Recently Active Mathematics Questions

1)if the conics whose equations are sin2θ x2+2hxy+32x + 16y+ 19=0 and cos2θ+x2+2h|xy+sin2θy2+16x+32y+19=0 intersect at four concyclic points then a)h+h|=0 b)h+h|=1 C)h=h| d)none q2)the no. of rational points on a circle ha ...

If a chord is taken at random in a circle, what is chance that its length is more than the radius of the circle? Pls provide method. ...

*Image* ans : i dunno...... ...

7 men and 7 women are sitting around a table so that there is a man on either side of a woman, the number of sitting arrangements is (a) (7!)2 (b) (6!)2 (c) 6!7! (d) 7! ...

*Image* for the 22nd qn If two nos x and y are chosen from the set of all natural numbers the probability that x2+y2 is divisible by 5 must be ...

Q)A person standing on the bank of a river observes that angle of elevation of the top of the tree on the opposite bank of the river is 60° and when he retires 40m away from the tree the angle of elevation becomes 30°.The b ...

The series of natural numbers is divided into groups (1),(2,3,4),(5,6,7,8,9)....and so on. Find the sum of the numbers in the nth group. ...

The radius of the largest circle touhing the rectangular hyperbola xy=1 at (1,1) and axes is _________ i got 2- 2 it is the rong ans so pls give the soln and ans is 3-2 2 ...

The series of natural numbers is divided into groups (1),(2,3,4),(5,6,7,8,9)....and so on. Find the sum of the numbers in the nth group. ...

x=1+a+a2+a3+...to infinity.(|a|<1) y=1+b+b2+...to infinity.(|b|<1) Prove that 1+ab+a2b2+a3b3+...to infinity=xy/x+y-1 ...

how to find the sum of the series- (1)x2+x4+x6+....+x2n (2)1/x2+1/x4+....1/x2n. Please tell in a proper stepwise manner. ...

consider the A.P's 17,21,25...and 16,21,26.......Find the sum of first 100 common terms appearing in the two series. ...

If x,y,z are in H.P,prove that log(x+z)+log(x+z-2y)=2log(x-z). ...

Find three numbers in G.P such that their sum is 21 and the sum of their squares is 189. ...

The axis of a parabola is along the line y=x,and the distance of its vertex from origin is 2 and that from its frocus is 2 2 both lie in the first quadrant,then the equation of the parabola is _____ ...

Given 2s be the perimeter of a triangle,prove that trangle of greatest area is equilateral. ...

the coefficient of x^59 in the expansion of the product (x-1)(x2-2)(x3-3)................(x^11-11) a)13 b)21 c)7 d)11 ...

If two unequal parabolas are having the same focus and axes in opposite directions, then the angle between them at their common point of intersection is a.45° b.30° c.60° d.90° ...

PL NOTE : I KNOW how to solve the following Question ............... My concern is the type : *Image* IN such Questions wat is the instinctive Substituition one MAKES or waat are the primary OBSERVATIONS/DEDUCTIONS/SUBSTITUIT ...

1.Two circles are constructed taking two sides of a triangle as diameter. What is the probability that these two circles intersect on third side of triangle? 2.In a MAMCQ test, der r 4 alternatives out of which 1 or more r co ...

*Image* Bhaiyyas and Sirs PLEASE let others try first. (Thank You) ...

*Image* ans pr ps qs s ...

Not a dbt....... nice concept : Find no of non-negatiove integral solution of a + b + c + 4d = 20 wer a,b,c,,d are whole nos. Does ne1 hav diff methd......... i did it by multinomial thrm ...

*Image* i strugl in dis type. pl. help. ...

a,b,c are 3 nos. such that 1 > a,b,c > 0 and a + b + c = 2 Then show that \frac{a}{(1-a)}\frac{b}{(1-b)}\frac{c}{(1-c)} ≥ 8 This may be very simple but I'm getting LHS ≤ 8 instead of ≥ 8 . I'm not able to find my ...

*Image* ans D ...

LIM ( x^n + n(x^(n+1)) + 1 ) / e^[x] x-->∞ [x] = GIF ...

\sum_{k=0}^{n}{f(x + ka)} = 0 is this functn periodic ?? if yes, fid its period ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

let Z be a complex no. wil Z2 =/Z/2 (mod Z ) ...