MCQ_SINGLE

If the domain of the function $\cos^{-1}(\frac{2x-5}{11x-7})+\sin^{-1}(2x^{2}-3x+1)$ is $[a,b]$, then the value of $\frac{1}{ab}$ is:

MCQ_SINGLE

In the binomial expansion of $(ax^{2}+bx+c)(1-2x)^{26}$, the coefficients of $x$, $x^{2}$, $x^{3}$ are 56, 0 and 0 respectively. Then the value of $(a+b+c)$ is:

MCQ_SINGLE

If $\int(\cos x)^{-5/2}(\sin x)^{-11/2}dx=\frac{P_{1}}{q_{1}}(\cot x)^{9/2}+\frac{P_{2}}{q_{2}}(\cot x)^{5/2}+\frac{P_{3}}{q_{3}}(\cot x)^{1/2}-\frac{P_{4}}{q_{4}}(\cot x)^{-3/2}+C$, then $\frac{15P_{1}P_{2}P_{3}P_{4}}{q_{1}q_{2}q_{3}q_{4}}$ is equal to :

MCQ_SINGLE

Ellipse E: $\frac{x^{2}}{36}+\frac{y^{2}}{16}=1$. A hyperbola is confocal with the ellipse and the eccentricity of the hyperbola is equal to 5. If the principal axis of the hyperbola is the x-axis, then the length of the latus rectum of the hyperbola is:

MCQ_SINGLE

If the domain of the function $\frac{1}{\ln(10-x)}+\sin^{-4}(\frac{x+2}{2x+3})$ is $(-\infty,-a]\cup(-1,b)\cup(b,c)$ then $b+c+3a$ is Equal to :

View All Questions