Basic Proportionality Theorem
Statement: If a line is drawn parallel to the one side of the triangle to intersect other two sides of the triangle in di…
Statement: If a line is drawn parallel to the one side of the triangle to intersect other two sides of the triangle in di…
Suppose that $\sqrt{3}$ is a rational number. Then, it can be written in $\frac{p}{q}$ form where integers $p$ and $q$ hav…
Statement: The line segment joining mid-points of two sides of a triangle is parallel to the third side of the triangle an…
Statement: Angle subtended by an arc at the centre is double the angle subtended by it on the remaining part of the circle. …
Given: $\sqrt{3}$ is irrational. To Prove: $5+2\sqrt{3}$ is irrational. Proof: Suppose that $5+2\sqrt{3}$ is a rational nu…
Numbers which have atleast one factor other than $๐$ and the number itself are called composite numbers. Example: $4, 6,…
(i) $f(x)=3x-2$ where $f: \mathbb{R}\rightarrow \mathbb{R}$ # Method 1: Let $x_1, \; x_2$ be any element of $\mathbb{R}$ …
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