TS EAMCET · Maths · Permutation Combination
Let \(l_1\) and \(l_2\) be two lines intersecting at \(P\). If \(A_1, B_1, C_1\) are points on \(l_1\), and \(A_2, B_2, C_2, D_2, E_2\) are points on \(l_2\) and if none of these coincides with \(P\), then the number of triangles formed by these eight points, is :
- A 56
- B 55
- C 46
- D 45
Answer & Solution
Correct Answer
(D) 45
Step-by-step Solution
Detailed explanation
If triangle is formed including point ' \(P\) ' the other points must be one from \(l_1\) and other point from \(l_2\). Number of triangles formed with \(P\), \(n\left(E_1\right)={ }^3 C_1 \times{ }^5 C_1=15 \text { ways }\) When \(P\) is not included, Number of triangles formed…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If and , thenTS EAMCET 2021 Medium
- If the volume of parallelopiped with conterminus edges \(4 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+\hat{\mathbf{k}},-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(3 \hat{\mathbf{i}}+9 \hat{\mathbf{j}}+p \hat{\mathbf{k}}\) is 34 cubic units, then \(p\) is equal to :TS EAMCET 2006 Medium
- If \(\tan 20^{\circ}=\lambda\), then \[ \frac{\tan 160^{\circ}-\tan 110^{\circ}}{1+\left(\tan 160^{\circ}\right)\left(\tan 110^{\circ}\right)}= \]TS EAMCET 2017 Easy
- Let be four vectors and let and . ThenTS EAMCET 2022 Easy
- The equation of the circle that touches the -axis at a distance of units from the origin and cuts off an intercept of units on the -axis isTS EAMCET 2019 Easy
- Let \(f: R \rightarrow R\) be defined by
\(f(x)=\left\{\begin{array}{ccc}\alpha+\frac{\sin [x]}{x}, & \text { if } & x>0 \\ 2, & \text { if } & x=0 \\ \beta+\left[\frac{\sin x-x}{x^3}\right], & \text { if } & x < 0\end{array}\right.\)
equal toTS EAMCET 2012 Easy
More PYQs from TS EAMCET
- The side of an equilateral triangle is 5 units. In measuring the side, an error of 0.05 units is made. Then the percentage error in measuring the area of the triangle isTS EAMCET 2021 Easy
- \(\int \frac{d x}{x\left(x^4+1\right)}=\)TS EAMCET 2017 Medium
- \(\int \frac{x^2}{1+x^6} d x\) is equal toTS EAMCET 2021 Easy
- A square coil of side 10 cm having 200 turns is placed in a uniform magnetic field of 2 T such that the plane of the coil is in the direction of magnetic field. If the current through the coil is 3 mA, then the torque acting on the coil isTS EAMCET 2025 Medium
- The equation of the pair of straight lines through the point \((1,1)\) and perpendicular to the pair of straight lines \(3 x^2-8 x y+5 y^2=0\) isTS EAMCET 2016 Easy
- Observe the following statements I. If \(d y+2 x y d x=2 e^{-x^2} d x\), then \(y e^{x^2}=2 x+c\) II. If \(y e^{-x^2}-2 x=c\), then \(d x=\left(2 e^{-x^2}-2 x y\right) d y\) which of the following is a correct statement?TS EAMCET 2005 Hard