Recent questions and answers in Mathematics

$\sqrt 2 - cosec20^{\circ}- \sec 20^{\circ}=$

answered Sep 27, 2020 by kailashkc147

1 answer

If the curves $x^2+py^2=1$ and $qx^2+y^2=1$ are orthogonal to each other, then

answered Jun 21, 2020 by charandevarakonda2003

1 answer

The remainder obtained when the polynomial $1+x+x^3+x^9+x^{27}+x^{81}+x^{243}$ is divided by $x-1$ , is .................. .

answered May 18, 2020 by kuppalavenkatarao

1 answer

If $\alpha,\beta, \gamma$ are the roots of the equation $x^3-6x^2+11x+6=0,$ then $\sum \alpha^2 \beta+ \sum \alpha \beta^2$ is equal to :

answered Apr 26, 2020 by thutamalliswari6409

1 answer

Equations of the latus rectum of the ellipse $9x^2+4y^2-18x -8y-23=0$ are :

answered Mar 31, 2020 by rad74ika

2 answers

The angle of elevation of an object from a point P on the level ground is $\alpha$ . Moving d meters on the ground towards the object. the angle of elevation is found to be $\beta$ . Then the height (in meters) of the object is

answered Aug 23, 2019 by medisettigayathri92

2 answers

$x=\cos \theta,y= \sin 5 \theta =>(1-x^2)\large\frac{d^2y}{dx^2}$ $- x \large\frac{dy}{dx}$ is equal to

answered Jul 17, 2019 by kyasaramvarshith649

1 answer

The product of the perpendicular distances from the origin on the pair of straight lines $12x^2+25xy+12y^2+10x+11y+z=0$ is :

answered Apr 18, 2019 by hemanthsamudrala28

1 answer

If $y=(1+x)(1+x^2)(1+x^4)........(1+x^{2^{n}}),$ then $\bigg(\large\frac{dy}{dx}\bigg)_{x =0}=$

answered Mar 25, 2019 by debabrataa344

1 answer

If $\theta$ is the angle between the tangents from $(-1,0)$ to the circle $x^2+y^2-5x+4y-2=0$ , then $\theta$

answered Mar 11, 2019 by pranaysahith5

1 answer

$\sin^{-1} \large\frac{4}{5}$ $+2 \tan ^{-1} \large\frac{1}{3}$ is equal to :

answered Dec 6, 2018 by hrithwikp

1 answer

If $\overrightarrow {a}$ and $\overrightarrow{b}$ are unit vectors, then the vector $(\overrightarrow a+\overrightarrow b) \times (\overrightarrow{a} \times \overrightarrow{b})$ is parallel to the vector:

answered Dec 6, 2018 by hrithwikp

1 answer

A polygon has 54 diagonals. Then the number of its sides is :

answered Nov 24, 2018 by bibekom1996

2 answers

Two sides of a triangle are given by the roots of the equation $x^2-5x+6=0$ and the angle between the sides is $\large\frac{\pi}{3}$ . Then the perimeter of the triangle is :

answered Nov 17, 2018 by sateeshbabuarigela1974

2 answers

When 2 balls are drawn from bag containing 2 white,4 red and 6 black balls, the chance for both of them to be red is ............... .

answered Nov 13, 2018 by venkateshvaddepalli

1 answer

Box A contains 2 black and 3 red balls, white Box contains 3 black and 4 red balls. Out of these two boxes one is selected at random ; and the probability of choosing Box A is double that of Box B. If a red ball is drawn from the selected box, then the probability that it has come from Box B, is :

answered Aug 27, 2018 by satheeshsharma7

2 answers

$\cos ^{-1}\bigg(\large\frac{-1}{2}\bigg)$ $-2 \sin ^{-1} \bigg(\large\frac{1}{2}\bigg)$ $+3 \cos ^{-1} \bigg(\large\frac{-1}{\sqrt 2}\bigg)$ $-4 \tan ^{-1}(-1)=$

answered May 12, 2018 by piyushkinage217

1 answer

The locus of the point of intersection of the perpendicular tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$ $=1$ is ................

answered Jan 13, 2018 by asinghbbk

1 answer

If $f(x) =2x^4-13 x^2+ax+b$ is divisible by $x^2-3x+2$ , then $(a,b) =$

answered Dec 30, 2017 by pawangidugu

2 answers

A three digit number n is such that the last two digits of it are equal and differ from the first. Then number of such n's is :

answered May 3, 2017 by misraaayush94

1 answer

The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arithmetic mean geometric mean of 4 and 9 is

answered Aug 27, 2015 by _1

2 answers

. If f = →\ \ is defined by f x 2x 2 x for x ( ) = [ ] − ∈ [ ] \. where [x] is the greatest integer not exceeding x, then the range of f is

asked May 13, 2015 by _1

0 answers

The extreme values of $4 \cos (x^2) \cos \bigg( \large\frac{\pi}{3}$ $+x^2\bigg) - \cos \bigg(\large\frac{\pi}{3}$ $-x^2\bigg)$ over R, are :

answered Mar 4, 2014 by meena.p

1 answer