List of top Mathematics Questions on Section Formula asked in MHT CET

If the centroid of a tetrahedron \(OABC\) is \((1,2,-1)\), where O is the origin, \(A(a,2,3),B(1,b,2),C(2,1,c)\) are the other vertices, then the distance of the point \(P(a,b,c)\) from the origin is...

If \(7\hat{j}+10\hat{k},-\hat{i}+6\hat{j}+6\hat{k}\) and \(-4\hat{i}+9\hat{j}+6\hat{k}\) are the position vectors of the vertices A, B and C repectively of \(△ABC\). Then the position vector of the point where the bisector of the angle A meets side BC is

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 \(BC\).

P divides AC in 3:4 and Q divides BC in 4:3. Then M divides AQ in the ratio

P divides AC in 3:4 and Q divides BC in 4:3. Then M divides AQ in the ratio

If $3\hat{j}$, $4\hat{k}$ and $3\hat{j} + 4\hat{k}$ are the position vectors of the vertices $A, B, C$ respectively of $\Delta ABC$, then the position vector of the point in which the bisector of $\angle A$ meets $BC$ is

The vertices of triangle ABC are $A \equiv (3,0,0) ; B \equiv (0,0,4) ; C \equiv (0,5,4)$. Find the position vector of the point in which the bisector of angle A meets BC is