Recent questions and answers in Math

Prove the following statement by the principle of mathematical induction : \[\] $1+5+9+...+(4n-3)=n(2n-1)$ for all natural numbers $n$.

answered Feb 3, 2021 by abdulrahimshafiuyusuf

1 answer

Choose the correct answer for all $n \in N, 3.5^{2n+1}+2^{3n+1}$ is divisible by

answered Sep 25, 2020 by apoorva14544

1 answer

If $P(n) : 2n < n!, n \in N$, then $P(n)$ is true for all $n \geq $______ .

answered Aug 14, 2019 by s9466813326

1 answer

The equation of the ellipse whose focus is $(1,-1)$,the directrix the line $x-y-3=0$ and eccentricity $\large\frac{1}{2}$ is

answered Mar 6, 2019 by meiopde4

2 answers

True-or-False:There will be only at 24 selections containing atleast one red ball out of a bag containing 4 red and 5 black balls.It is being given that balls of the same colour are identical.

answered Feb 6, 2019 by yesgayathri

1 answer

If for real values of $x\cos\theta=x+\large\frac{1}{x}$,then

answered Dec 21, 2018 by ravishankhwar88

2 answers

$2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$ =

answered Jul 3, 2018 by pady_1

1 answer

Find the sixth term of the expansion $(y^{\Large\frac{1}{2}}+x^{\Large\frac{1}{3}})^n$.If the binomial coefficient of the third term from the end is 45.

answered Feb 8, 2018 by rohit0112004

1 answer

The number of different words that can be formed from the letters of the word INTERMEDIATE.Such that two vowels never come together is ________

answered Jan 28, 2018 by nikitadalwale95

2 answers

The wheel of a railway carriage is 40cm in diameter and makes 6 revolutions in a second. How fast is the train going?

answered Jan 3, 2018 by mahawarravi036

2 answers

State whether each of the following statement is True or False.Justify your answer. ${2,6,10}$ and ${3,7,11}$ are disjoint sets.

answered Jul 2, 2017 by yaswanthrreddy4231

2 answers

Find all pairs of consecutive even possitive integers both of which are lar

answered Jun 15, 2017 by pady_1

1 answer

If $\cos\theta=\large\frac{\cos\alpha-\cos\beta}{1-\cos\alpha\cos\beta}$ then prove that one of the values of $\tan\large\frac{\theta}{2}$ is $\tan \large\frac{\alpha}{2}$$\cot \large\frac{\beta}{2}$

answered Feb 23, 2017 by nehanagwani

2 answers

Write the following sets in roster form : The set of all letters in word TRIGONOMETRY

answered Jul 30, 2016 by sweetypiesneha18

2 answers

3x2−11xy+10y2−7x+13y+k=0 denotes a pair of straight lines find the value of k

answered Jul 1, 2015 by meena.p

1 answer

if the pair of straight lines x^2-2pxy-y^2=0 and x^2-2qxy-y^2=0 be such that each pair bisects the angles between the other pair prove that pq= -1

answered Feb 21, 2015 by sharmaaparna1

1 answer

Let $(x_1,y_1)$ be the point of intersection of the tangent to the parabola $y^2=4ax$ at the points $t_1$ and $t_2$ . Then $x_1=a{t_1}{t_2}$ and $y_1=a(t_1+t_2)$

answered Feb 20, 2015 by meena.p

1 answer

how to remember equation of tangent . can you show how did you find out Equation of tangent at $(a{t_1}^2,2a{t_1})$ is

answered Feb 20, 2015 by vijayalakshmi.r

1 answer

locus of the point of intersection of tangent to $y^2=4ax$ which intercept a constant length d on the directrix

answered Jan 19, 2015 by meena.p

1 answer

Find equation the circum circle of triangle ABC with A(1,0),B(-1,0)C(0,0)

answered Oct 21, 2014 by pady_1

1 answer

Show that the point $(x,y)$ given by $x=\large\frac{2at}{1+t^2}$ and $y=\large\frac{a(1-t^2)}{1+t^2}$ lies on a circle for all real values of $t$ such that $-1\leq t \leq 1$ where $a$ is any given real numbers.

answered Oct 17, 2014 by sreemathi.v

1 answer

Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$ is

answered Oct 17, 2014 by sreemathi.v

1 answer

The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$.Its equation is

answered Oct 17, 2014 by sreemathi.v

1 answer

The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half of the distance between the foci is

answered Oct 17, 2014 by sreemathi.v

1 answer