Recently Active Mathematics Questions

*Image* In the given fig. graph of y = p(x) = x4 + ax3 + b2 + cx + d is given. If p(x) + c = 0 has 4 distinct real roots α , β , γ , δ then [α] + [β] + [γ] + [δ] is equal to (A) -1 (B) -2 (C) 0 (D) 1 plzz give the ful ...

In a circle with center O , OA , OB r radii angle AOB = 90 degrees . A semi circle (S1) is constructed using segment AB as its diameter non - overlapping with triangle OAB . The ratio of the area of S1 outside given circle to ...

FInd the value of : (4 cos29 - 3)(4 sin263 - 3) ...

Let P be an interior point of a triangle ABC. Extend AP, BP, CP to meet BC, CA, AB respectively in D, E, F. Suppose the areas of the triangles APE, APF and BPD are equal, prove that P is the centroid of triangle ABC. ...

*Image* how did we get x/y=c/b? ...

find Min. and Max. value of r in 5r2 + 12r.cos(a) + 7 = 0 (where r ≥0) ...

Find the sum of the the intercepts on the axes of coordinates by any tangent to the curve √x +√y=2 Plz solve this problem............ ...

the equation e^(x-1)+x-2=0 has how many roots ?????????? ...

The number of ways of dividing 15 men and 15 women into 15couples,each consisting of man and woman is a. 1240 b.1840 c.1820 d.2005 ...

cos∂cos2∂cos3∂=1/4 {0≤∂≤180} then 1. sum of the roots of the equation is? 2.find all the roots of this eq. PLEASE GIVE A DETAILED SOLUTION FOR THIS QUESTION. ...

\lim_{x\rightarrow 0} \frac{sec 4x-sec 2x}{sec3x-secx} ...

Q1)Solve:(x+3)5-(x-1)5≥244. Q2)Find all real a such that 5a2-3a-2, a2+a-2 and 2a2+a-1 are the lengths of sides of Triangle. ...

1) Let f: R→ R satisfy xf(x) = [x] f ({x}) + {x} f ([x]), (brackets have their usual meaning). Find f(x). ...

I can find the domain and range when there is a case of composition of general function. But,I face difficulty in finding out the range and domain of real functions. Am posting some doubts, please help me out. 1)Let f be a re ...

in the case of the differential eq of all non-horizontal lines in a plane we take ax+by =1 and then differentiate it twice with respect to y , and in the case of all non-vertical lines in a plane we differentiate the above eq ...

Let a be the smallest +ve integer with the property as follows: there are distinct positive integers a1,a2,a3,a4,a5 such that g(x)=(x-a1)(x-a2)(x-a3)(x-a4)(x-a5) has at least `a` non zero coefficients find set of (a1,a2,a3,a4 ...

3sin x4 + cos x4 =1 find the general solution ...

if f: R-R is a function satisfying the property f(2x+3) + f(2x+7) = 2 for all x belongs to R , then the period of f(x) is ...

A boat has a crew of 10 men of which 3 can row only on one side and 2 only on the other.In how many ways,can the crew be arranged?? ...

z has property that |z-5i|=1 find z1 with the property that |z-z1| is maximum Pls also if u can explain little bit.. ...

if y, = y+1 and y(0)=1 find value of y(ln2) ...

This question might seem silly but this is my doubt. we use mod. function for x2=9 i.e. x=±3 But if we just calculate the √9, we dont write ±3, though both +3 or -3 when squared equal 9. ...

1.Find the number of positive unequal integral solutions of the equation a+b+c+d=20. 2.A five digit number divisible by 3 is to be formed using the number 0,1,2,3,4,5,without repetition.The total number of ways this can be do ...

1.Let us define a recursion as: b1 = 1, bn = cos bn-1 Find:- limn→ ∞(infinity) bn a) does not exist. b) lies between 1 and 2. c) lies between 0 and1/2. d) lies between 1/2 and 1. ...

1 . Does there exist a function " f " defined on the set of positive real numbers which takes only positive real values , and satisfies , i > f ( x f ( y ) ) = y f ( x ) ii > f ( x ) tends to zero as " x " approaches in ...

0 ∫ 1 tan-1 ( 1-x + x2 ) dx ...

1. 1+22+333+4444+......... upto n terms 2. Find the sum of Products of 1st n natural numbers taken 2 at a time. 3. Show that 49,4489,44489,........, the no's obtained by inserting 48 in the middle of the subsequent terms are ...

not much tough \int_{0}^{1}\frac{\ln(1+x)}{1+x^{2}}\mathrm{dx} ...

A Horse is at a point P at time t=0 Horse moves along the track at speed of 20 km/hr.How fast is his shadow moving on the wall when he has covered 1/8 of the track. *Image* ...

1)Two cards are drawn at random from a well shuffled pack of 52 cards & thrown away.Find the probability of drawing an ace from the remaining 50 cards. 2)A & B play alternately with an unbiased die.He who first throws a 'six' ...