Recently Active Mathematics Questions

*Image* hw 2 proceed i tried 2 ways 1) took √x=cos2φ... and am stuck at -2tanφsin4φdφ ... 2nd way i tried *Image* and stuck after seperatingthe terms and integrating ...

[underset{x o 0}{mathop{lim }},{{(1-ax)}^{frac{1}{x}}}=] ...

In order that the function [f(x)={{(x+1)}^{cot ,x}}] is continuous at [x=0], [f(0)] must be defined as ...

If [frac{log x}{b-c}=frac{log y}{c-a}=frac{log z}{a-b},] then which of the following is true ...

The value of [{{log }_{2}}.{{log }_{3}}....{{log }_{100}}{{100}^{{{99}^{{{98}^{{{.}^{{{.}^{{{.2}^{1}}}}}}}}}}}}] is ...

[{{log }_{7}}{{log }_{7}}sqrt{7(sqrt{7sqrt{7}})}=] ...

*Image* Sir, I could not do those. Pls. help ...

LET A,B,C BE AN ACUTE ANGLED TRIANGLE AND LET D,E,F BE FEET OF PERPENDICULARS FROM A,B,C RESPECTIVELY TO BC,CA,AB.LET THE PERPENDICULARS FROM F TO CB,CA,AD,BE MEET THEM IN P,Q,M,N RESPECTIVELY.PROVE THAT P,Q,M,N ARE COLLINEAR ...

If the point (x, y) be equidistant from the points (a+b, b-a) and (a-b, a+b), then ...

let (nr) denote the no. of ways to put n distinct balls in r identical boxes such that no box empty.show that (nr)=(n-1r-1)+r(n-1r-1) ...

1 + 2 + 3 + 4 +......+ n ≥ (n+n^2)/2 ...

1)If the equation x2+bx+ac=0 and x2+cx+ab=0 have a common root then prove that the equation containing other roots will be given by x2+ax+bc=0. 2)If the equations ax2+bx+c=0 and x3+3x2+3x+2=0 have two common roots then show a ...

The value of sec π/3 is ...

1)The larger of two angles made with x-axis of a straight line drawn through(1,2) so that it intersects x+y=4 at a distance 6 /3 from (1,2) is: (a)15° (b)60° (c)75° (d)105° (ans-(c)) 2)If the straight lines ax+by+c=0 and ...

What is in radians the measurement of an angle which is 45°? ...

If the distance between the points (a, 2) and (3, 4) be 8, then a = ...

*Image* *Image* ...

If a+b+c=3 and a(^2)+b(^2)+c(^2)=5 and a(^3)+b(^3)+c(^3)=7 what is the value of [a(^4)+b(^4)+c(^4)] ?? And how is it done? ...

PROVE THAT ALL THE NUMBERS ARE IN SEQUENCE 10001,100010001,1000100010001,10001000100010001,........ ...

WHAT IS 13+23+33+........+n3 ...

1/3+1/15+1/35+1/63+1/99+1/143+1/195=? ...

{{p}^{th}} term of the series left( 3-frac{1}{n} ight),+,left( 3-frac{2}{n} ight),+,left( 3-frac{3}{n} ight)+..... will be ...

Argument and modulus of frac{{1 + i}}{{1 - i}} are respectively ...

mathop {lim }limits_{x o infty } {left[ {1 + frac{1}{{mx}}} ight]^x} equal to ...

If frac{{c + i}}{{c - i}} = a + ib, where a, b, c are real, then {a^2} + {b^2} = ...

A is twice a good workman as B and together they finish a piece of job in 18 days. In how many days will A alone finish the job? ...

mathop {lim }limits_{x o 0} left( {frac{{{e^x} - 1}}{x}} ight) = ...

If a{{x}^{2}}+bx+c=0, then x ...

A right angled triangle ABC having right angle at C.Ca=b and CB=a moves such that the angular points A and B slide along x-axis and y-axis respectively.Find the locus of C. ...

Find the sum of the series 12-22+32-42+52-62+..........+992-1002 ...