Recently Active Mathematics Questions

If the 10th term of a geometric progression is 9 and 4th term is 4, then its 7th term is ...

The set of values of x which satisfy 5x + 2 < 3x + 8 and frac{{x + 2}}{{x - 1}} < 4 , is ...

What is the value of tan-1((1/2)tan2A)+ tan-1(cotA)+ tan-1(cot3A) ? ...

AB is a secant which intersects a circle with centre O at the points C and D such that AC=BD. From A, B two tangents AR and BS are drawn to meet the circle at the points P and Q respectively( as given in the diagram). PQ join ...

2 sin -1x = cos-1 (1 -2x2) is true for ...

If sin-1x+sin-1y= frac{2pi}{3} , cos-1x–cos-1y= frac{pi}{3} , the number of ordered pairs (x, y) is ...

tan(cos-1x) = sin(cot-11/2), x is ...

If x ≥ 1, then 2 tan -1x + sin-1 frac{2x}{1+{{x}^{2}}} is ...

If cosec-1x = 2 cot-12 + cos-1 (frac{3}{5}) , then x = ...

If P(x) is a polynomial such that P(x2+1)={P(x)}2+1 and P(0)=0,then ∂P/∂x is equal to: (a)-1 (b)0 (c)1 (d)none of these ...

\hspace{-16}$4 balls are to be selected from a group of 11 bolls. 5 of them are of type A,\\\\ 2 of them are type B, 2 are of type R, one of type K and one of type D.\\\\ Q.In how many ways we can arrange 4 balls out of these ...

\hspace{-16}$Find Range of $\bf{f(x)=\frac{\sin^{-1}(x)}{2}+\frac{\cos^{-1}(x)}{3}+\frac{\tan^{-1}(x)}{4}}$ ...

value of f(0), so that its function f(x)=( 1+2x - 1+2x )/x is continues is a)1/3 b)3 c)-1/3 d)0 ...

If f(x)=[x2]-[x]2 and x lies between [0,2] then the range of f(x) is: (a){-1,0} (b){-1,0,1} (c){0} (d){0,1,2} ...

sin ax+cos ax and |sin x|+|cos x| are periodic functions of same fundamental period then a is: (a)0 (b)1 (c)2 (d)4 ...

\hspace{-16}$The Minimum value of the Expression \\\\\\ $\bf{\sqrt{(x_{1}-x_{2})^2+\left(\frac{x^2_{1}}{20}-\sqrt{(17-x_{2})\times (x_{2}-13)}\right)^2}}$\\\\\\ Where $\bf{x_{1}\in \mathbb{R^{+}}}$ and $\bf{x_{2}\in (13,17)}$ ...

The condition that the chord x cos A+y sin A-p=0 of x2+y2-a2=0 may subtend a right angle at the center of the circle is: (a)a2=2p2 (b)p2=2a2 (c)a=2p (d)p=2a ...

\hspace{-16}$Find real values of $\bf{x}$ in $\bf{ {5}^{1+x}+{5}^{1-x}={2}^{1+x}+{2}^{1-x}+{3}^{1+x}+{3}^{1-x}}$ ...

In a third order determinant, each element of the first column consists of two terms, each element of the second column consists of sum of three terms and each element of the third column consists of four terms. Then it can b ...

in how many ways can a number whose no of factors is N be divided into product of three factors... ...

Show that the area of a right-angled triangle with all side lengths integers is an integer divisible by 6. ...

if two circles each of radius 5 unit touch each other at (1,2) and the equation of their common tangent is 4x+3y=10,then the equation of the circle, a portion of which lies in all the quadrants is: (a)x2+y2-10x-10y+25=0 (b)x2 ...

\ cos4xcos7x =\ 1/2(cos3x+cos11)dx where'\' is sign of integration. is there any formulae regarding to it... ...

IF y=x+x2/2+x3/3+x4/4+....... THEN PROVE THAT x=y-y2/2!+y3/3!+y4/4!+....... ...

\hspace{-16}\mathbb{I}$f $\bf{n=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+........+\frac{1}{2012}}}$. Then $\bf{\lfloor n \rfloor}$ is \\\\\\ Where $\bf{\lfloor x \rfloor = }$Floor Sum. ...

1) ∫√secx ...

If f(x)= cos nx sin 5x/n is periodic with peiod 3Ï€ then find the sum of integral values of n. ...

\hspace{-16}$If $\bf{f(x+1)=(-1)^{x+1}.x-2f(x)\forall x\in \mathbb{N}}$ and $\bf{f(1)=f(1986)}$\\\\ Then Sum of Digit of the no. $\bf{f(1)+f(2)+f(3)+.....+f(1985)}$ ...

∂n/∂xn(log x) is: (a)(n-1)!/xn (a)(n)!/xn (a)(n-2)!/xn (a)(-1)(n-1)(n-1)!/xn ...

Quadrilateral ABCD has AB=BC=CD, ANGLE ABC=70degees ,and ANGLE BCD=170degree.WHAT IS THE MEASURE OF ANGLE BAD? ...