Recently Active Mathematics Questions

For the curve y = x^2, shortest distance from variable point (0,c) to the curve is described by 'd' = f(c) where c belongs to R and d belongs to [0,∞) then f(c) (a) one-one, onto (b) many-one, onto (c) many-one, into (d) on ...

1) (a doubt) If f(x) = x2sin 1/x , x≠0 x, x=0 then find f'(0) if it exists... 2) (not a doubt) Given f(x) = |x| and g(x) = |x3|. Do the derivatives, f(0) and g'(0) exist? Explain!! :P please give detailed solution for the f ...

Evaluate: lim {x}/tan{x} x-->0 ...

To write a book 1890 digits were utilised. How many pages does the book have? ...

*Image* ABCD is a prallelogram. Vertex D meets the side BC when produced to E such that LDEC = 90° and LDCB = 150°. A person starts from E and reaches C with some speed in time t seconds and then from C to B and again from ...

1) Given vectors A, B and C forms a triangle such that A = B + C. find a,b,c and d such that the area of the triangle is 5 6 where, A=ai + bj + ck B=di + 3j + 4k C=3i + j - 2k well the sum is very easy but i am not getting an ...

X= 4SIN4X + SIN22∂ + 4 COS2{ PIE/4 - ∂/2 } AND PIE<∂ < 3PIE/2 .... FIND THE VALUE OF X...... ...

i am uploading some basic question on NUMBER THEORY.. 1)prove that every cube number,when divided by 7,leaves remainder 0,1 or 6 2)prove that every cube number,when divided by 9,leaves remainder 0,1 or 8 3)if N is any prime g ...

If ax2-bx+c = 0 has two distinct roots lying in the interval (a,b,c) ε N , then 1. log5abc = 1 2. log6abc = 2 3. log5abc = 3 4. log6abc = 4 Find number of ordered triplets (p,q,r) where 1≤p,q,r ≤10 such that 2p+3q+5r is ...

what should be the value of p for the eqn (cos p -1)x2+(cosp)x+sinp=0 to have real roots ans is(-pi , 0) how come? shouldnt it be(0, pi) ...

S1S2S3......S16 are 16 players playing in a tennis tournament no of ways to form teams for doubles is ___ no of teams in which S1 and S2 are is a) same team is _______ b) different team is ______ I expect logical/mathematical ...

Can someone pls explain this .If possible with examples If af(x)>b (1)then if b>0 1)we have f(x)>logab if a>1 2)f(x)<logab if 0<a<1 (2)for a=1 , b<1 ...

$Q:$\Rightarrow$ Find the least positive Integral value of $a$ for which the equation\\\\ $3x^4+4x^3-12x^2+5a=0$ has no real roots. ...

$Q:$\Rightarrow$ Find Max. value of The Expression $f(x,y)=x^2y-y^2x$\\\\. Where $0\leq x,y\leq1.$ ...

$Q:$\Rightarrow$ Find Range of $f(x)=\frac{x+2}{x^2-8x-4}.$ ...

1) How many permutations of the letters a, b, c, d, e, f, g have either two or three letters between a and b? ...

1) Solve Limx→0[(1-ex) sinx/|x| ] ,where[.]represents greatest int func (A)-1 (B)1 (C)0 (D)None of these 2) Solve limx→ π/2 sinx -(sinx)sinx/1-sinx+logesinx ,(here x→ pi/2) (A)2 (B)0 (C)-1 (D)1 Pls solve!!! ...

6!/r!(8-r)!=1 solve for r ...

A+B+C=pie ( A,B,C>0) AND ANGLE C IS OBTUSE THEN A) TAN A.TAN B >1 B) TAN A.TAN B <1 C) TAN A.TAN B =1 D) NONE OF THESE ...

1.Find: Π(n3-1)/(n3+1),from n=2 to n=∞. 2 If the equation x4 -4x3+ax2+bx+1=0 has 4 +ve roots then... value of (\a/+\b/)/(a+b)=? \ /=mod.. ...

Show that 101 is prime in easiest possible way......... ...

What's the value of- 1) 1 + 5/8 + 5.8/8.12 + 5.8.11/8.12.16 +..........................∞ 2) 1/2 + 1.3/2.4 ( 1/4 ) + 1.3.5/2.4.6 ( 1/4 )2 + ............∞ post the solution if possible ...

Given, A triangle ABC in which DE is parallel to BC. DC and BE intersect at O such that area of triangle ADE = 3 sq. units and area of triangle DOE = 1 sq. unit. Find the area of triangle ABC.... Thinking over the problem sin ...

$Q:$\Rightarrow$ If the lines $ax^2+2hxy+by^2=0$ be two sides of a parallelogram and the line $lx+my+n=0$ be one of its diagonal , show that the eqn. of the other diagonal is $y(bl-hm)=x(am-hl)$ ...

*Image* ...

1.A question paper is split into two groups -A and B.The groups contain 4 questions, each question have an alternative .The group B contain 4 questions.A student has to answer at least one question from each group and he can ...

Show that 2003 cannot be written as the sum of two squares. ...

If a,b,c are odd integers, prove that ax2 + bx + c = 0 does not have a rational number solution. Please show the procedure...... ...

a, b, c and d are four numbers which are in A.P. and relation between a, b and d is a + 3b - d = 6 and between c and d is c - d = -4. Then find the sum till 60 terms of the A.P [Ans. 7200] ...

Today a teacher came in our class. He is a bit sycho... truly he is..... He gave us a linear equation and told to solve it in 10 ways... At first he gave us 2x + 4y = 8 and 4x + 8y = 19. So we said, sir this question will hav ...