TS EAMCET · Maths · Binomial Theorem
If the coefficient of in the expansion of is , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
1+x21-2x3 =1+x21-2x-3 =1+2x+x21+32x+3·41·22x2+3·4·51·2·32x3+----- Required coefficient of x13 is =2133·4·5....151·2·3.....13+2123·4.....141·2....12+2113·4.....131·2....11…
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 the plane \(7 x+11 y+13 z=3003\) meets the co-ordinate axes in \(A, B, C\), then the centroid of the \(\triangle A B C\) isTS EAMCET 2002 Easy
- If \(N\) denotes the set of all positive integers and if \(f: N \rightarrow N\) is defined by \(f(n)=\) the sum of positive divisors of \(n\) then, \(f\left(2^k \cdot 3\right)\), where \(k\) is a positive integers, isTS EAMCET 2005 Medium
- If \((2 x-y+1)+i(x-2 y-1)=2-3 i\), then the multiplicative inverse of \((x-i y)\) isTS EAMCET 2022 Medium
- If \(\quad \int \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) d x=f(x)-\log \left(1+x^2\right)\) then \(f(x)\) is equal toTS EAMCET 2005 Medium
- If \(f(x)=\frac{1}{\sqrt{x+2 \sqrt{2 x-4}}}+\frac{1}{\sqrt{x-2 \sqrt{2 x-4}}}\) for \(x>2\), then \(f(11)\) is equal toTS EAMCET 2003 Hard
- The longest distance of the point \((a, 0)\) from the curve \(2 x^2+y^2=2 x\) isTS EAMCET 2010 Hard
More PYQs from TS EAMCET
- Two friends \(A\) and \(B\) meet every weekend either at a party or at a Sports Club. The probability that they meet at Sports Club is \(\frac{4}{9}\). The probability that they will dine together at a party and at the Club are respectively \(\frac{1}{3}\) and \(\frac{2}{5}\). On a certain weekend the probability that they disperse without dine together isTS EAMCET 2021 Easy
- \[ \int_0^\pi \frac{x \cos ^2 x}{1+\sin x} d x= \]TS EAMCET 2023 Easy
- The point at which the tangent line to the curve of is horizontal, isTS EAMCET 2021 Medium
- \(\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \cot ^9 x d x=\)TS EAMCET 2019 Hard
- The foot of the perpendicular drawn from \(A(1,2,2)\) onto the plane \(x+2 y+2 z-5=0\) is \(B(\alpha, \beta, \gamma)\). If \(\pi(x, y, z) \equiv x+2 y+2 z+5=0\) is a plane then \(-\pi(A):\) \(\pi(B)=\)TS EAMCET 2024 Easy
- The real part of \(z\) that satisfies \(i z^4+1=0\) isTS EAMCET 2019 Medium