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Maths 2 Marks Questions

Coordinate Geometry · Jharkhand Board (JAC) STD 9 (Jharkhand - English Medium). 3 questions.

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2 Marks Questions

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Question 12 Marks
Which of the following points lie on y-axis? $A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), S(0, 5), H(7, 0), I(3, 3).$
Answer
We know that if a point lies on the $y-$axis, its abscissa is $0$ and its ordinate is the $y-$value and its coordinate are $(0, y).$ Hence, $C(0, 1), E(0, -1), G(0, 5)$ are the points which lie on $y-$axis.
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Question 22 Marks
$LM$ is a line parallel to the $y-$axis at a distance of $3$ units:

$i.$ What are the coordinates of the points $P, R$ and $Q?$
$ii.$ What is the difference between the abscissa of the points $L$ and $M?$
Answer
Given $L M$ is a line parallel to the $Y-$axis and its perpendicular distance from $Y-$axis is $3$ units.
$i.$ Coordinate of point $P=(3,2) [$Since, its perpendicular distance from $X-$axis is $2]$
Coordinate of point $Q =(3,-1) [$Since, its perpendicular distance from $X -$axis is $1$ in negative direction of $Y -$axis$].$
Coordinate of point $R=(3,0) [$since its lies on $X -$axis, so its $y$ coordinate is zero$].$
$ii.$  Abscissa of point $L=3$, abscissa of point $M=3$
Difference between the abscissa of the points $L$ and $M=3-3=0$
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Question 32 Marks
Plot the points$ (x, y)$ given by the following table:
$x$
$2$
$4$
$-3$
$-2$
$3$
$0$
$y$
$4$
$2$
$0$
$5$
$-3$
$0$
Answer
On plotting the given points on the graph, we get the points $P(2, 4), Q(4, 2), R(-3, 0), S(-2, 5), T(3, -3)$and $O(0, 0).$
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