Recently Active Mathematics Questions

A rectangular Hyperbola is drawn thru the point of intersection of the circle x2+y2+2gx+2fy+c=0 & the pair of straight lines ax2 + by2+ 2hxy=0. If the hyperbola cuts x axis at A & B & the y-axis at C & D . The equation of the ...

prove that bc(b+c)+ca(c+a)ab(a+b)<=2(a3+b3+c3) there r many sol to this sum but 1 ol just takes 2 steps lets see who get it ...

Q12 added [1][1] 1) \int \sqrt{\frac{(1-cos\theta )}{cos\theta (1+cos\theta )(2+cos\theta )}}d\theta ans..................> cosec^{-1}(2cos^{2}\frac{\theta }{2})+c [ when solved will add new questions here.] 2) 2) \int \fr ...

if y(1)=1 , y'(1)=1 and xyy''+xy'2 =3yy' then find y2(2) ??? 8.5 ...

Q1. (T/F) If the complex nos. z1, z2, z3 represent the vertices of an equilateral triangle such that |z1| = |z2| = |z3|, then z1+z2+z3 ≠0 (ans given: T) Q2. No. of ways to Arrange letters of the word INTERMEDIATE such that ...

Cos(α - β)=1 & cos(α + β)= 1/e ; where α,β ε [-π,π] The number of pairs (α,β) which satisfy both the equations is -- (a) 0 (b) 1 (c) 2 (d) 4 ...

C1=y2=4ax C2:the curve obtained by rotating the C1 120° in anti-clokwise direction C3: refllection of c2 wrt y=x S1 and s2 ,s3..are focus of the curves Q1.find the parametric eqn of C2 Q2.area of ΔOS2S3 Q3. AREA BOUNDED BY ...

in a ΔABC , radii of escribed circles are r1, r2 , r3 and radius of incircle is r. 1) A(z1) ; B(z2) ; C(z3) are the vertices of a ΔABC in argand plane and │z1-α│=│z2-α│=│z3-α│=8 then r1+r2+r3-r is...... 2) in ...

If \begin{vmatrix} p & b & c\\ a & q & c\\ a& b & r \end{vmatrix}=0 find the value of p/p-a + q/q-b + r/r-c where a≠p. b≠q , and c≠r ans---- 2 ...

a lot contain 20 articles.the probability that the lot contains exactly 2 defective articles is 0.4 and the probality of exactly three defective is 0.6.articles are drwan without replacement till all defective articles are dr ...

f(x) = 1/(x-2) is x=2 a critical point ? ...

4 sin2 θ - 8 sin θ + 3 ≤ 0 Find the interval of θ from 0 to 2π. Ans: [ π/6 , 2π/6 ] ...

Let x, y are positive integres such that the LCM of x,y is 1000. If the no. of ordered pairs (x,y) is k , then the no. of divisors of 'k' of the form 6n+1, n belogs to N, is A) 10 B) 2 C) 6 D) 8 ...

q1 S=\sum_{r=0}^{n-1}{\frac{1}{(n-r)^2}}(\frac{C_{r+1}}{C_r})^2 q2 S=\frac{C_0}{n(n+2)}-\frac{C_1}{(n+1)(n+3)}+\frac{C_2}{(n+2)(n+4)}......(n+1) terms ...

Came in roorkee mains. Find the coefficient of x49 in the polynomial \left(x-\frac{C_{1}}{C_{0}} \right)\left(x-2^{2} \frac{C_{2}}{C_{1}}\right)\left(x-3^{2}\frac{C_{3}}{C_{2}} \right).....\left(x-50^{2}\frac{C_{50}}{C_{49}} ...

Multiple option type Let f: \left[-1,1 \right] onto \left[3,5 \right] be a linear polynomial.Then which of the following is true? (A)f(-\frac{1}{2})=\frac{7}{2} \: (B)f(-\frac{15}{4})=\frac{1}{4}\: (C)f(0)\neq 4 \: (D)f(\frac ...

show that \frac{C_{0}}{1}-\frac{C_{1}}{5}+\frac{C_{2}}{9}-\frac{C_{3}}{13}+.........+(-1)^{n}\frac{C_{n}}{4n+1} = \frac{4^{n}n!}{1.5.9....(4n+1)} ...

(1) In a sequence of circles C1, C2, C3, ....... Cn ; the centres lie along positive x-axis with abscissae forming an arithmetic sequence of first term unity and common difference 3. The radius of these circles are in geometr ...

find the value of sin\left(\textrm{log} \left ( \textup{i}^\textup{i} \right ) \right) ...

plzzz integrate this ∫ 1/1+5cosx from 0 to Π...

Q1. single With usual notation in triangle ABC, if cos^2\frac{B}{2}+cos^2\frac{C}{2}+cosA = \frac{3}{2} then sinC + sinB = xsinA.. x = (a) 5 (b) 3 (c) 4 (d) 2 Q2. The distance of the point (2,3,6) from the line \frac{x-1}{1}= ...

Q1. Let the function f(x) = x2+x+sinx-cosx+log(1+|x|) be defined on the interval [0,1]. The function g(x) on [-1,1] satisfying g(-x) = -f(x) is ans given: -x2+x+sinx-cosx+log(1+|x|) (wrong naa?) Q2. If f:R-->R is defined b ...

1)if *Image* then the range of f(x) is? 2)if the function f(x)=sinx+cosax is periodic, then a must be a)a rational number b)an integer c)any real number d)irrational ...

\sum_{s=0}^{n}{(1)} = ( n + 1 ) how is it coming.... or shud we just remember it [12][12][12][12][12][12][12][12][12] ...

\sum_{s=0}^{n}{(1)} = ( n + 1 ) how is it coming.... or shud we just remember it [12][12][12][12][12][12][12][12][12] ...

P.T: (n c 0) (2n c n) - (n c 1) (2n-1 c n) +.... [(-1)^n] (n c n) (n c n)] =8 ...

\int \frac{x^4-1}{x^2(x^4+x^2+1)^{\frac{1}{2}}}dx ...

1. A bag contains "W" white and 3 black balls. Balls are drawn one by one without replacement till all the black balls are drawn. What is the probability that this procedure for drawing the balls will come to an end at the r ...

A is an orthogonal matrix of odd ordeer such that |A|(x2+x+1) > 0, x belongs R. If I is a unit matrix of the same order as of A then value of |A(I+A2)-(I+A)(I+A2-A)| is equal to A) 1 B) -1 C) 0 D) 2 ...

Let f (x) is a continuous function which takes positive values for x≥0 and satisfy \int_{0}^{x}{f(t)dt}=x\sqrt{f(x)} with f (1) =1/2. Then the value of f(\sqrt{2}+1) equals 2 ??? ...