Saheen Mumbai
यदि समझ ना आए तो व्हाट्सएप्प कॉल कर लेना।
Here are the solutions of the above questions.
Q.5 X-axis and line x = –4 are parallel lines. What is the distance between them?
If the question is "Y-axis and line x = 4 are parallel lines. What is the distance between them?" then the answer is as follows.
x = −4 is the equation of the line parallel to the Y-axis at a distance of 4 units and to the left of Y-axis.
Thus, the distance between them is 4 units.
OR
If the question is "X-axis and line y = 4 are parallel lines. What is the distance between them?" then the answer is as follows.
y = −4 is the equation of the line parallel to the X-axis at a distance of 4 units and below the X-axis.
Thus, the distance between them is 4 units.
Q. 6. Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis ?
(i) x = 3
(ii) y - 2 = 0
(iii) x + 6 = 0
(iv) y = - 5
Sol.
(1) x = 3
A (3,0)
It is parallel to y-axis.
(ii) y = 2;
B (0, 2)
It is parallel to y me x-axis.
(iii) x + 6 = 0 x = - 6
C(-6, 0)
It is parallel to y-axis.
(iv) y = - 5 , D(0, -5),
It is parallel to x-axis.
7. On a graph paper, plot the points A(2, 3) B(6, - 1) and C(0,5) . If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.
Sol.
From the graph,
co-ordinates of the points at which the line intersects the X-axis at D (5, 0).
co-ordinates of the points at which the line intersects the Y-axis at C(0, 5).
Q. Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.
x + 4 = 0
y - 1 = 0
2x+3 = 0,
3y - 15 = 0
Sol.
x + 4 = 0 ⇒ x = −4
x = −4 is the equation of the line parallel to Y-axis at a distance of 4 units from it to its left.
y − 1 = 0 ⇒ y = 1
y = 1 is the equation of the line parallel to X-axis at a distance of 1 unit and above the X-axis.
2x + 3 = 0 ⇒ x = 3/2
x = 3/2 is the equation of the line parallel to Y-axis at a distance of units from it to its left.
3y − 15 = 0 ⇒ y = 5
y = 5 is the equation of the line parallel to X-axis at a distance of 5 units and above the X-axis.
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