- 5. Multiple Choice
A(3,1) B(-2,-1) written correctly is:
- 6. Multiple Choice
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
(0, -1)
(6, 1)
(1, 6)
(0, 1)
- 7. Fill in the Blank
The x coordinate of a point P is twice its y- coordinate. If P is equidistant from Q(2,-5) and R(-3,6), find the x coordinate of P.
- 8. Fill in the Blank
Find the ratio in which y-axis divides the line segment joining the points A(5,-6) and B(-1,-4).
- 9. Open Ended
Show that 3 is an irrational number.
Write all the steps. The steps will be checked and scored later.
- 10. Multiple Choice
Find whether the following pair of linear equations is consistent or inconsistent :
consistent
inconsistent
- 11. Open Ended
Explain why the above is a composite number.
Write the explanation. The question will be marked later.
- 12. Multiple Choice
Solve the above
x=2, y=-1
x=-1, y=2
x=2, y=2
x=-1, y=-1
- 13. Fill in the Blank
A boat goes 30km upstream and 44 km downstream in 10 hours. The same boat goes 40km upstream and 55km downstream in 13 hours. what is the speed of boat?
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