Recent questions in Maths

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3 answers

The order of the differential equation of all parabolas whose axis of symmetry along x-axis is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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3 answers

If the solution of the differential equation \(x \frac{d y}{d x}+y=x e^{x}\) be, \(x y=e^{x} \varphi(x)+c\) then \(\varphi(x)\) is equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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3 answers

The value of \(\operatorname{lt}_{n \rightarrow \infty}\left\{\frac{\sqrt{n+1}+\sqrt{n+2}+\ldots .+\sqrt{2 n-1}}{n^{3 / 2}}\right\}\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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1 answer

\(\int_{0}^{1} \log \left(\frac{1}{x}-1\right) d x=\)

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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3 answers

\(\int 2^{x}\left(f^{\prime}(x)+f(x) \log 2\right) d x\) is equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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1 answer

\(\int \frac{\log \sqrt{x}}{3 x} d x\) is equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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2 answers

If \(f(x)=\tan ^{-1}\left[\frac{\log \left(\frac{e}{x^{2}}\right)}{\log \left(e x^{2}\right)}\right]+\tan ^{-1}\left[\frac{3+2 \log x}{1-6 \log x}\right]\) then the value of \(f^{\prime \prime}(x)\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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1 answer

\(\lim _{x \rightarrow 1}\left(\frac{1+x}{2+x}\right)^{\frac{(1-\sqrt{x})}{(1-x)}}\)

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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2 answers

If \(f(x)\) is an odd differentiable function defined on \((-\infty, \infty)\) such that \(f^{\prime}(3)=2\), then \(f^{\prime}(-3)\) equal to

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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3 answers

If \(y=(1+x)\left(1+x^{2}\right)\left(1+x^{4}\right) \ldots . .\left(1+x^{2 n}\right)\) then the value of \(\left(\frac{d y}{d x}\right)\) at \(x=0\) is

asked Dec 8, 2021 in Sets, relations and functions by anonymous

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3 answers

If \(y=(1+x)\left(1+x^{2}\right)\left(1+x^{4}\right) \ldots . .\left(1+x^{2 n}\right)\) then the value of \(\left(\frac{d y}{d x}\right)\) at \(x=0\) is

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

Angle between the planes x+y+2z=6 and 2x–y+z=9 is

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

A straight line joining the points (1,1,1) and (0,0,0) intersects the plane 2x+2y+z=10 at

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

If the vertex of the conic \(y^{2}-4 y=4 x-4\) a always lies between the straight lines; \(x+y=3\) and \(2 x+2 y-1=0\)

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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5 answers

If \(P Q\) is a double ordinate of the hyperbola \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) such that \(\Delta O P Q\) is equilateral, \(O\) being the centre. Then the eccentricity e satisfies

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

Then equation of auxiliary circle of the ellipse \(16 x^{2}+25 y^{2}+32 x-100 y=284\) is

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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2 answers

A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\left(\frac{y}{4}\right)\) with the \(x\)-axis. It intersects the parabola \(y^{2}=4(x-3)\) at points \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) respectively. Then \(\left|x_{1}-x_{2}\right|\) is equal to

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

The equation of a line parallel to the line \(3 x+4 y=0\) and touching the circle \(x^{2}+y^{2}=9\) in the first quadrant is

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

The locus of the point of intersection of the straight lines \(\frac{x}{a}+\frac{y}{b}=K\) and \(\frac{x}{a}-\frac{y}{b}=\frac{1}{k}\), where \(k\) is a non-zero real variable, is given by

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

The line through the points (a, b) and (–a, –b) passes through the point

asked Dec 7, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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