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MATHS 4 Marks Questions

Coordinate Geometry · Rajasthan Board (RBSE) STD 9 (Rajasthan - English Medium). 2 questions.

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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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