Recently Active Mathematics Questions

the centres of two circles C1 and C2 each of unit radius are at a distance 6 units from each other. let P be the midpoint of the line segment joining the centres of C1 and C2 and C be a circle touching circles C1 and C2 exter ...

Q.1. If p,s>0 and q,r<0 then the roots of the equation (s+q)x^2 + (p+q)x +p-r = 0 are (here p>s , q>r) : (a)Imaginary (b)Real and equal (c)Real and distinct (d) Irrational ...

Let f(x)=\begin{Bmatrix} 1-\left|x \right| & \left| x\right|\leq 1 \\ 0& \left| x\right|\geq 1 \end{Bmatrix} and g(x)=\left| f(x+1)\right|+\left| f(x-1)\right| Number of points where g(x) is discontinuous ? ...

2 \left| sin\frac{\pi x}{3!}\right|-3\left| cos\frac{\pi x }{4!}\right|+tan(\frac{e^{7x}}{e^{[7x]}}+tan\frac{7\pi x}{3}) ...

*Image* ...

lim ( n!/(mn)n )1/n n→∞ ...

Statement 1: The period of *Image* *Image* Statement 2: The period of x - [x] is 1. (a)Statement 1 is false, statement 2 is true (b)Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement ...

If tan x= a/b , find the value of asin x- bcos x/asin x+bcos x . ...

there was a ques. from gravitation in JEE 2010 m got it some how but wasn't able to integrate it here is the integral i reached *Image* i changed it to x nd y terms........... ...

1) Any ordinate NP of an ellipse meets the auxiliary circle at Q.Then locus of the intersection of the normals at P and Q is ?? 2)AB is a double ordinate of the parabola y2=4ax .Tangents drawn to the parabola at A and B meet ...

the fraction exceeding its Pth power by the greatest number possible where P≥2 is...... ans: ( 1/P ) 1/P-1 ...

q1 \lim_{x\rightarrow \infty}[\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}] q2 \lim_{x\rightarrow 0}\frac{e^{tanx}-e^x}{tanx-x} ...

if 1000!= 2n.I, where I is an odd integer then the value of n??? ...

Mean and variance of a random variable X having binomial distribution are 4 and 2 respectively.Find P(X>6) Edit:Sorry for the mistake,edited it now ...

1) The line Ax+By+C=0 cuts the x-axis at P and y - axis at Q.Find the co-ordinates of the ortho-centre,centroid and circumcentre of the triangle OPQ ? 2)What is the nature of the locus repesented by the equation (x-y+c)2+(x+y ...

*Image* Please solve ...

Statement 1: The period of *Image* *Image* Statement 2: The period of x - [x] is 1. (a)Statement 1 is false, statement 2 is true (b)Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement ...

Statement 1: The rank of *Image* is 3. Statement 2: The determinant of the abv matrix is not equal to zero. (A)Statement 1 is false, statement 2 is true (B)Statement 1 is true, statement 2 is true, statement 2 is a correct ex ...

Let A={1, 2, 3, ..., n} Find the number of functions f : A → A having the property that f(f(x)) = f(x). P.S. Edited a bit. ...

BKS FOR GUD AMT OF QUESTION S LIKE OF TOPICS LIKS CALCULUS ...

maximize, f(x) if, f(x)= tan-1{ (√[2-(x-1)2])/(8-x)} find x for maximum f ;) ...

find the values of k for which l x-1l + l x -2 l + lx + 1 l + l x +2 l = 4k has integral solutions ans in my book is 2 , 3 ,4 ,5 ..............why not one? ( matrix match type) srry i hv edited it now ..........plz proceed no ...

1. If x = 2 + 5i (where i2 = - 1) and 2(1/1!9! + 1/3!7!) + 1/5!5! = 2a/b!, then the value of (x3 - 5x2 + 33x - 19) is equal to (A) a (B) b (C) a - b (D) a + b ...

1. y+x dy/dx = x [f(xy)/f '(xy)], thn f(xy)= ? a) k(e)(x)2/2 b) k(e)(y)2/2 c) k(e)(xy)/2 d) k(e)(xy) 2. y= (c1 +c2)[sin(3x+c3)] - c4e(2x+c5) Find the order of this differential equation: a) 2 b) 3 c) 4 d) 5 ...

Sum of all the solutions in [0, 4π] of the equation- tanx + cotx +1 = cos(x + π/4) is ?? ...

1) draw the graph of {x2} ......{.} is fractional part 2) \\If\\\; \theta +\phi =\beta ,\left(0<\beta <\frac{\pi}{2} \right)\\ \textup{then find the max value of} \\ sin^2\theta +sin^2\phi ...

1.Area of the region bounded by the curves x=y2-1 and x=|y| 1-y2 is a.1 b.4/3 c.2/3 d.2 2.A man has 7 relatives 4 of them are ladies and 3 gentlemen ,his wife has also 7 relatives 4 of them are gentlemen and 3 of them are lad ...

Evaluate: \int_{0}^{a}{\frac{ln(1+ax)}{1+x^2}}dx ...

Find the sum of all integral values of P for which the equation \left|x+\frac{1}{x} -3\right| = P-3 has exactly two distinct roots. ans-----------21 ...

q1 Find intervals of continuity,differentiability 1) sin-1( 1+x2/2x ) 2) [x[1-x]] [.] denotes Greatest Integer function q2 Find Domain and range 1/[sinx] q3 f(x) and g(x) are twice differentaible functions in [0,2]. If f"(x)= ...