AP EAMCET · Maths · Binomial Theorem
If \({ }^{2 \mathrm{n}} C_3:{ }^{\mathrm{n}} C_3=12: 1\), then \(\mathrm{n}=\)
- A \(5\)
- B \(8\)
- C \(10\)
- D \(3\)
Answer & Solution
Correct Answer
(A) \(5\)
Step-by-step Solution
Detailed explanation
\(\frac{{ }^{2 n} C_3}{{ }^n C_3}=\frac{12}{1}\) \(\frac{\frac{2 n !}{3 !(2 n-3) !}}{\frac{n !}{3 !(n-3) !}}=\frac{12}{1}\)…
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
- The parabola with directrix \(x+2 y-1=0\) and focus \((1,0)\) isAP EAMCET 2020 Easy
- If \(\mathbf{n}=2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\),
\(\mathbf{m}=\hat{\mathbf{i}}-\hat{\mathbf{j}}, \mathbf{l}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}\), then the Cartesian equation of the plane passing through the line of intersection of two planes \(\mathbf{r} . \mathbf{n}=1\) and \(\mathbf{r} . \mathbf{m}=-4\) and perpendicular to the plane \(\mathbf{r} \cdot \mathbf{l}=-8\) isAP EAMCET 2018 Medium - The domain of the function \(f(x)=\sqrt{\log _e\left(\frac{1}{x^2-4 x+4}\right)}+\sin ^{-1}\left(x^2-2\right)\) isAP EAMCET 2025 Medium
- In any \(\triangle A B C, \frac{\cos A}{a}+\frac{\cos B}{b}+\frac{\cos C}{c}=\)AP EAMCET 2022 Medium
- The possible value of x if SD of the numbers 2, 3, 2x and 11 is 3.5 is equal toAP EAMCET 2021 Medium
- Starting from the point , a moving object touches at and reaches the point . If the object travels along the shortest path, the distance between and isAP EAMCET 2022 Medium
More PYQs from AP EAMCET
- Two uniform stretched steel strings \(A\) and \(B\) are vibrating under the same tension. The first overtone of \(A\) is equal to the second overtone of \(B\). If the radius of \(A\) is twice that of \(B\), then the ratio of the lengths of the strings isAP EAMCET 2018 Medium
- Which of the following statements are correct ?
a. Deficiency of vitamin \(\mathrm{K}\) results in increased blood clotting time.
b. The sources of vitamin \(B_2\) are milk and liver
c. Hexapeptide has six peptide bonds
d. Improper functioning of adrenal cortex results in hypoglycemia.AP EAMCET 2017 Easy - If \(\mathrm{A}\) is the domain and \(\mathrm{B}\) is the range of the function
\(f(x)=\left\{\begin{array}{ll}3 x-1, & x>1 \\ x^2+1, & x \leq 1\end{array}\right.\) then \(A-B=\)AP EAMCET 2023 Easy - \(\int_0^{\pi / 2} \log |\tan x+\cot x| d x=\)AP EAMCET 2025 Medium
- If \(A \subseteq Z\) and the function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{R}\) is defined by \(f(x)=\frac{1}{\sqrt{64-(0.5)^{24+x-x^2}}}\) then the sum of all absolute values of elements of A isAP EAMCET 2024 Medium
- A man is known to speak the truth 2 out of 3 times. If he throws a die and reports that it is six, then the probability that it is actually five, isAP EAMCET 2018 Easy