Question:medium
$p$ points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is
$p$ points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is
Show Hint
Max triangles = Total $C_3$ - (Collinear $C_3$ on each line).
Updated On: Apr 10, 2026
- $p^{3}+3p^{2}$
- $\frac{1}{2}(p^{3}+p)$
- $\frac{p^{2}}{2}(5p-3)$
- $p^{2}(4p-3)$
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Elasticity
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is Elasticity.
Reason (R) : The restoring force depends upon the bonded inter atomic and inter molecular force of solid.
In the light of the above statements, choose the correct answer from the options given below :- JEE Main - 2024
- Physics
- Elasticity
- With rise in temperature, the Young's modulus of elasticity
- JEE Main - 2024
- Physics
- Elasticity
- The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is :
- JEE Main - 2024
- Physics
- Elasticity
- A wire of cross-sectional area $A$, modulus of elasticity $2 \times 10^{11} \, \text{Nm}^{-2}$, and length $2 \, \text{m}$ is stretched between two vertical rigid supports.
When a mass of $2 \, \text{kg}$ is suspended at the middle, it sags lower from its original position making angle $\theta = \frac{1}{100}$ radian on the points of support.
The value of $A$ is ____ $\times 10^{-4} \, \text{m}^2$ (consider $x \ll l$).
(Given: $g = 10 \, \text{m/s}^2$)
- JEE Main - 2024
- Physics
- Elasticity
- Want to practice more? Try solving extra ecology questions todayView All Questions