Recent questions in Sets, relations and functions

0 votes

2 answers

The number of selection of \(n\) objects from \(2 n\) objects of which \(n\) are identical and the rest are different is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

If \(b_{1} b_{2}=2\left(c_{1}+c_{2}\right)\) and \(b_{1}, b_{2}, c_{1}, c_{2}\) are all real numbers, then at least one of the equations \(x^{2}+b_{1} x+c_{1}=0\) and \(x^{2}+b_{2} x+c_{2}=0\) has

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

If \(z_{1}\) and \(z_{2}\) be two non zero complex numbers such that \(\frac{z_{1}}{z_{2}}+\frac{z_{2}}{z_{1}}=1\), then the origin and the points represented by \(z_{1}\) and \(z_{2}\)

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

If \(Z_{r}=\sin \frac{2 \pi r}{11}-i \cos \frac{2 \pi r}{11}\) then \(\sum_{r=0}^{10} Z_{r}=\)

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

If \(x+\log _{10}\left(1+2^{x}\right)=x \log _{10} 5+\log _{10} 6\) then the value of \(x\) is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

Given that \(n\) number of A.Ms are inserted between two sets of numbers \(a, 2 b\) and \(2 a, b\) where \(a, b \in \mathbb{R}\). Suppose further that the \(m^{\text {th }}\) means between these sets of numbers are same, then the ratio \(a: b\) equals

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

1 answer

Number of common tangents of \(y=x^{2}\) and \(y=-x^{2}+4 x-4\) is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

The law of motion of a body moving along a straight line is \(x=\frac{1}{2} v t, x\) being its distance from a fixed point on the line at time \(t\) and \(v\) is its velocity there. Then

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

43 answers

Let \(y(x)\) be a solution of \(\left(1+x^{2}\right) \frac{d y}{d x}+2 x y-4 x^{2}=0\) and \(y(0)=-1\). Then \(y(1)\) is equal to

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

The differential equation representing the family of curves \(y^{2}=2 d(x+\sqrt{d})\) where \(d\) is a parameter, is of

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

The value of \(\lim _{n \rightarrow \infty} \frac{1}{n}\left\{\sec ^{2} \frac{\pi}{4 n}+\sec ^{2} \frac{2 \pi}{4 n}+\ldots \ldots+\sec ^{2} \frac{n \pi}{4 n}\right\}\) is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

The value of \(I=\int_{\pi / 2}^{5 \pi / 2} \frac{e^{\tan ^{-1}(\sin x)}}{e^{\tan ^{-1}(\sin x)}+e^{\tan ^{-1}(\cos x)}} d x\), is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

1 answer

Let \(I=\int_{\pi / 4}^{\pi / 3} \frac{\sin x}{x} d x\). Then

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

The value of the integral \(I=\int_{1 / 2014}^{2014} \frac{\tan ^{-1} x}{x} d x\) is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

If \(M=\int_{0}^{\pi / 2} \frac{\cos x}{x+2} d x, N=\int_{0}^{\pi / 4} \frac{\sin x \cos x}{(x+1)^{2}} d x\), then the value of \(M-N\) is

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

If \(\int f(x) \sin x \cos x d x=\frac{1}{2\left(b^{2}-a^{2}\right)} \log f(x)+c\), where \(c\) is the constant of integration, then \(f(x)=\)

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

3 answers

If \(\int e^{\sin x}\left[\frac{x \cos ^{3} x-\sin x}{\cos ^{2} x}\right] d x=e^{\sin x} \cdot f(x)+c\), where \(c\) is constant of integration, then \(f(x)=\)

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a twice continuously differentiable function such that \(f(0)=f(1)=f^{\prime}(0)=0 .\) Then

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a twice continuously differentiable function such that \(f(0)=f(1)=f^{\prime}(0)=0\). Then

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

0 votes

2 answers

Let \(\mathrm{f}:[\mathrm{a}, \mathrm{b}] \rightarrow \mathbb{R}\) be such \(\mathrm{f}\) is differentiable in \((\mathrm{a}, \mathrm{b}), \mathrm{f}\) is continuous at \(\mathrm{x}=\mathrm{a} \& \mathrm{x}=\mathrm{b}\) and moreover \(\mathrm{f}(\mathrm{a})=0=\mathrm{f}(\mathrm{b}) .\) Then

asked Dec 13, 2021 in Sets, relations and functions by kritika (90.1k points)

Page:

« prev
1
2
3
4
5
6
7
8
...
21
next »

Recent questions in Sets, relations and functions

...