4 Marks Questions

Question 14 Marks

Points $A(5, 3), B(-2, 3)$ and $D(5, -4)$ are three vertices of a square $ABCD.$ Plot these points on a graph paper and hence find the coordinates of the vertex $C.$

Answer

The graph obtained by plotting the points $A, B$ and $C$ and $D$ is given below. Take a point $C$ on the graph such that $ABCD$ is a square i.e., all sides $AB, BC, CD,$ and $AD$ are equal. So, abscissa of $C$ should be equal to abscissa of $B$ i.e., $-2$ and ordinate of $C$ should be equal to ordinate of $D$ i.e., $-4.$ Hence, the coordinates of $C$ are $(-2, -4).$

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Question 24 Marks

In which quadrant or on which axis each of the following points lie? $(-3, 5), (4, -1), (2, 0), (2, 2), (-3, -6)$

Answer

In point $(-3, 5), x-$coordinate is negative and $y-$coordinate is positive, so it lies in $II$ quadrant. In point $(4, -1), x-$coordinate is positive and $y-$coordinate is negative, so it lies in $IV$ quadrant. In point $(2, 0), x-$coordinate is positive and $y-$coordinate is zero, so it lies on $X-$axis. In point $(2, 2), x-$coordinate and y-coordinate both are positive, so its lies in $I$ quadrant. In point $(-3, -6), x-$coordinate and y-coordinate both are negative, so its lies in III quadrant.

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MATHS 4 Marks Questions

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