Recently Active Algebra Questions

*Image* ...

*Image* ...

*Image* ...

A(z1), B(z2), C(z3), D(z4), E(z5) are the vertices of a regular polygon ABCDE in anti clockwise order whose centre is at the origin O and M(z) is point inside the polygon. 1) If |arg(z4-z5/z-z5)| = |arg(z-z3/z4-z3)| = θ then ...

if x^{5}-x^{3}+x=k then prove that x^{6}≥ 2k-1 ...

plz explain FERMAT"S law.. and its application ...

2) If arg(z4-z5/Z-Z5) = arg(z-z3/z4-z3) = 7∩/30 , then the value of arg(z5-Z1/z-z1) is equal to A) ∩/4 B) 7∩/30 C) 4∩/15 D) ∩/3 ...

1) If |arg(z4-z5/z-z5)| = |arg(z-z3/z4-z3)| = θ then range of θ for which there exists two such M(z) is A) [ 0,3Π/5) B) [0,π/5) c) (0,2π/5) d) none of these ...

For a,b,c belonging in R+ the minimum value of (a+3c)/(a+2b+c)+4b/(a+b+2c)-8c/(a+b+3c) A)12+17√2 B)-12+17√2 C)-17+12√2 D)17-12√2......... ...

1.If z=reitheta,then modulus of eiz=? Ans.e-rsin theta ...

If the sum of first n terms of an A.P. is cn2, then the sum of squares of these n terms is A) \frac{n(4n^{2}-1)c^{2}}{6} B) \frac{n(4n^{2}+1)c^{2}}{3} C) \frac{n(4n^{2}-1)c^{2}}{3} D) \frac{n(4n^{2}+1)c^{2}}{6} ...

A five digit number contains 1,2,3,4,5 without repetition.The probability that number is divisble by 1)4 2)12 3)24 A bag contains 6 red and 3 white balls .Four balls are drawn one by one and not replaced.The probablity that t ...

\left ( 1+\frac{1}{3} \right )\left ( 1+\frac{1}{3^2} \right )\left ( 1+\frac{1}{3^4} \right )\left \left ( 1+\frac{1}{3^8} \right )..........................\left ( 1+\frac{1}{3^{2^n}} \right ) ...

How to find the square root of 1- i ? ...

give the full solution 4 pipes fill a cisern in 15,20,30 and 60 hrs .The first was opened at 6 am,the second at 8am,and the thrid at 10 am and the fourth at noon .When will the reservoir be full? ...

*Image* ...

f(x)=ax^2+bx+c Given |f(x)| \le 1 \forall x \epsilon [0,1] . Find maximum value of \left|a \right|+|b|+|c| . ...

Find all real values of the parameter a for which the equation (a-1)z^{4}-4z^{2} +a+2=0 has only pure imaginary roots. ...

If x+\frac{1}{x}=5 then the numerical value of x^{7}+\frac{1}{x^{7}} is, A) 57965 B) Is a multiple of 7 C) 57695 D) Is a multiple of 5 [ multiple options correct] ...

Q1: If a,b,c are digits ,then rational number represented by 0.cababab.... is ? Q2: Calculate sum of products of ten numbers ±1,±2,±3,±4,±5 taking two at a time. Q3: Sum of series 1/ 3 + 7 + 1/ 7 + 11 + 1/ 11 + 15 ..... ...

1) If A and B are any two different square matrices of order n with A - B is non-singular A3 = B3 and A(AB) = B(BA) , then a) A2 + B2 = 0 b) A2 +B2 = I c) A2 + B3 = I d) A3 + B3 = 0 ...

*Image* ans d Post the solution also......... ...

*Image* ans c Plz post the soln......... ...

*Image* ans b ...

If S=1+2+4+8+16+...∞.Then S is a positive number.Multiply both sides by 2,then it is found that 2S=S-1 which leads to conclusion that S=-1 which is certainly negative.Do you agree with conclusion?Give a suitable explainatio ...

TRY THIS QUESTION: A recurrence satisfies a_{n+1}=a_{n}+\sqrt{1+a_{n}} then Obtain an explicit formula for a_{n} i.e. find a function f(n) such that a_{n}=F(n) (given that a_{0}=0 ) ...

If n line segments of length 1,2,3,4....,n units are given,Calculate number of triangles that can be formed using them ( I saw a ques in which four line segments were given..and answer was caclulated using triangle inequality ...

All the roots of the eqn a_1z^3+a_2z^2+a_3z+a_4=3 where |ai|<1 {i=1,2,3,4} lie outside the circle with centre at origin and radius equal to a) 1 b) 1/3 c) 2/3 d) N.O.T. ...

IF THERE IS A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS THAN IS THERE ANY METHOD FOR REPRESENTING SUCH A EQUATION ON ARGAND PLANE?????? LIKE WE CAN REPRESENT UADRATIC WITH REAL COEFFECIENTS AS PARABOLA ON REAL PLANE....... ...

Q21 Three different numbers are selected at random from the set A = {1, 2, 3,...,15}. The probability that the product of two is equal to the third one is A>1/65 B>7/65 C>1/13 D>5/13 ...