These ncert book chapter wise questions and answers are very helpful for CBSE board exam. Form the pair of linear equations in the following problems, and find their solutions graphically. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
Find the cost of one pencil and that of one pen. We can clearly see that the intersection point of two lines is 3, 7. We can clearly see that the intersection point of two lines is 3, 5. We have because. Hence, lines have unique solution which means they intersect at one point. We get,. Here which means equations have unique solution. Here because.
We get, , ,. We can see that both of the lines coincide. Hence, there are infinite many solutions. Any point which lies on one line also lies on the other. We can assume any random values for y and can find the corresponding value of x using the above equation. All such points will lie on both lines and there will be infinite number of such points.
Plotting these points on the graph, it is clear that both lines are parallel. So the two lines have no common point. Hence the given equations have no solution and lines are inconsistent. We can clearly see that lines are intersecting at 2, 2 which is the solution. We get. Two lines intersect with each other if.
Two lines are parallel to each other if. Two lines are coincident if. We can see from the graphs that points of intersection of the lines with the x�axis are �1, 0 , 2, 3 and 4, 0. Ncert solution class 10 Maths includes text book solutions from Mathematics Book.
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