Recently Active Algebra Questions

(1) Find (+ve) integral solution of the equation 3x^{2}-2xy+7y^{2}=0 (2) find Integral solution of the equation x^{3}+11^{3}=y^{3} in 1st quadrant ...

The integral values of a for which the quadratic equation (x – a)(x – 10) + 1 = 0 has integral roots are a. -1, 3 b. 2, 3 c. 12, 8 d. -8, -12 ...

what is the argument of a real number?i think it's 0(as imaginary part is 0,tan-1 (y/x)=0) but according to fiitjee the statement is false. plz verify as soon as possible! ...

Let S(n) denote the number of ordered pairs (x,y) satisyfing \frac{1}{x}+\frac{1}{y}=\frac{1}{n} where n > 1, , and x,y,n \in N (1) FInd the value of S(6) (2)Show that if n is prime , then S(n) = 3 always ...

1) if 3x2-2bx+(b2+2c2+2a2)= 2(bc+ca) then A)a,c,b are in A.P B)a,c,b are in H.P C)a,b,c are in A.P D)a,b,c are in H.P 2)if β,γ are the solutions of a tanθ+b secθ =a,then tha value of (β+γ) is A) ∩/3 B)∩/2 C)Ï€/4 D)Ï ...

I really want a long discussion on how to draw the following graphs --- 1 > y = [ e[x] ] 2 > y = { e{x} } ...

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if x = 2 + 2^2/3 + 2^1/3 , then the value of x^3 -6x^2 +6x is ---??? ...

1) 1 + \frac{(1.3) }{6}+ \frac{(1.3.5)}{6.8} +.............. 2) \frac{2}{1!} + \frac{6}{2!} + \frac{12}{3!} + \frac{20}{4!} + ................. find the sum ...

f(x)=\frac{3a}{x+a}+\frac{4b}{x+b}-\frac{5c}{x+c}-\frac{6d}{x+d} is divisible by x2 the find the value of *Image* ...

i was looking in hall and knight and ound that there were various methods to solve the same sum like the sum of 1.2.3 +3.4.5 i typicallly do these methods by the sigma method and i ifnd this cupled with some iq an metho of di ...

2 regular polygons are inscribed in the same circle.first polygon has 1982 sides and second has 2973 sides.If the polygon has comon vertices,find their total no. and plz dont give me BT soln[1] ...

we know fibonacci series.. 1 1 2 3 5 8.......... is there a way to find the nth term? ...

Five persons entered the lift cabin on the ground floor of an 8-floor house. Suppose that each of them independenly and with equal probability can leave the cabin at any floor beginning with the first. Find the probability of ...

find- \sum_{r=0}^{q}({^{q}C_{r}}).(^{N}C_{n-r}).(a^{N-n+r}) ??? ...

1.If roots of ax^2-bx+c=0 lies between 0 and 1 P.T: log abc>2 5 ...

If f(x)=\frac{a^x}{a^x +\sqrt{a}} [a>0] then evaluate \sum_{r=1}^{2n-1}{2f(\frac{r}{2n})} ...

A 15-letter word is to be formed by using 5A's, 5B's and 5C's.....Such dat there are no A's in the 1st 5 places, no B's in the next 5 places and no C's in the last 5 places. How many such words are possible? AKS solved dis fo ...

Q1 x_n=1^2-2^2+3^2-....+(-1)^{n-1}n^2 . Find x101 Q2 Find no of roots of (2.4)x=(2.6)x-1 Graphically it appears that one soln...but i am loooking for algebraic soln... Q3 If a,b,c ε R and (b-1)2<ac then find no. of solns ...

There are 5 identical red balls, 6 identical green balls, 7 identical black balls and 8 identical white balls, the number of ways of selecting five balls from them is ...

ABCD is a square of side 1.P,Q lie on AB and R lies on CD.FInd all possible values of circumradius of triangel PQR ...

Find all roots of the polynomial 4x^6 - 6x^2+2\sqrt 2 = 0 ...

If x,y,z are positive reals satisfying x+y+z=1 , find the maximum value of (1-x)(2-y)(3-z) . ...

Find the number of roots of the equation z^7+4z^2+11=0 satisfying 1<|z|<2 ...

if (1+x+3x^2)^{30}=a_0+a_1x+a_2x^2............a_{60}x^{60} then find the value of a_{5}+a_{7}+a_{9}+.........a_{59} ...

\frac{4}{19}+\frac{44}{19^2}+\frac{444}{19^3}..........\infty ...

i need the best and shortest methods to solve these in exma hall... Q1 Let P(x)=x^5+x^2+1 have roots x_1,x_2,x_3,x_4,x_5 and g(x)=x^2-2 then find value of g(x_1)g(x_2)g(x_3)g(x_4)g(x_5)-30g(x_1x_2x_3x_4x_5) Q2 Let \alpha =e^{ ...

find the average of numbers ksin(k) wer (k=2,4,6......180) ...

(1) Various injective functions f are defined from set A≡ {1,2,3,4} to {1.2.3.4.5.6.7.8.9.10} and a function among them is choosen randomly. If it is found to be increasing , then the probability that f(4) = 8 is (A) 1/12 ( ...

z=\frac{3}{2+cos\theta + i \sin\theta } the locus of z is ? ...