Recently Active Algebra Questions

Let a,b,c be non-zero real numbers such that 0 ∫ 1 (e-x +ex )(ax2+bx+c)dx = 0 ∫ 2 (e-x+ex)(ax2+bx+c)dx Then the quadratic equation ax2 +bx+c = 0 has (a) no root in (0,1) (b)at least one root in (1,2) (c) a double root in ...

If both the roots of the equation x2-6ax+2-2a+9a2=0 exceeds 3 then (a) a<1 (b) a>11/9 (c) a>3/2 (d) a<5/2 Please solve here ...

If both the roots of the equation x2-6ax+2-2a+9a2=0 exceeds 3 then (a) a<1 (b) a>11/9 (c) a>3/2 (d) a<5/2 Please solve here ...

If x is real,then the maximum value of y=2(a-x)(x+√(x2+b2) ...

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

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 ...

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=? ...

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

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

sqrt 3Â + i = ...

1)When burnt in air,a 12.0 g mixture of carbon and sulphur yields a mixture of CO2 and SO2,in which the number of moles of SO2 is half that of CO2.The mass of the carbon the mixture contains is (a)4.08g (b)5.14g (c)8.74g (d)1 ...

100 Σ [r+0.2](r-1) =? r=1 ...

let, f( x+y/2 ) = f(x)+f(y)/2 for all real x and y and f'(0) exists and equals -1 and f(0) = 1, find f(2) ...

Find the sum to n terms: 1/4 + 1.3/4.6 + 1.3.5/4.6.8 ........... ...

1.A boat is to be manned by 9 crew with 4 on the stroke side,4 on the row side and one to steer.There are 11 crew of which two can stroke only.1 can row only while 3 can steer only.In how many ways the crew can be arranged fo ...

how many quadrilaterals can be made by joining the vertices of convex polygon of 20 sides so that the quadrilateral do not have any side common with sides of the polygon? Ans-4825 ...

if n belongs to N then proof that sinx+sin2x+sin3x+......+sinnx=(sin((n+1)/2)xsin(nx/2))/sinx/2 ...

If {( - 7 - 24i)^{1/2}} = x - iy, then {x^2} + {y^2} = ...

A square root of 2i is ...

For a positive integer n, the expression {(1 - i)^n}{left( {1 - frac{1}{i}} ight)^n} equals ...

The value of {i^{1 + 3 + 5 + ... + (2n + 1)}} is ...

The least positive integer n which will reduce {left( {frac{{i - 1}}{{i + 1}}} ight)^n} to a real number, is ...

If x + frac{1}{x} = sqrt 3 , then x = ...

{i^2} + {i^4} + {i^6} + ..... upto (2n+1) terms = ...

If {left( {frac{{1 + i}}{{1 - i}}} ight)^m} = 1, then the least integral value of m is ...