### Mathematics Lab Manual Class 10

Mathematics Lab Manual Class X lab activities for class 10 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers.

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**First of all find the limits on the x-axis or on the y-axis.****If limit is on the x-axis, then find the value of y in terms of x.****If limit is on the y-axis, then find the value of x in terms of y.****Find the area under the curve by integrating the given function in the respective limits.****We always take the absolute value of area. It means that area is always taken positive.**

\[\int \sqrt{a^{2}-x^{2}}dx=\frac{x}{2}\sqrt{a^{2}-x^{2}}+\frac{a^{2}}{2}sin^{-1}\frac{x}{a}\]

Some important graphs used in this chapter are as follows

Graph of the parabola x^{2} = 4ay is symmetric about y-axis as shown below.

Graph of the parabola y^{2} = 4ay is symmetric about x-axis as shown below.

Explanation of the topic by taking some examples

From equation (2) \[y=\frac{-2x+21}{3}\]

From equation (3) \[y=\frac{x+9}{5}\]

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