Question:
If AM and PN are the altitudes of two similar triangles \(∆ABC\) and \(∆PQR\) respectively and \((AB)^ 2 : (PQ) ^2 = 4 : 9\), then \(AM : PN =\)
If AM and PN are the altitudes of two similar triangles \(∆ABC\) and \(∆PQR\) respectively and \((AB)^ 2 : (PQ) ^2 = 4 : 9\), then \(AM : PN =\)
Updated On: May 24, 2024
- 3 : 2
- 16 : 81
- 4 : 9
- 2 : 3
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D): 2 : 3
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 AP POLYCET exam
- If a sin 45°= b cosec 30°, then the value of \(\frac {a^4}{b^4}\) is
- AP POLYCET - 2024
- Trigonometry
- If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is
- AP POLYCET - 2024
- Slope of a line
- The ratio of the sum and product of the roots of the quadratic equation \(7x^2-12x+18=0\) is
- AP POLYCET - 2024
- Quadratic Equations
- If 25 cm each is the object and image distances due to convex lens, then its focal length is
- AP POLYCET - 2024
- Light - Reflection and Refraction
- The number of degenerate orbitals present in 4d subshell is
- AP POLYCET - 2024
- Structure of atom
View More Questions