Answered the equation, not the question

Questions that set this trap

43 published questions

• mathematicsLet $I(x) = \int \frac{dx}{(x-11)^{\frac{11}{13}} (x+15)^{\frac{15}{13}}}$. If…
• mathematicsLet $f(x)$ and $g(x)$ be twice differentiable functions satisfying $f''(x) = g''(x)$ for all $x \in R$, $f'(1) = 2g'(1) = 4$ and…
• mathematicsLet $\int x^{3} \sin x \, dx = g(x) + C$, where $C$ is the constant of integration. If…
• mathematicsLet $f(x) + 2f\left(\frac{1}{x}\right) = x^2 + 5$ and $2g(x) - 3g\left(\frac{1}{2}\right) = x$, $x > 0$. If…
• mathematicsThe area of the region enclosed by the parabola $\text{y} = 4\text{x} - \text{x}^2$ and $3\text{y} = (\text{x} - 4)^2$ is equal to
• mathematicsLet $\mathrm{P}$ and $\mathrm{Q}$ be the points on the line $\frac{x+3}{8} = \frac{y-4}{2} = \frac{z+1}{2}$ which are at a distance of $6$…
• mathematicsIf $z$ is a complex number such that $|z| \ge 1$, then the minimum value of $\left|z + \frac{1}{2}(3+4i)\right|$ is:
• mathematicsIf $\mathrm{z}=\mathrm{x}+\mathrm{i} y, \quad x y \neq 0$, satisfies the equation $\mathrm{z}^{2}+\mathrm{i} \overline{\mathrm{z}}=0$, then…
• mathematicsEight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three perso…
• mathematicsIf the equation of the plane containing the line $\mathrm{x}+2 \mathrm{y}+3 \mathrm{z}-4=0=2 \mathrm{x}+\mathrm{y}-\mathrm{z}+5$ and perpen…
• mathematicsThe area of the region…
• chemistryCompound 'B' is
• mathematicsLet $5\mathrm{f}(\mathrm{x})+4\mathrm{f}\left(\frac{1}{\mathrm{x}}\right)=\frac{1}{\mathrm{x}}+3, \mathrm{x}>0$. Then…
• physicsA mass $\mathrm{m}$ is attached to two springs as shown in figure. The spring constants of two springs are $\mathrm{K}_1$ and…
• chemistryStrong reducing and oxidizing agents among the following, respectively, are
• mathematicsA plane $\mathrm{P}$ contains the line of intersection of the plane $\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=6$ and…
• mathematicsLet $\mathrm{f}(\mathrm{x})$ be a function satisfying $\mathrm{f}(\mathrm{x})+\mathrm{f}(\pi-\mathrm{x})=$…
• physicsFor an amplitude modulated wave the minimum amplitude is $3\text{ V}$, while the modulation index is $60\%$. The maximum amplitude of the m…
• mathematicsLet the image of the point $P(2,-1,3)$ in the plane $x + 2y - z = 0$ be $Q$. Then the distance of the plane $3x + 2y + z + 29 = 0$ from the…
• mathematicsIf the maximum distance of normal to the ellipse $\frac{x^2}{4}+\frac{y^2}{b^2}=1$, $b<2$, from the origin is $1$, then the eccentricity of…
• mathematicsIf the domain of the function $f(x) = \frac{[x]}{1+x^2}$, where $[x]$ is greatest integer $\le x$, is $[2,6)$, then its range is
• mathematicsIf the sum and product of four positive consecutive terms of a G.P., are 126 and 1296 , respectively, then the sum of common ratios of all…
• mathematicsLet $\text{A} = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3 \end{pmatrix}$. Then the sum of the diagonal elements of the matrix…
• mathematicsLet $\alpha>0$. If $\int\limits_0^a \frac{x}{\sqrt{x+\alpha}-\sqrt{x}} d x=\frac{16+20 \sqrt{2}}{15}$, then $\alpha$ is equal to :