List of top Mathematics Questions on Section Formula

The coordinates of the points of trisection of the line segment joining the points $ (3, 2) $ and $ (6, -4) $ are

Let $O$ be the origin. Let $\overrightarrow{OA} = \vec{a}$ and $\overrightarrow{OB} = \vec{b}$ be the position vectors of the points $A$ and $B$ respectively. A point $P$ divides the line segment $AB$ internally in the ratio $m:n$. Then $\overrightarrow{AP}$ is equal to:

If \(A, B, C\) are vertices of a triangle with position vectors \(\vec a, \vec b, \vec c\), find the position vector of the point \(D\) where the angle bisector from vertex \(A\) meets \(BC\).

Points \(P(-3,2), Q(9,10)\) and \(R(\alpha, 4)\) lie on a circle \(C\) with \(P R\) as its diameter. The tangents to \(C\) at the points \(Q\) and \(R\) intersect at the point \(S\). If $S$ lies on the line \(2 x-k y-1\), then \(k\) is equal to_____

The equations of the sides $AB , BC$ and $CA$ of a triangle $ABC$ are : $2 x+y=0, x+p y=21 a,(a \neq 0)$ and $x-y=3$ respectively Let $P (2, a )$ be the centroid of $\triangle ABC$ Then $( BC )^2$ is equal to

The coordinate of the point dividing internally the line joining the points \( (4,-2) \) and \( (8,6) \) in the ratio \( 7:5 \) is

The coordinate of the point dividing internally the line joining the points \( (4,-2) \) and \( (8,6) \) in the ratio \( 7:5 \) is

The coordinate of the point dividing internally the line joining the points \( (4,-2) \) and \( (8,6) \) in the ratio \( 7:5 \) is

The ratio by which the line \( 2x + 5y - 7 = 0 \) divides the straight line joining the points \( (-4, 7) \) and \( (6, -5) \) is:

The ratio by which the line \( 2x + 5y - 7 = 0 \) divides the straight line joining the points \( (-4, 7) \) and \( (6, -5) \) is:

The ratio by which the line \( 2x + 5y - 7 = 0 \) divides the straight line joining the points \( (-4, 7) \) and \( (6, -5) \) is: