AP EAMCET · Maths · Binomial Theorem
If \(\left(1+x+x^2\right)^n=c_0+c_1 x+c_2 x^2+\ldots\), then the value of \(c_0 c_1-c_1 c_2+c_2 c_3-\ldots\) is
- A \((-1)^n\)
- B 0
- C \(2^n\)
- D \(3^n\)
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
On replacing \(x\) by \(-\frac{1}{x}\), we get…
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 sum of any two roots of the equation is zero, thenAP EAMCET 2018 Easy
- If the roots of the equation \(4 x^3-12 x^2+11 x+m=0\) are ir arithmetic progression, then \(m=\)AP EAMCET 2024 Easy
- If \(c\) is a parameter, then the differential equation of the family of curves \(x^2=c(y+c)^2\) isAP EAMCET 2019 Medium
- Assertion (A): The difference of the slopes of the lines represented by
\(\mathrm{y}^2-2 \mathrm{xysec}^2 \alpha+\left(3+\tan ^2 \alpha\right)\left(-1+\tan ^2 \alpha\right) \mathrm{x}^2=0 \text { is } 4\)
Reason (R): The difference of the slopes represented by
\(a x^2+2 h x y+b y^2=0 \text { is } \frac{2 \sqrt{h^2-a b}}{|b|}\)AP EAMCET 2023 Medium - The angle between the tangents drawn from the point \((2,2)\) to the circle \(x^2+y^2+4 x+4 y+c=0\) is \(\operatorname{Cos}^{-1}\left(\frac{7}{16}\right)\). If two such circles exist, then sum of the values of c isAP EAMCET 2025 Hard
- If , thenAP EAMCET 2021 Hard
More PYQs from AP EAMCET
- A circle passing through the point \((1,0)\) makes an intercept of length 4 units on X -axis and an intercept of length \(2 \sqrt{11}\) units on Y - axis. If the centre of the circle lies in the fourth quadrant, then the radius of the circle isAP EAMCET 2025 Medium
- A flywheel is rotating at a rate of \(150 \mathrm{rev} / \mathrm{minute}\). If it slows at constant retardation of \(\pi \mathrm{rads}^{-2}\), then the time required for the wheel to come to rest isAP EAMCET 2023 Medium
- A person observes the top of a tower from a point \(A\) on the ground. The elevation of the tower from this point is \(60^{\circ}\). He moves \(60 \mathrm{~m}\) in the direction perpendicular to the line joining \(A\) and base of the tower. The angle of elevation of the tower from this point is \(45^{\circ}\). Then, the height of the tower (in metres) isAP EAMCET 2013 Medium
- If \(\alpha\) and \(\beta\) are two distinct negative roots of \(x^5-5 x^3+5 x^2-1=0\), then the equation of least degree with integer coefficients having \(\sqrt{-\alpha}\) and \(\sqrt{-\beta}\) as its roots isAP EAMCET 2024 Medium
- Match the measurements given in List I with the number of significant figures given in List II.
\(\begin{array}{lll}
\hline & \text{ List I } & \text{ List II } \\
\hline (A) & 74.083 & I. 3 \\
\hline (B) & 0.029 & II. 4 \\
\hline (C) & 0.002407 & III. 2 \\
\hline (D) & 2.74 \times 10^7 & IV. 5 \\
\hline
\end{array}\)
The correct answer is
A B C DAP EAMCET 2018 Easy - An aircraft of mass \(3 \times 10^5 \mathrm{~kg}\) with total wing area \(400 \mathrm{~m}^2\) is in a level flight at a speed of \(540 \mathrm{~km} \mathrm{~h}^{-1}\). The density of air at its height is \(1.2 \mathrm{~kg} \mathrm{~m}^{-3}\). The fractional increase in the speed of the air on the upper surface of its wings relative to the lower surface is ____ \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2017 Medium