Recently Active Mathematics Questions

LET A={123},THEN THE NO OF RELATIONS CONTAING (!,2),(2,3) WHICH ARE REFLEXIVE AND TRANSITIVE BUT NOT SYMMETRIC ARE.GUYS PLS EXPLAIN BRIEFLY..................... ...

a man is left in a field where a point O is placed.there r two flags named A,B .he is told that if he moves from O to A and the same distance again at an angle 90 from A he reaches A'. and similarly if moves from O to B and t ...

*Image* find *Image* (prctc) 2. *Image* ...

Prove that any integer of the form 3k+2 also has a prime factor of the form 3k+2............ ...

this thread is mainly intended to give some insight into congruences and how to solve various jee related problems using that concept.. definition of congruent: A number `a` is said to be congruent to `b` modulo `m` if `m` di ...

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What is the diameter of a parabola?? ...

although m not the right person to give problem for practice but still m posting some ques for practice.....i jus started this cozz i thinkj the threads r still in the joy nd shock of jee results:P:D.. 1)In a book with page n ...

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a≥b>0=> a+a/b(a-b)≥4 hey its a/b.1/(a-b) ...

A & B are fixed points. The vertex C of triangle ABC moves such that cot a + cot b=constant. The locus of C is a straight line a> perpndicular to AB. b> parallel to AB. c> inclined at angle(A-B) to B. d> none of t ...

x+y=2 =>x3 y3 (x3+y3)≤2 x,y +ve reals ...

If three positive real numbers a, b, c are in A.P. and abc = 4 then minimum possible value of b is ...

find the min value of 4sin2θ+9cosec2θ ...

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Find the eq. of the circle which passes through the points (2,0) and (0,2) and orthogonal to the circle 2x2+2y2+5x-6y+4=0 ...

Find the eq. of the circle which cuts orthogonally the circle x2+y2-4x+2y-7=0 having the centre at (2,3) I tried to use the relation d2=r12+r22 but then i got a quadratic eq. which was really wrong. Help me. ...

Find the eq. of the circle which passes through (1,1) and cuts orthogonally x2 + y2-8x-2y+16=0 and x2+y2-4x-4y-1=0 Previously i did a similar kind of sum for a circle which passed through (0,0) so there was no constant term i ...

*Prove that every integer of the form n^4+4 is always composite......... ...

prove that xyz >(y+z-x)(z+x-y)(x+y-z) i have found one solution but i am sure a better is existing in someones brain :) ...

Prove the criteria for divisibility by 9. ...

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For what values of x, the rate of change of x4/4+(x3/3 )- x is more than x4 /4?? ...

*edited*sorry- title is a misnomer 1.The domain of defination of function y(x) given by the equation ax+ay=a(a>1)is..? Ans.[0. 1) 2.g(x)=1+x1/3..then a function such that f(g(x))=3- x +x is ..? Ans.x3-3x2+2x+3 3.The functi ...

Find the range of values of K for which the straight line y=2x+K lies between the circles x2+y2-16x-2y+61=0 and x2+y2-2x-2y+1=0. ...

Q1Graph the inequality |x|+|y|≤1 Q2)When we shift the graph of(x) through a towards left, we transform f(x) to f(x-a).Say funct be y=x.If I change it to y=(x-1). first f(2)=2, f(3)=3 f(4)=4.Now (3)=2 f(4)=3 f(2)=1.this mean ...

Q2)When we shift the graph of(x) through a towards left, we transform f(x) to f(x-a).Say funct be y=x.If I change it to y=(x-1). first f(2)=2, f(3)=3 f(4)=4.Now (3)=2 f(4)=3 f(2)=1.this means initially, 2 was the value for 2 ...

if 1-x2 + 1-x2 = a(x-y), prove that dy/dx= 1-y2 / 1-x2 ...