Question:
Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?
Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?
Updated On: Oct 4, 2024
- 495
- 550
- 1045
- 2475
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
A triangle can be formed by taking any two points of a straight line and third point on the second straight line
\(\rightarrow \)Number of ways =\((C\frac{10}{2}\times 11)+(C\frac{11}{2}\times 10)\)
\(\rightarrow 495+550=1045\)
The correct answer is (C) : 1045
Was this answer helpful?
0
0
Top Questions on Triangles
- Sides $AB$ and $BC$ and median $AD$ of a $△ABC$ are respectively proportional to sides $PQ$ and $PR$ and median $PM$ of $△PQR$. Show that $△ABC ∼ △PQR$.
- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
- \(D\) is a point on the side \(BC\) of \(\triangle ABC\) such that \(\angle ADC = \angle BAC\). Show that:
\(AC^2 = BC \times DC\)
- Sides $AB$ and $BC$ and median $AD$ of a $△ABC$ are respectively proportional to sides $PQ$ and $PR$ and median $PM$ of $△PQR$. Show that $△ABC ∼ △PQR$.
- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
View More Questions
Questions Asked in MAT exam
- In the following sentence, a part of the sentence is underlined. Beneath each sentence four different ways of phrasing the underlined part are indicated. Choose the best alternative among the four options.
There \(\underline {\text{have}\ \text{been}\ \text{heavy}\ \text{rainfall}}\) yesterday- MAT - 2018
- Sentence Correction
- Who among the following cannot be impeached?
- MAT - 2018
- Politics and Government
- Who is leading the LTTE delegation for the peace process with Sri Lanka?
- MAT - 2018
- International Organizations
- Who was the first UN Secretary General?
- MAT - 2018
- Politics and Government
- Which of the following sources yields the maximum revenue to the Union Government?
- MAT - 2018
- Politics and Government
View More Questions