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[3 marks sum]

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8 questions · timed · auto-graded

Question 13 Marks
In the given figure, line APB meets the $x$-axis at A and $y$-axis at B . P is the point $(-4,2)$ and $AP : PB =1: 2$. Write down coordinates of A and B.
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Question 23 Marks
If the points $A (6,1), B (8,2), C (9,4)$ and $D (p, 3)$ are the vertices of a parallelogram, taken in order, find the value of $p$.
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Question 33 Marks
Find the ratio in which the $y$-axis divides the line segment joining the points $(5,-6)$ and $(-1,-4)$. Also, find the point of intersection.
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Question 43 Marks
Find the coordinates of the points of trisection (i.e., points dividing into three equal parts) of the line segment joining the points $A (2,-2)$ and $B (-7,4)$
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Question 53 Marks
In what ratio does the point $C \left(\frac{5}{5}, \frac{11}{5}\right)$ divide the line segment joining the points $A (3,5)$ and $B (-3,-2)$ ?
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Question 63 Marks
In what ratio is the line segment joining $P (5,3)$ and $Q (-5,3)$ divided by the $y$-axis? Also find the coordinates of the point of intersection.
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Question 73 Marks
$P (1,-2)$ is a point on the line segment joining $A (3,-6)$ and $B (x, y)$ such that $AP : PB$ is equal to $2: 3$. Find the coordinates of B.
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Question 83 Marks
Find the ratio in which the line segment joining $(-2,5)$ and $(-5,-6)$ is divided by the line $y=-3$. Hence find the point of intersection.
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[3 marks sum] - Mathematics STD 10 Questions - Vidyadip